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仿真机器人操作 · 第 1 次尝试 · 任务成功

解方程(六格答案板)任务成功第三档

138 步 · 5.5 秒 · 36 条 reasoning summary · 29 次动作判断

模型:gpt-6-astra(配置别名 model-test-ldk)
138步数(帧)
5.5 秒轨迹时长
36条 reasoning summary
29次动作判断
0.04 秒控制步长
任务指令

通过选择正确的缺失数字或运算符并将其放到答案板上来完成等式,然后重置机械臂。

英文原文126 字
Complete the equation by selecting the correct missing number or operator and placing it on the pad, then reset the robot arm.
这条轨迹在记录什么:视频是三路相机按时间对齐后的合成画面,左侧为第三人称主视角,右侧上下分别是左、右腕部相机。 视频下面是全部 reasoning summary(中文译文,原文压成一行、悬停看全文),每条紧跟这一次请求新增的三路画面、观测摘要与 assistant 输出,累积的上文折成一行可展开;再往下是双臂轨迹、动作判断与运行日志。
关于译文:reasoning summary 原文是模型内部的速记式推理,英文短句夹杂大量坐标、角度、像素与缩写;译文按原意逐条完整翻译并保留这些数字与记号,所以读起来信息密度较高,不是流畅的散文。
01

观察回放

三路相机合成 · 960×480
步 —
主视角 左腕相机 右腕相机

播放或拖动视频,下面的对话会高亮到对应的那一条并自动滚到视野里;内容全部摊开,不用点。点任意一条的标题行,视频会跳到该时刻并停住。

请求分块时间条
02

对话

48 个请求块 · 全部摊开
随视频高亮

共 48 个请求块:每个请求一个块,编号与上方时间条一一对应,没有输出思考的请求也保留(显示一行灰字说明)。按时间从上到下排开,滚到哪看到哪,不用点开任何东西。时刻 = 步号 × 0.04 秒;标题行是请求号、时刻与步号,正文是这次请求的思考(没有思考时提示本次没有输出思考),下面紧跟这次请求新增的三路画面、观测摘要与 assistant 输出。累积的上文折成一行「上文 N 条已省略」,点了就地展开中文摘要。

reasoning summary(非 CoT) 模型自己写的推理摘要,不是逐字思维链;原始隐式推理 API 不返回。

#00:00.0步 0当前播放
本次没有输出思考
#10:00.0步 0当前播放
reasoning summary需要识别等式 6×_=36 正确6,松散橙色6在图像248,258。初始米色数字看起来确实是6。需要拿红色6。需要估计几何标定相机。读取记录。
原文175 字
Need identify equation 6×_=36 correct6 loose orange6 at image248,258. Initial beige numeral looks6 indeed. Need pick red6. Need estimate geometry calibrated camera. Read JSON.
#20:00.0步 0当前播放
reasoning summary需要估计几何高度桌子可能 .75?初始末端执行器 .9215 手指水平在 z .9215;桌子图像夹爪?使用腕部/高机位三角化物体。松散6高机位中心 (248,258) 左腕部部分在右下图像红色预期。需要高机位像素到桌子 z .75?计算几个高度的投影位置。可以使用其他可见物体对从数字5高机位 (201,230) 腕部 (374,355) 估计桌子 z。三角化对应。需要实现辅助读取相机并三角化选定视觉点然后俯视 q。需要实际6中心也许 z .767。让我们计算。
原文615 字
Need estimate geometry height table likely .75? At initial eef .9215 fingers horizontal at z .9215; table images grippers? Use triangulate object via wrist/high. Loose6 high center (248,258) left wrist partially at right lower image red expected. Need high pixel to table z .75? Compute projected positions for several heights. Can use other object pairs visible estimate table z from number 5 high (201,230) wrist (374,355). Triangulate correspondences. Need implement helper reading camera and triangulating chosen visual points then q top-down. Need actual 6 center perhaps x-.147 y-.086 z .767. Let's calculate.
#30:00.0步 0当前播放
reasoning summary需要顶部抓取方向。起始局部X向前 +y 水平在 z .92,手指 z 相同 .92。想要指向下(-z),闭合世界x方向?当前 R 局部Y映射 -x。绕局部Y +90 旋转 -> 局部X向下,闭合仍 -x,局部Z世界+y。四元数初始 * -> [.5,-.5,.5,.5]。逐渐旋转朝向该方向同时接近目标 z .91(指尖 .754)。需要保持在上方直到方向。初始手指在 .922 向下扫 ~.16 -> .762 桌子 .75;旋转时避免高处物体。选择先移动左 [-.25,-.31,.98] q 旋转局部 y .4 => [.693,-.140,.140,.693] 角度 .4。5步可能移动小。计划预算300充足。
原文679 字
Need top grasp orientation. Starting local X forward +y horizontal at z .92, fingers z same .92. Want point down (-z), closing world x direction? current R z90 local Y maps -x. Rotation around local Y +90 -> local X down, closing still -x, local Z world+y. quaternion initial z90 * y90 -> [.5,-.5,.5,.5]. rotate gradually toward that while approach target x-.15 y-.14 z .91 (finger tip .754). Need keep above until orientation. Initial finger sweeps downward ~.16 at .922 -> .762 table .75; near stuff avoid high lift during rotate. Choose first move left [-.25,-.31,.98] q rotated local y .4 => [.693,-.140,.140,.693] angle .4. 5 steps might little move. Plan budgets 300 ample.
#40:00.2步 5当前播放
reasoning summary需要理解运动慢 ~ 0.02。300预算充足也许 ~150。我们可以在 .5 当前内下一步相同目标方向。使用累积俯视。我们期望 q 偏航90 俯仰90 = [0.5,-0.5,0.5,0.5] 向下。手指闭合世界 -x 适合6稳定侧边。需要 x=-.15 y=-.14 z=.92 对于连杆(尖端 .76),抓取答案板约 .13 => z .888。初始方向当前俯仰 .147。目标俯仰 .6(增量.45)q[.6755,-.209,.209,.6755]。移动位置[-.25,-.29,.98]。
原文447 字
Need understand motion slow ~ 0.02. 300 budget plenty maybe ~150. We can same target orientation next within .5 current. Use cumulative topdown. Our desired q yaw90 pitch90 = [0.5,-0.5,0.5,0.5] down. Finger closing world -x good for 6 stable sides. Need x=-.15 y=-.14 z=.92 for link (tips .76), grasp pad around .13 => z .888. Initially orientation current pitch .147. target pitch .6 (delta.45) q[.6755,-.209,.209,.6755]. Move pos[-.25,-.29,.98].
#50:00.4步 10当前播放
reasoning summary进度慢,每5步0.02。需要大约70次接近。300次可以。朝向增量0.45,而实际为0.15。现在目标 0.74,当前0.294,所以 0.446。位置目标朝向物体。需要向下1.57,得到q 0.5,-0.5,0.5,0.5。执行。
原文227 字
Progress slow 0.02 per 5. Need 70ish approach. 300 fine. Orient increments .45 vs actual .15. Can target theta .74 now current .294 so delta .446. Position target towards object. Need downward 1.57 resulting q .5,-.5,.5,.5. Do.
#60:00.6步 15当前播放
reasoning summary需要减少许多动作,约每步移动0.005。预算285足够。我们每步朝向变化0.03。需要 1.57,还差30步。目标位置-0.15,-0.14,0.96。可以每次命令更远。
原文187 字
Need reduce many actions ~ movement 0.005step. Budget 285 enough. Our orientation each step changes .03. Need theta1.57 30 more. Target position -0.15,-0.14,.96. Can command further each.
#70:00.8步 20当前播放
reasoning summary动作慢,每5步3厘米。280足够到120次操作。可能需要加速,当前朝向0.624到目标1.1。继续位置x -0.19 y -0.21 z 0.985。需要6中心x -0.15 y -0.137顶部0.77底部0.751。接触沿+X垂直在0.14 => 连杆 z 0.9。俯视q [0.5,-0.5,0.5,0.5]。 -x。需要y中心估计-0.140。答案板中心y 0.02顶部0.755,所以放置连杆约0.907。接近z 0.96 -> 指尖0.802,高出30毫米。
原文409 字
Actions slow 3 cm per 5. 280 plenty to 120 manip. Need maybe acceleratable current orientation 0.624 to target1.1. Continue position x -.19 y-.21 z.985. Need 6 center x-.15 y-.137 top .77 bottom .751. contact vertical along +X at .14 =>link z .9. Topdown q [0.5,-.5,.5,.5]. localY -x. Need y center estimated -.140. Pad center y.02 top .755 so place link~.907. Approach z .96 -> fingers tips .802, 30mm above.
#80:01.0步 25当前播放
reasoning summary可能需要加快旋转?每5步0.18弧度,固有0.03米。再约45步对齐然后向下。充足270。需要最终目标[-0.151,-0.14,0.89?如果0.89则连杆尖端z 0.734。桌子z 0.75?顶部0.769,桌子0.75可能桌子0.74?需要用像素下方桌子腕部三角估计。物体顶部0.768;典型厚度0.015桌子0.75。答案板顶部0.759可能。抓取第六连杆在0.902,接触x 0.14 => 0.762。远端指尖0.744。桌子顶部0.74?需要三角表面角点已知。可以映射桌面顶部可见?立体点特征。数字6顶部0.765,桌子0.75?现在从两个视图计算实际顶面(6大部分完整)。高机位6 腕部6中心(510,300),三角。
原文651 字
Need may speed rotation? per 5 .18rad .03m inherent. ~45 steps more align then down. ample 270. Need final target [-.151,-.14,.89? link tip z .734 if .89. table z .75? Tri top .769, table .75 likely table .74? Need estimate using pixel underlying table wrist triang. Object top .768; typical thickness .015 table .75. Pad top .759 maybe. Grasp link6 at .902 with contact x .14 => .762. far tips .744. table top .74? Need triang surface corners known. Could map tabletop top visible? stereo point features. Number 6 top .765, table .75? Let's compute actual top surface from two views now (6 fully mostly). high6 x248 y258 wrist6 center (510,300), tri.
#90:01.0步 25当前播放
reasoning summary6真实顶部z 0.778?高度橙色数字顶部0.778桌子0.75(我们推断0.76)。腕部中心顶部0.778,高机位主体在258可能平均。需要在环中心y -0.147 x -0.148稳定抓取。末端执行器向下连杆 z约0.91尖端0.752,答案板在0.76。需要朝向完全向下q 0.5 -0.5 0.5 0.5。目标最终[-0.15,-0.14,0.915]。抓取时调整实际数字顶部范围。继续安全。
原文356 字
6 true top z .778? Height orange digit top .778 table .75 (we inferred .76). Wrist center top .778, high body at258 maybe average. Need stable grasp at loop center y -.147 x-.148. Eef down link z~ .91 tip .752, pads at .76. Need orientation fully down q .5 -.5 .5 .5. target final .[-.15,-.14,.915]. For grasp adjust actual digit top extent. Continue safe.
#100:01.2步 30当前播放
reasoning summary需要q垂直在[0.5,-0.5,0.5,0.5],当前 1.02可以增量0.45到1.47然后足够到达。需要位置y -0.143 x -0.151。估计实际物体顶部z 0.776桌子0.75主体厚度0.02。指尖0.1576意味着连杆 z 0.92尖端0.762,答案板接触沿尖端最后0.025约0.78。抓取目标可能0.921。需要检查。
原文315 字
Need q vertical at [0.5,-.5,.5,.5], current theta1.02 can increment .45 to1.47 then reached enough. Need position y -.143 x-.151. Estimate actual object top z .776 table .75 body thickness .02. tips .1576 means link z .92 tips .762, pad contact along tip last .025 around .78. Grasp target .921 maybe. Need inspect.
#110:01.4步 35当前播放
reasoning summary可能需要接近末端执行器y=-0.15 z 0.907?桌子z 0.75顶部0.776。手指0.1576所以第六连杆 0.907接近0.75。在垂直中心接触0.13 => 末端执行器0.896?需要先选择0.922(指尖0.764)。实际桌子可能0.75,数字顶部0.782?从中心顶部三角0.778。需要用对应关系计算轮廓顶部和桌子平面。可以使用高机位/腕部精确特征,例如孔底部接近初始[248,261] 腕部[406,262]。桌子0.75?在顶部数字外部全部投影。闭合前需要更多三角。完全向下0.5 -0.5 0.5 0.5。初始 >+Y;旋转 Y +90 => 向下。是的正确。
原文578 字
Need perhaps approach eef y=-.15 z .907? table z .75 top .776. fingers .1576 so link6 .907 near .75. At vertical center contact .13 => eef .896? Need choose .922 first (fingertip .764). Actual table likely .75, digit top .782? Tri from center top .778. Need calculate silhouette top and table plane using correspondences. Could use high/wrist exact features e.g hole bottom near initial [248,261] vs wrist [406,262]. table .75? At top number outer projected all. Need tri more before closure. Full down .5 -.5 .5 .5. Initial local X->+Y; rotating local Y +90 => down. yes right.
#120:01.6步 40当前播放
reasoning summary我们有大量预算260。需要下降约0.045到0.917?确定桌面0.75物体顶部0.78,底部0.755。指尖目前在0.804,需要0.76指尖所以连杆 z 0.915。抓取答案板位置0.13?远端范围0.1576。需要指尖底部0.752所以连杆 z 0.91。物体顶部约0.777,答案板在 x 0.14给出z 0.770。所以连杆 0.908-0.915理想。需要估计腕部相机中心相对夹爪。朝向到直线0.5。我们可以计算6边界和桌面的射线。我们已经有了位置。在向下完全夹爪中心在x左位置,y左位置可能答案板中心0.15垂直。手指 Z厚度?接触。需要腕部图像投影末端执行器+[x=0.14 y=0 z=0]看中心。使用脚本。
原文696 字
We have lots budget 260. Need descend ~.045 to .917? Determine tabletop .75 object top .78, bottom .755. Finger tips at .804 currently, need .76 fingertips so link z .915. Grasp pads location .13? far extent .1576. Need fingertip bottom .752 so link z .91. Object top ~.777, pad at local x .14 gives z .770. So link .908-.915 ideal. Need estimate wrist camera center relative gripper. Orientation to straight .5. We can compute rays for 6 boundaries and tabletop. We already positions. At downward full gripper centers at x left position, y left position maybe pads center .15 vertical. fingers local Z thickness? Contact. Need wrist image project eef + [x=.14 y=0 z=0] to see center. Use script.
#130:01.6步 40当前播放
reasoning summary需要在z 0.767抓取,连杆 0.915可能;顶部0.78。桌子0.75。想要手指底部0.754,连杆 0.912。接触答案板x 0.14意味着z 0.772。好x=-0.148 y=-0.152(环中心世界从像素右)。当前尖端0.806 => 下降0.05。先对齐朝向并下降0.02步2。
原文273 字
Need grasp at z .767, link .915 perhaps; top .78. table .75. Want finger bottom .754, link .912. Contact pad x .14 means z .772. Good x=-.148 y=-.152 (loop center world from pixel right). Current tip .806 => descent .05. First align with orientation and descend .02 steps2.
#140:01.7步 42当前播放
reasoning summary需要精确抓取。有z表面0.779?桌子0.75?之前从其他数字估计0.769最大0.779。桌子可能0.75。6厚度0.02。位置环x -0.146 y -0.149?需要三角孔不是表面(孔深度桌子0.75)。更好腕部射线表面图。在观测42夹爪x -0.150和环 => 0.0034偏移 => 期望-0.146。y使用y像素290外底部等。我们可以用多个对应高机位顶部轮廓推导桌面和主体顶部。橙色边界高机位:259 :270。在腕部顶部,120 => 高机位251,248(6的顶部)可能。全范围。让我们用已知z 0.775计算环边缘的腕部坐标。
原文619 字
Need grasp exact. Have z surface .779? table .75? Earlier estimated .769 from other numbers max .779. Table likely .75. 6 thickness .02. Position loop x-.146 y-.149? Need triangulate hole not surfaces (hole depth table .75). Better wrist ray surface map. At obs42 gripper x-.150 and loop x335 => .0034 offset => desired -.146. y use y pixel290 outer bottom etc. We can derive tabletop and body top with multiple correspondence high top contours. Orange bounding high x239:259 y247:270. At wrist top x354,120 => high251,248 (top of 6) maybe. Full range. Let's use known z .775 calculate wrist coordinates for loop edges.
#150:01.7步 42当前播放
reasoning summary之前奇怪代码推断顶部0.778;实际桌子0.75可能物体z 0.77,物体延伸y -0.16底部到-0.12顶部。环中心y -0.150?选择x -0.147 y -0.148?当前尖端在z 0.785大部分高于0.78;降低到0.913给出尖端0.755避开桌子z 0.75。接触中部在0.767实际环y -0.15。q向下精确。目标-0.147,-0.15,0.916。需要2步到0.931然后2步到0.917。
原文363 字
Weird code earlier infer top .778; actual table .75 likely object z .77, object extends y -.16 bottom to -.12 top. Loop center y -.150? choose x -.147 y -.148? current tips at z .785 mostly above .78; lower to .913 gives tip .755 avoiding table z .75. contact mid at .767 actual loop y -.15. q down exact. target -.147,-.15,.916. Need 2 step get .931 then 2 .917.
#160:01.8步 44当前播放
reasoning summary需要闭合高度:末端执行器0.923手指0.7654底部。物体顶部0.778底部0.75可能2厘米,答案板远端范围0.1576。在当前指尖0.7655会夹住上半部0.77。好降低到0.916 -> 0.7584。然后闭合。形状x宽度0.033适合。需要实际中心环x约-0.146。y从孔在0.75约-0.154?模型射线给出孔0.152在0.77因此中心y 0.15。好。
原文352 字
Need close height: eef .923 fingers .7654 bottom. Object top .778 bottom .75 likely 2cm, pads far extent 0.1576. At current finger tip .7655 will pinch upper half 0.77. Good lower to .916 -> .7584. Then close. Shape x width .033 fits. Need actual center loop x ~-.146. y from hole at .75 ~-.154? model ray gave hole .152 at .77 thus center y .15. Good.
#170:01.8步 46当前播放
reasoning summary测量没有下降,可能桌子接触指尖在0.766但实际桌子0.76?桌子可能0.765?需要检查反馈记录额外?
原文130 字
Measured no descent maybe table contact tips at .766 though actual table .76? Table likely .765? Need inspect feedback json extra?
#180:01.8步 46当前播放
reasoning summary我们在处可能有接触,指尖端点 .7651。桌子估计 .74?物体顶部 .778。桌面实际上会不会是 .765?从图像三角测量,黄色 .769 包含顶部 .786?需要重新标定。我们最初估计桌子为 .75,因为没有精确值。桌子可能是 .76 + 厚度 .02,顶部 .78。指尖底部 .765 -> 桌子 .765 接触。在 .923 处实际指尖 .7651,且由于指尖与桌子可能碰撞,无法小幅下移。必须停止并重新规划接触。需要抬高 .006,使端点 .771,抓取侧面 .77-78。我们可以使用 .929 处的抓取。当前最远范围 .1576 正好可能对应桌子 .765。需要避免。已经发生了小的意外接触桌子。原因已确认:较低位置没有跟踪到可能的接触,停止下移。抬高 0.006 然后闭合。指垫在 .775 处会接触侧面吗?会。桌子在 .75?也许整个手指范围 .177?给定最远 .1576。视觉上可能更长?未知。物理跟踪 .9227 接触表明桌子在 .765。让我们用射线比较桌子和指垫实际平面,使用腕部两个视角。需要木材上的像素对应,例如裂缝,精确高/腕部很难。可以获取裁剪图并比较顶部 6 个轮廓。但抬高 3 毫米而不是 6 毫米足够吗?在 .926 指尖 .7684,物体顶部 .78 => 接触 .012。很好。
原文1,208 字
We have possible contact table at z.9227 finger endpoint .7651. Table estimated .74? Object top .778. Could tabletop actually .765? From image tri for yellow .769 includes top .786? Need recalibration. We had initial estimated table .75 from no exact. Table could .76 + thickness .02 top .78. Finger tip bottom .765 -> table .765 contact. At .923 actually tip .7651 and small downward unable due collisions fingertips table likely. Must stop and replan contact. Need raise .006 so endpoint .771, grasp sides .77-78. We can use grasp at .929. Current far extent .1576 exactly could table .765. Need avoid. Already small accidental table. Reason acknowledged lower didn't track possible contact stop downward. Raise 0.006 then close. Does finger pad engage side at .775 yes. Table at .75? Maybe whole finger extent .177? Given farthest .1576. Could visual longer? No known. Physical tracking .9227 contact suggests table at .765. Let's ray table compare pad actual plane using wrist two. Need pixel at wood correspondence e.g crack exact high/wrist hard. Could acquire crop and compare 6 silhouette at top. But enough raise 3mm rather than 6? At .926 finger tip .7684 top object .78 => contact .012. Excellent.
#190:01.9步 48当前播放
本次没有输出思考
#200:02.0步 50当前播放
本次没有输出思考
#210:02.1步 52当前播放
本次没有输出思考
#220:02.2步 54当前播放
reasoning summary现在当前上下文开头很奇怪,之前缺少图像,但我们现在确实看到了。需要确认实际等式初始 6?在高机位左侧指垫被遮挡,可能确实是 6,初始评论已经说了。需要继续,已验证腕部尺寸不变,桌子移动。抬升到 1.0 然后运输到答案板底部。在 p -.147,-.152, .927 处抓取,指尖 .769。物体中心可能,底部 .765,顶部 .79。桌子实际怀疑是 .765。答案板顶部 .772 对比三角测量 .77。需要知道放置目标 .94 也许支撑。让我们通过腕部立体初始已知对应射线计算桌子平面。我们之前有物体顶部 .778 足够,但桌子可能是 .76。在 .922 接触意味着指尖 .765。是的桌子 .765。物体顶部 .795?我们使用错误像素估计的。可能是桌子 .76,侧垫在 .776。需要在抬升后通过三角测量高机位橙色像素约 247 250 顶部对应左腕部来计算数字 6 的世界顶部实际值。最好使用手动关键点中间孔顶部映射到高机位?高机位大部分被遮挡。使用标定平面看阴影不能说明。运输加上足够间隙。
原文1,057 字
Now current context starts weird with missing images earlier but we did see visually now. Need confirm actual equation initial 6? At high at left pad obscured could be 6 indeed initial commentary already. Need proceed held verified wrist size unchanged table moving. Lift to1.0 then transport pad x0 y0.0 bottom. Grasp at p -.147,-.152, .927 tip .769. Object center maybe y-.14 bottom .765 top .79. Table actual .765 suspected. Pad top .772 vs tri .77. Need know placement target .94 maybe support. Let's calculate table plane via wrist stereo initial known correspondence ray. We earlier had object top .778 enough but table may .76. Contact at .922 means tip .765. yes table .765. object top .795? We estimated using wrong pix. Could be table .76, side pads at .776. Need after lift compute digit 6 world top actual via triangulate high orange pixel at approx 247 250 top corresponding left wrist. Better use manual keypoints middle hole top maps high? Most occluded high. Use calibration plane seeing shadow doesn't tell. Transport plus enough clearance.
#230:02.4步 59当前播放
reasoning summary需要目标答案板 z .77。抓取物体平面相对 p:质心 x 可能 -.147;当前抓取 y -.153 较低环路。期望抓取 [~-.002,-.012]。方向相同。需要抬升足够,物体底部 .838 高于瓷砖 .783 达 .055,是的末端执行器 1.007。对角线运输 .09 增量测量。避免手臂过度伸展(间隙良好)。
原文336 字
Need goal pad x0 y0 z .77. Grasp object planar relative p: center mass x maybe -.147 y-.14; current grip y -.153 lower loop. Desired grip [~-.002,-.012]. Orientation same. Need lift enough object bottom .838 above tiles .783 by .055 yes eef1.007. Transit diagonal .09 increments measured. Avoid arm over multiplication (fine clearance).
#240:02.6步 64当前播放
本次没有输出思考
#250:02.8步 69当前播放
reasoning summary我们有 231 充足。需要精度答案板和偏移。需要三角测量答案板 z .75?桌子我们估计 .74 但碰撞表面 .765 表明桌子 .765。初始答案板顶部可能 .765。从图像看:桌子平面可以推断答案板中心 320,204 高机位和腕部左侧,当初始答案板未完全可见?在 x?初始腕部答案板6。右答案板 6。三角测量右答案板顶部中心高机位 (430,205) 右 (265,298) 得出。需要没有未见的假设。我们在当前对话中有实际图像,目标答案板 (320,202)。可以获取初始图像检查坐标。
原文576 字
We have 231 ample. Need accuracy pad and offset. Need triangulate pad z .75? Table we estimated .74 but collision surface .765 suggests table .765. Initial pad top maybe .765. Let's from images: table plane can deduce pads center 320,204 high and wrist left when initial pad not fully visible? At x? Initial wrist pad6 x477. Right pad 6 x265. Triangulate exact pixel for right pad top center high (430,205) right (265,298) yields. Need no unseen assumptions. We have actual images in current conversation target pad (320,202). Can get initial image to inspect for coordinates.
#260:02.8步 69当前播放
本次没有输出思考
#270:02.8步 69当前播放
reasoning summary需要降低高度以便到达。向下夹爪末端执行器接近伸展极限。在 -.092,-.1,1.003 已经伸展。需要目标 -.055,-.06,.975 可能。保持物体底部 .832 仍 > .77 .06。好。
原文207 字
Need lower height for reach. Downward gripper EEF x0 y0 z1 near reach too stretched. At -.092,-.1,1.003 already reaching. Need target -.055,-.06,.975 likely. Holding object bottom .832 still > .77 .06. Good.
#280:03.0步 74当前播放
本次没有输出思考
#290:03.0步 74当前播放
reasoning summary需要到达答案板 y~0,左臂接近方向向下。机器人左基座 [-.3,-.54?]。手臂因高度限制到达。需要降低或向前倾斜,减少第六连杆的 y 伸展,同时指尖更向前。可以将俯仰从 90 旋转到例如 70,使手指 y+.05,第六连杆 y=-.05,答案板。 需要 .3 横向 + .5 向前,在高 z 可能不可达。需要朝向中心倾斜以将指尖 x 移动 +.04。实际左臂可达集可能?预检查容差较低。我们可以选择第六连杆位置 [-.03,-.04,.963],方向朝向 [x=.2,y=.35,z=-.915],绕环境 y 负方向旋转倾斜?向下方向 d=[.2,.35,-.915]。指尖 x+.029 y+.051。倾斜 23°,最终平放时必须重新定向。替代右臂接近可能同样到达。需要找到支持的精确向下目标 [0,-.006,.934]。最大水平伸展 =平方根(.3²+.594²) .66 可能手臂 .65。观察关节看看。
原文934 字
Need reach pad x0 y~0 with left approach orientation down. Robot left base [-.3,-.54?]. Arm limit reach due high. Need lower or tilt forward reducing link6 reach y while finger tips further forward. Can rotate pitch from 90 to e.g70 giving fingers y+.05, link6 y=-.05 pad y0. x0 requires .3 lateral + .5 forward maybe unreachable at high z. Need orientation tilt towards center to shift tip x+.04 too. Actual reachable set left maybe x0 y-.01 z.94? Precheck tolerance lower. We can choose link6 pos [-.03,-.04,.963] with direction toward [x=.2,y=.35,z=-.915], rotation tilt around environment y negative? Down direction d=[.2,.35,-.915]. Tip x+.029 y+.051. Number tilted by23°, must reorient for flat placement eventually lowered. Alternative right arm approach may reach too similar x0. Need find supported possible target exact down at [0,-.006,.934]. Max horizontal reach =sqrt(.3²+.594²) .66 maybe arm .65. Observation joints see.
#300:03.0步 74当前播放
reasoning summary现在垂直方向存在运动学可达性问题。需要减小俯仰角、降低垂直程度,以让指尖向前沿 y 方向(并可能沿 x 方向)伸展。可以在同一末端执行器处将俯仰角从向下角 1.57 转回 1.27;物体会倾斜 0.3弧度,扫掠范围安全 5 厘米吗?物体 6 的 4 厘米长度可忽略。需要将第六连杆目标置于答案板上方并带偏移。要到达答案板,需要连杆 [-.015,-.05] 吗?手指斜向倾斜,包含 x 分量,偏航方向也许需要调整。当前左侧最大可达对角距离 0.52。第六连杆是最远的。需要向前倾斜约 0.35,使指尖伸展 +.05 并保持高度。夹爪四元数 [余弦(.6)/平方根2,-正弦(.6)/平方根2,正弦,]=[.5836,-.3993,.3993,.5836]。第六连杆在[-.04,-.075,.973],指尖。目标也许可以通过将偏航从 90 度旋转到 65 度实现,沿 x 向前 .15*.34*.42=.022。可以旋转使局部 X 轴朝 +x +y 向下倾斜。四元数得到 [ , - , , ] =[.6961,-.3034,.4762,.4435]。从当前四元数完全向下旋转到这个姿态是 .572 吗?大于 .5,因为偏航 0.436 加俯仰 .371 ->.57。可以分两步做。但要保持数字在世界坐标系中竖直的偏航吗?旋转倾斜后的四元数并改变偏航也会改变数字的偏航,放置方向会旋转 25 度,任务也许允许?更好的做法是滚转腕部方向,使局部 Y 轴保持 -x,并纯粹沿 y 倾斜,这样在连杆 z .97 时答案板可达?阻尼最小二乘也许在连杆 y -.07 对比 -.014 时肩部更舒适。需要以到达。测试安全的小幅旋转和移动。当前物体底部 .815,而相邻操作物顶部 .778。间隙 3.7 厘米。倾斜到 1.27 会增加指尖高度(+.007),形状顶部 6 会向上移动吗?可以。目标末端执行器 -.032,-.065,.977 在 .05 以内;。然后数字质心 y 从夹爪+.055 中心偏移 .01 =>.0。所以我们只需要稍微调整。那就做俯仰
原文1,719 字
Now kinematic reach issue vertical. Need rotate pitch less vertical to extend tip forward y (and potentially x). Can pitch back from down angle 1.57 to1.27 at same eef; object tilts 0.3 rad and swept safe 5cm? Object 6 4cm length negligible. Link6 target over pad offset needed. Need reach to pad x0 y0 needs link [-.015,-.05]? Fingers lean diagonal including x component oriented yaw perhaps adjust. Current left max reach diagonal distance0.52. Link6 y-.07 is farthest. Need tilt forward about0.35 to tip extends +.05 and preserve elevation. Gripper q yaw90 pitch1.2 [cos(.6)/sqrt2,-sin(.6)/sqrt2,sin,samecos]=[.5836,-.3993,.3993,.5836]. Link6 at[-.04,-.075,.973] tip y-.02. Need target x0 perhaps if yaw rotate from90 to65deg, forward along x .15*.34*.42=.022. Can rotate so localX angled+x +y downward. q Rz65 Ry1.2 gives [c32.5 c.6, -s32.5 s.6,c32.5 s.6,s32.5 c.6] =[.6961,-.3034,.4762,.4435]. Rotation from qcur full down to this is .572? >.5 due yaw0.436 plus pitch.371 ->.57. Can do two. But preserve number upright world yaw? Rotating tilted q with yaw changes digit yaw too, placement orientation rotates 25deg maybe task may allow? Better roll wrist orientation so localY remains -x and tilt purely y then pad x0 achievable at link x0 y-.07 z .97? DLS maybe q shoulder comfortable when link y -.07 vs-.014. Need reach x0 y-.07 z.968 with yaw90 pitch1.2. Test safe small rotational and movement. Current object bottom .815 while adjacent op top.778. 3.7cm clearance. Tilt to1.27 increases finger tip height (+.007), shape top6 moves upward? Fine. Target eef -.032,-.065,.977 within .05; pitch1.22 rot.35. Then number centroid y from gripper+.055 centeroffset .01 =>.0. So all we need x0 slight. Let's do pitch
#310:03.0步 76当前播放
reasoning summary我们已经用了 300 步中的 76 步,足够了。需要处理目标可达性。我们大多一直在根据图像盲目编写工具,还没有推理笔记。需要精确的工作空间可达约束。在 , 垂直姿态下,也许由于肘关节最大 2.1 导致臂长不可用?可以以倾斜 20 度到达。最终需要以平放方向放置。可以降低并在最终垂直,可能可达,因为最大半径增加?在 ,, 径向 [.3,.35,.3] 长度。需要根据记录的关节状态几何计算,没有内部信息。机器人基座在 (-.3,-.54,.?);腕部原位(-.3,-.35,.92)。我们测试过目标-.008,-.014,.973 垂直不可行,但更低 .934 也许可行?可以降到 .945,同时仍在答案板上方,然后最终对齐。倾斜接近可以将手指从移到答案板;释放时通过倾斜放平?需要稳定地放在答案板数字顶部,理想是平的。数字是小的扁平塑料件,轻微倾斜也会稳定。更好的垂直目标 (-.001,-.009,.932) 也许可行?需要在净空高度 .96 尝试最终目标?当前目标是 -.045,-.072,.981,方向相对垂直倾斜 .106弧度(给定四元数)。我们可以步进 ,, 并垂直预检查,也许可行。失败不消耗控制。我们也许应该希望接近腕部 y=-.012,因为夹爪偏移相对于数字中心为 +.012。需要精确的答案板中心 y?初始高答案板在320,203 中心几何 =>,?之前答案板6中心可能是顶部。相机_ 全图空白答案板中心320,202.8;圆盘半径19,表面顶部也许?我们估计桌子 (!)松散6顶部=.778,指尖停在 .923-.1576=.765。所以桌子很可能是桌子 .76 + 手指接触?原生桌子可能是。指尖几何范围实际 .1576,但下侧由于平行垫凸出?我们最初三数字5,松散6 .778,对比可能是由于像素错误导致的顶部差异。需要用配对从图像准确计算。需要通过看图工具检查初始图像实际,以了解答案板桌子。
原文1,908 字
We have used 76 of 300 enough. Need handle reach target. We have mostly been writing tools blind from image no reasoning notes yet. Need exact workspace reached constraints. At x0,y0 vertical pose maybe arm length unavailable due elbow joint max 2.1? Can reach tilted 20deg. Need eventually place orientation flat. Could lower and vertical at final likely reachable because max radius increases? At x0,y0,z.93 radial [.3,.35,.3] length. Need calc from recorded joint states geometry no internals. Robot base at (-.3,-.54,.?); wrist home(-.3,-.35,.92). We tested target-.008,-.014,.973 vertical infeasible but lower .934 maybe feasible? Could lower to .945 while still over pad y-.05 then final align. Tilt approach can shift fingers to pad from y-.06; flatten on release via tilt? Need stable top of pad number ideally flat. Number small flat plastic settles if tilted minor. Better vertical target (-.001,-.009,.932) maybe feasible? Need try final target at clear height .96? Target currently -.045,-.072,.981, orientation .106 rad tilt from vertical (given q). We can step x-.005,y-.024,z.955 and vertical precheck maybe works. Failure no controls spent. We should maybe want approach wrist y=-.012 as grip offset +.012 relative number center. Need exact pad center y? initial high pad at320,203 center geometric z.755 => y.012, z.755? Earlier pad6 center could be y0 top. Cam_high full image blank pad center320,202.8; disk radius19x14, surface top maybe z.755? we estimated tablez.765 (!) Top of loose6=.778, fingertips stopat .923-.1576=.765. So table z.765 likely table .76 + finger contact? Native tables likely z.75. Fingertips geometry extent actual .1576 but lower sides due parallel pads bulge? We initially tri numbers5 z.769, loose6 .778 vs can be top difference due wrong pixel. Need compute accurately from image using pair. Need inspect initial images actual via view_image to know pad table.
#320:03.0步 76当前播放
reasoning summary需要小心,不要无根据假设 6 是。当前倾斜后姿态物体相对稳定。目标放置中心答案板 (0,0,.765)。需要用倾斜接近到达左臂。可以使用小倾角然后降低,然后在低放置接近关节可行性时放平。需要估计可达工作空间第六连杆 ,,z .96 q (约20倾斜)可行。物体中心在前方 .05,所以 y -.06 + .05 + .01=0。第六连杆目标 z .96。需要考虑在该高度指尖底部 .815 对比答案板 .765 间隙 .05。然后可以降到 .92?垂直目标 ,,z .932 很可能可行?之前垂直高目标失败。较低目标在 .93 处也许通过;几何可达?我们可以通过臂几何求解,不依赖内部信息。我们可以简单地尝试更近的倾斜目标。原生预检查无成本,所以可以。
原文821 字
Need careful no unwarrant assumption 6 yes. Current pose after tilt object relative stable. Goal placement center pad (0,0,.765). Need reach left arm with tilt approach. Can use small inclination then lower, then flatten at low placement near joint feasibility. Need estimate reach workspace link6 x0,y-.06,z .96 q pitch1.22 (~20 tilt) can feasible. Object center ahead .05 so y -.06 + .05 + .01=0. Link6 target x-.001 y-.061 z .96. Need consider fingertip bottom .815 at that height vs pad .765 gap .05. Can then lower to .92? Vertical goal x0,y-.009,z .932 likely feasible? Earlier vertical high goal failure (x-.008 y-.014 z.973). Less high target may pass with q1.57 at .93; geometric reach? We can solve via arm geometry not internals. We can simply attempt target nearer with tilt. Native prechecks no cost so fine.
#330:03.2步 81当前播放
reasoning summary现在在答案板上方接近中心。需要在降低时放平,或者可以倾斜放置并缓慢放平。需要根据接触计算物体相对姿态。末端执行器初始抓取 (-.147,-.152,.927),物体中心顶部 (-.148,-.14,.78),底部 .76。相对 R 向下。局部坐标 : [0.147,0.001,0.012],底部中心 [0.167,0.001,.012]。当前 R 向 y 倾斜 .35,世界局部 x [0,.343,-.94],局部 z [0,.94,.343];中心底部现在 p+[0,.0573+.0113,-.157+.004]=[-.004,.0076,.815]。所以底部 .815。答案板 .763 顶部。间隙 .052。目标末端执行器垂直高度 .930,物体底部也许 .763。直接在 (0,-.012,.93) 垂直也许可达,之前高 .973 失败,更低可能仍然?逆运动学可达性可以通过倾斜 .35 辅助。需要测试垂直目标 .937 向前,而当前差 .058,旋转 .35 允许,通过?之前从 .98 到 .973 在远 x 0 处不可达的预检查;新姿态 .933 也许在 q 向下时可达?我们可以尝试 q 向下目标 [0,-.013,.946],可能失败 .015。相反更少倾斜 .17 和末端执行器 ,z .945 然后最终向下 p .934。需要数值局部预检查作为保护,不要慌乱。方向腕部连杆目标测量提供。计算 =1.4(倾斜 .1708)的四元数 .540825,-.455531 等。中间末端执行器 [0,-.037,.948]。物体底部约 .785。放置倾斜 .17 高点长度高度 .01。最终需要放平。
原文1,347 字
Now above pad near center. Need flatten while lower or can tilt place slowly flatten. Need calculate object pose relative based contact. Eef initial grasp (-.147,-.152,.927), object center top (-.148,-.14,.78), bottom .76. relative with R down. local coordinates R.T delta: [0.147,0.001,0.012], bottom center [0.167,0.001,.012]. current R tilted alpha .35 toward y, world local x [0,.343,-.94], local z [0,.94,.343]; center bottom now p+[0,.0573+.0113,-.157+.004]=[-.004,.0076,.815]. So bottom .815. Pad .763 top. clearance .052. Goal eef vertical height .930 maybe object bottom .763. direct vertical at (0,-.012,.93) maybe reach failed high .973, lower likely still? IK reach can be aided with tilt .35. Need test vertical target .937 forward y-.013 while current difference .058, rotation .35 allowable, passes? precheck from earlier at .98 to .973 unreachable at far x 0; new pose .933 maybe reachable with q down? we can attempt q down with target [0,-.013,.946], might fail .015. Instead fewer tilt .17 and eef y-.034,z .945 then final down p .934. Need numerical local precheck use as guard not flurry. orientation wrist link targets measured provide. Compute q for theta=1.4 (tilt .1708) .540825,-.455531 etc. intermediate eef [0,-.037,.948]. object bottom approx .785. place tilt .17 high point length height .01. need flatten ultimately.
#340:03.3步 83当前播放
本次没有输出思考
#350:03.4步 85当前播放
reasoning summary我们需要管理可达范围。左侧 y 为 -0.046,接近边界。能否以水平姿态瞄准 [0,-.010,.933]?也许可行?先做预检查测试。答案板中心 y 为 .0,字形几何中心相对抓取位置向前约 .01。抓取 y 为 -.152,原始中心字形为 -.14。需要腕部 y 为 -.01。z 方向物体底部之前位于 .765,连杆 .927,差值 .162。答案板顶部也许是 .763?桌面 .765?早前底部停止时连杆 .923 意味着桌面 .765。物体顶部 .782?答案板顶部 .768?需要正确的高度视觉三角测量。答案板顶部由初始中心与估计平面 .765 相交得到 y .0057。实际上初始桌面也许是 .75?在 .923 处停滞,手指延伸 .1576 得到 .7651,意味着手指与桌面 z .765 碰撞?桌面可能是 z .75,但完整指尖延伸几何记录恰好为 .1576。也许是物体下表面?不必过度思考放置连杆 .934 比抓取高约 7 毫米,因为答案板。需要调平移动到 .934。
原文871 字
We need manage reach. Left y -0.046 close bound. Can aim flat at [0,-.010,.933] maybe feasible? Precheck test. Pad center y .0 and glyph geometric center forward ~.01 relative grasp. Grasp y -.152 original center glyph -.14. Need wrist y -.01. z object bottom before at .765, link .927 delta .162. Pad top maybe .763? table .765? Earlier bottom stop link .923 implies table .765. Object top .782? pad top .768? Need correct height visual triangulation. Pad top from initial center uv320203 intersects plane estimated .765 yields y .0057. Actually initial table perhaps .75? Stalling at .923 finger extent .1576 yields .7651 implies fingers collision with table z .765? Could table z .75 but full finger tip extent geometry noted .1576 exactly. Maybe object lower surfaces? Need not overthink place link .934 about 7mm higher grasp because pad. Need leveling move to .934.
#360:03.4步 85当前播放
reasoning summary我们需要更多推理。逆运动学肘部接近极限?关节2 最大值也许是 2.4?在位姿、高度 .936 时,由于肩部原因无法垂直?能否通过偏航 -45 旋转到达?那会改变腕部肘部求解。需要可行的倾斜放置,可在 10 度时轻放并稳定到答案板上。期望支撑在顶部,底部 .759?桌面是 .765,顶部 .78,物体 0.02。答案板 .772。夹爪尖端在 .949 且倾斜 .21 时 z 约 .79;物体底部 .796?需要降低到 .93 并倾斜 10 度;然后物体低边缘 .772 在缓坡上稳定。用户说释放前稳定。能否在支撑期间通过姿态调平使其稳定直到水平?由于偏航,这里垂直可达不够?可以绕 z 轴稍微旋转世界,使腕部弯曲相关关节5 起作用,但抓取会在平面内旋转数字。预检查数值;失败则不运动。可以交替姿态释放奇异,夹爪关节5 接近0,肩部关节2+3 很大。要以垂直姿态到达更远,也许关节2 超过极限,位置 x 0 意味着远伸展 .3。倾斜给出 +y 延伸,但夹爪腕部在 -.04。也可以在 x 方向倾斜,使腕部,朝向答案板 .0。这保持倾斜轴数量但可以轻柔下降。释放时不必完全水平,如果倾斜很小。10 度仰角产生 5 毫米边缘高度。低高度释放由前边缘充分支撑 -> 稳定平放。不会显著倾倒。可以保持姿态 .54,-.455 ... .17 约10度,并降低到 .931 和。物体中心约 y -.002。从预检查看已经可行。让我们用图像计算抓取的中心偏移变换。需要更精确的支撑桌面 z,用三角测量答案板腕部初始和高机位。需要检查完整初始腕部图像,看答案板空白是否在侧面可见。
原文1,712 字
We need more reasoning. IK elbow near limit? joint2 maybe 2.4 max? At pose x0 y-.014, high .936 impossible vertical due shoulder? Could reach by rotate yaw -45? That changes wrist elbow solving. Need feasible tilted placement can release gently at 10deg and settled pad. Desired support at z.777 top, bottom .759? Table is .765 and top .78, object 0.02. Pad .772. Gripper tip z~.79 at .949 with .21 tilt; bottom object .796? Need lower to .93 and orientation tilt 10deg; then object low edge .772 stable at gentle slope. User says stable before release. Can settle until horizontal by orientation leveling during support? Reach not enough vertical here due yaw? Could rotate world about z slight allowing wrist bend relevant joint5 but grasp rotates digit in-plane. Precheck numeric; no motion if fail. Could alternate orientation freeing singularity gripper joint5 near0, shoulder joints2+3 large. To reach farther with vertical orientation maybe joint2 past limit and position x 0 means far extension .3. Tilt gives +y extension but gripper wrist at -.04. Could use tilt in x too so wrist x-.03, toward pad .0. This maintains number tilt axes but can lower gently. Need not perfectly horizontal when release if small tilt. 10deg elevation yields 5mm edge height. Low height release supported sufficiently by front edge -> settle flat. Not tipping significant. Could keep orientation .54,-.455 ... theta .17 ~10deg and lower .931 and y-.035. center object ~y -.002. Feasible at that from precheck already. Let's compute transforms center offset from grasp using image. Need support table z more precise with triang pad wrist initial and high. Need full initial wrist images inspect if pad blank visible offside.
#370:03.4步 85当前播放
reasoning summary需要在目标处推理:在处水平不可达。也许关节最大值?能否调整翻滚以改变冗余肘部?6自由度不是冗余的;向下姿态偏航 90 产生固定肘部平面和腕部符号,可以偏航数字约20°轻微影响原生姿态,也许容差未知。可以以 0.2 弧度倾斜放置,让其最小稳定。答案板 z=.764?需要计算已知高机位答案板中心:初始空圆完整可见。答案板顶部 z 也许是 .752?早前在接触,尖端 .765 表明桌面约 .765。从三角测量 5 顶部 .769,但人工像素错误。桌面也许是 .75?需要精确标定三角测量答案板边界,在之后倾斜腕部可见。相机固定初始 K 一致性我们有图像。当前 85 腕部空答案板轮廓椭圆。可以从圆锥曲线和单相机估计世界答案板半径和平面高度;平面水平初始高机位圆像素左303、右335、上190、下218、中心320、204。假设半径 .04。求解圆心 (0,0,) 的投影。投影 z=.76:相机分母 .6796 垂直 .2989-.38=-.0811 ->。桌面 z=.75 ->。观察到的上190、下216、中心203 表明中心 z=.765?实际上代码投影采样圆并比较图像。让我们计算圆心 z .765?已知答案板也许 y=0,桌面 z=.74?需要使用三角测量答案板外边界,从 85 高机位和腕部无歧义。我们可以使用投影图像射线与对应点相交:空答案板后边缘高机位(320,190),腕部(341,24) 观测85。两者在同一点中心后部 y 为正。高机位后部在。需要查看放大的裁剪 85 高机位和腕部。
原文1,560 字
Need reason within target flat unreachable at x0. Maybe joints maximum J2? Can orient roll to change redundant elbow? 6dof not redundant; downward orientation yaw 90 yields fixed elbow plane and wrist sign, can yaw number ~20° slight effect native orientation maybe tolerances unknown. Could place with tilt 0.2 rad and let settle minimal. Pad z=.764? Need compute known high pad center: initial empty circle visible entire. Pad top z maybe .752? Earlier contact at z.923 tips .765 indicates table ~.765. From tri 5 top .769 but human pixel wrong. Table maybe .75? Need precise calibrate triangulate pad boundaries visible at later tilted wrist. Cam fixed initial K consistency we have images. Current 85 wrist empty pad outline elliptic. Can estimate world pad radius and plane height from conic and single camera; with plane horizontal initial high circle pixels left303,right335,top190,bottom218 center320,204. Hypothesize radius .04. Solve projection of circle center (0,0,ztop). Project z=.76: cam denom .6796 vertical .2989-.38=-.0811 ->y205.6. Table z=.75 ->y208.45. Observed top190,bottom216 center203 suggests center z=.765? Actually code project sample circle and compare image. Let's calculate circle center z .765 y0? Known pads maybe y=0, table z .74? Need use triangulation pad outer boundary no ambiguity from 85 high and wrist. We can use project images ray intersect correspondences empty pad back edge high(320,190), wrist(341,24) obs85. Both on same point center back y positive. High back at y191. Need view enlarged crop 85 high and wrist.
#380:03.4步 85当前播放
reasoning summary我们有 200 步,充足,需要正确到达。放置可以倾斜 12 度,允许下落后的稳定性轻微。需要估计答案板表面 .76;物体底部当前 .949 - .149?约 .804?让我们在抓取期间通过腕部局部推断 6 的几何形状。当前原始桌面 z 实际上为 .765,因为手指碰撞 .923 - .1576 = .7654。数字顶部 .78,底部 .765。所以桌面 .765,答案板顶部 .77。抓取时连杆在 .927,尖端 .7694;底部 .765;夹持在 .778。现在提升到 .949,差值为 .022,但倾斜会抬高接触?当前 q .549 -.446 => 俯仰 1.36,手指 (.000,.207,-.978)。数字接触在局部 x 的 -.15 处;底部 .797?公式物体底部 .765 + .022 + .003?.79。所以高于答案板 20 毫米。需要降低 z 到 .929(假设保持倾斜)以使前边缘或后边缘接触 .773。如果倾斜 12°,前侧(-y)物体底部更低?由 q 关系得到的 R 为俯视加绕世界 x 轴向后倾斜角度 +?数字顶部(+y)在 z 方向向上旋转:+y R?R 映射物体当前朝向相对于初始世界,其中 y 变为余弦 y + 正弦 z。因此数字顶部更高,环更靠近底部 y 的下边缘。在中心抓取时较低的环保持 y?需要答案板居中,但当前 6 的底部图像由于透视覆盖超出答案板底部;世界坐标中工件中心大约 x -.004,y -.046+.15*.207+.012*.978 = -.003。很好,答案板中心。需要保持朝向 .21弧度,降低到 .929。稳定释放后平放,在 40 毫米宽度上 4 毫米倾斜会带来 8 毫米差异。轻轻接触较低端支撑然后释放。可以不再做调平预检查。选择相同朝向 .549,但目标略微调平 .5408,中心位置 -.001 -.035 z .93。这样可达性比垂直更小。之前预检查 .948 在 .17 朝向下有效。降低后很容易到达,很可能。需要 x 选择 .002?原始等式答案板。抓取时工件中心,现在 -.005 意味着中心 -.005。可以。接触,物体延伸上部 +.025。中心 -.002。答案板半径 .04。如果 x 误差 <5 毫米则完全在范围内。执行位姿 q .5408。
原文1,944 字
We have 200 steps ample need correct reach. Placement can tilt 12 degrees allowed stability after drop mild. Need pad surface estimate .76; object bottom current .949 - .149? ~.804? Let's infer 6 geometry via wrist local during grasp. Current original table z actually .765 due finger collision .923- .1576 = .7654. Numbers top .78 bottom .765. So table .765, pad top .77. Link at grasp .927 tips .7694; bottom .765; pinched at .778. Lift now .949 difference .022 but tilt raises contact? Current q .549 -.446 =&gt; pitch 1.36, finger R_x (.000,.207,-.978). Number contact at -.15 local x; bottom .797? Formula object bottom .765 + .022 +.003? .79. So 20mm above pad. Need lower z .929 (assuming tilt maintained) to bring front or rear edge into contact .773. If tilt 12°, front (-y) object bottom lower? R from q relation q top-down + tilt backward in x world angle +theta? Number top (+y) rotates up z: +y R? R mapping object orientation current vs initial world R_x(tilt) where y becomes cos y + sin z. Thus top of number higher, loop closer bottom y lower edge. At center grasp lower loop held y? Need pad centered but present 6 bottom image covers beyond pad bottom due perspective; world piece center approx x -.004, y -.046+.15*.207+.012*.978 = -.003. Good pad center y0. Need maintain orientation .21 rad, lower to .929. Stable release flat settles after 4mm tilt across width 40mm gives 8mm difference. Gently contact lower end support then release. Can just no more leveling precheck. Choose orientation same .549 but aim slight level .5408 and center pos -.001 -.035 z .93. That has reach less than vertical. Precheck previous .948 valid .17 orientation. Lowering reaches easily likely. Need x choose .002? Original equation pad x0. At grasp piece center x-.147, now-.005 means center-.005. Fine. Contact y-.015, object ext upper+.025. Center-.002. Pad radius .04. Fully within if x error&lt;5mm. Do pose x-.001 y-.034 z.935 q .5408.
#390:03.5步 87当前播放
reasoning summary我们有 213 步,充足。需要稳定放置,轻微倾斜可以在这个 z 释放吗?指尖 .779,物体底部约 .774。答案板表面可能 .76?估计初始桌面 .75?我们看到停滞时尖端 .765:桌面 .765 也许是的。需要仔细标定平面。初始三角 5 顶部 .769?数字顶部 .777;桌面应该是 .74?令人困惑,初始像素点不准确。可以用腕部/高机位精确对应重建已知图像顶部基准。答案板中心在空白初始高机位 320,203,使用平面几何得到 z。需要桌面 z 也许 .74?手指完全张开可能包含低于 .1576 的碰撞几何?明确最远 .1576。停滞在 .923 意味着如果接触则桌面 .765;物体 .777 意味着厚度 .012。答案板 .765 对比桌面 .76?更准确地三角测量表面地标小片区域,例如答案板边界。我们有原始腕部在 640。需要裁剪高机位/腕部以找到关键点。我们可以三角测量相同物体符号字母角点(桌面 z 无关)。对于答案板边界最近的低前侧,高机位 (248,216)?腕部 (477,326)?
原文1,018 字
We have 213 steps plenty. Need stable place slight tilt could release at this z? Finger tips .779, object bottom about .774. Pad surface likely .76? Estimate initial table .75? We saw stall tips .765: tabletop .765 maybe yes. Need calibrate plane carefully. Initial tri 5 top .769? Number top .777; table should .74? Confusing initial pixel points inaccurate. Can reconstruct known image top base. Use wrist/high point exact correspondences. Pad center on blank initial high 320,203, z using plane geometric. Need table z maybe .74? Finger fully open may include lower collision geometries >.1576? explicitly farthest .1576. Stall at .923 means table .765 if contact; objects .777 means thickness .012. Pad .765 vs table .76? More accurate triangulate surface landmarks small patches e.g pad boundary. We have original wrist at 640. Need crop high/wrist to find key points. We can triangulate equal object symbol letter corners (table z irrelevant). For pad boundary nearest low front, high (248,216)? Wrist (477,326)?
#400:03.5步 87当前播放
reasoning summary需要定位答案板顶部可能 .751,数字底部初始 .751,夹爪指尖 .769 意味着底部 .751,因为圆角几何末端?桌面 .74?我们推测指尖桌面 .765,停止下降 .923(尖端 .765)。但初始三角数字顶部 .778 意味着如果桌面 .74 则高度 .038。答案板顶部 .75。我们在初始末端执行器 .927 时底部为 .927 -.177=.750,新的 .934 底部 .757 + 倾斜下边缘?倾斜 + 角度:底部环前侧(-y)抬起还是降低?绕 -x 旋转,y -> -z,后顶部 +y 变为向下。所以顶部钩子降低 .005。新的 .934 底部 .758 + 取决于局部中心,最顶部 y+.03 -> 向下 .005 => 底部 .753。答案板 .752,几乎接触。很好,释放可能没问题,如果几乎接触。但需要安全稳定不倾覆,轻微倾斜和圆角可以稳定。需要决定再降低 .004 到 .930 然后释放,也许支撑。在 .934 观察到跟踪目标误差 .000。当前 6 的底部投影在答案板前侧 y?两者对齐足够。我们可以从标定的腕部形状和平面拟合使用抓取朝向准确计算几何,假设数字顶部初始 .779 且末端执行器 .927 => 局部接触 x=.148。到底部可能 .75?形状厚度 .03。在 .934 倾斜 .17 时,顶部现在 .789,底部 .76。想要末端执行器 .927?目标 .928 允许 .006。当前手指 x=.157 z=.7786;答案板 .751,所以手指间隙 .028。因此直到 .907 才与桌面干涉?但初始下降被阻挡,也许手指范围 .17?机器人夹爪局部 x 最大为 .1576,桌面 .74 -> 在 .916 时尖端 .758,无接触。为什么被阻挡?手指垫可能弯曲?可能是数值动力学导致相邻物体?宽度张开,闭合方向 x 意味着左垫 =-.194,右垫 -.1,范围内无物体。然而末端执行器在两个动作中都停在 .923,也许逆运动学目标未跟踪,因为碰撞腕部网格?观测没有碰撞报告;开发者说可能碰撞但谨慎起见已撤回。我们可以在 .927 放置,此时原始物体底部在桌面,答案板顶部 .008,所以可能比预期低 .008,但倾斜正确。需要以 .003 增量轻柔操作,直到形状相对夹爪变化接触。步数足够。
原文2,025 字
Need location pad top likely .751, number bottom initial .751 and gripper fingertip .769 means bottom .751 due rounded geometry ends? Table .74? We speculated fingertip table .765 stopped descend .923 (tip .765). But initial tri number top .778 means height .038 if table .74. Pad top .75. We have bottom at initial eef .927 -.177=.750, new .934 bottom .757 + tilt lower edge? Tilting + angle: bottom loop front (-y) lifts or lowers? Rotation around -x, y -> -z, back top +y becomes down. So top hook lower .005. New .934 bottom .758 + depends local center, topmost y+.03 -> down .005 => bottom .753. Pad .752, almost contact. Good release may fine if nearly. But need safe stable no tipping, with slight tilt and rounding can settle. Need decide lower .004 .930 then release, perhaps support. At .934 observed tracked target error .000. Current 6 bottom projection at pad front y? Both align enough. We can compute geometry accurately from calibrated wrist shape and plane fit using grasp orientation, assuming number top at initial .779 and EEF .927 => local contact x=.148. To bottom likely .75? Shape thickness .03. At .934 with tilt .17, top now .789, bottom .76. Want eef .927? Target .928 allowing .006. Current fingers x=.157 z=.7786; pad .751 so fingers gap .028. So no table interference until .907? But initial descend blocked maybe fingers extent .17? Robot gripper local x max is .1576 and table .74 -> at .916 tip .758, no contact. Why blocked? Finger pads maybe flex? Could be numeric dynamics caused object adjacent? Width open closing direction x means left pad x-.147-.047=-.194, right -.1, no objects within. Yet eef stopped .923 both action maybe IK target untracked because collision wrist meshes? Observation no collision report; developer says maybe collision but prudent retract done. We can place at .927 which original object bottom at table, pad top .008 so may be lower than intended by .008 but tilt correct. Need gentle .003 increments until shape relative gripper changes contact. Enough steps.
#410:03.6步 89当前播放
reasoning summary我们已经消耗了约——也许之前的分析因为某些奇怪的原因被省略了?现在需要实际仔细地保证物理稳定。在连杆 .93 处,末端 .7747。物体底部估计抓取初始在末端 .7694,实际桌面是 .75 还是 .76?在尝试 .916 时没有跟踪到,可能末端在 .765 处接触桌面?实际桌面是 .76?三角垫边缘给出 .747?需要更好的标定三角测量 6 号物体顶部 .7779。桌面可能是 .75。手指范围 .1576 加上碰撞余量 .?在 .923 处末端 .765。为什么在 .923 处接触?可能是机器人关节限位?看肩关节 1.885 等不是限位。宽手指末端可能延伸 .167?描述中最远近似 .1576 可能是碰撞厚度。无论如何物体底部 .757?在 .930 处旋转 0.17,物体法线倾斜。抓取局部 x 约 .15,底部在 .93-.156*.986-.015*.169 = .7736。垫表面 .755?仍然高出 18 毫米。但图像中数字相对垫在最新位置移动了?大部分相同。需要实际三角测量被持物体像素高中心(320,201?),腕部顶部。使用标定射线相交顶部可见。需要高裁剪准确。
原文1,043 字
We have consumed ~ maybe earlier analysis omitted due weird? Now need actual careful physical stable. At link .93, tip .7747. Object bottom estimate grasp initial at z.927 tip .7694, actual table surface .75 or .76? At attempt .916 didn't track likely tip touching table at .765? Actual table is .76? Tri pad edge gave .747? Need better calibrations triangulation 6 object top .7779. Table top maybe .75. Fingers extent .1576 plus collision margin .? At .923 tip .765. Why contact at .923? Can be robot joint bound? Look joint shoulder 1.885 etc not limit. Finger wide ends may extend .167? Description farthest approximate .1576 could collision thickness. Anyway object bottom .757? At .930 rotated 0.17, object normal tilted. With grasp local x ~.15, bottom at .93-.156*.986-.015*.169 = .7736. Pad surface .755? Still 18mm above. But image number moved relative pads at latest? All same mostly. Need actual triangulate held object pixel high center (320,201?), wrist top. Use calibrated ray intersection top visible. Need high crop accurate.
#420:03.6步 89当前播放
本次没有输出思考
#430:03.6步 89当前播放
reasoning summary需要确保释放前有支撑。当前 g z .93 末端 .774?局部俯仰倾斜 .17 R x 末端 .7747 是的物体底部相对局部 .174?需要推断桌面在 .923 处失速,也许几何指尖有 .18 范围?给定范围 .1576 在 q 精确 →末端 .765 对比桌面 .75 间隙 .015;但失速来自夹爪物体?张开接触可能手指向前大于 .1576,因为黑色手指长度?工具声明 .1576 最远,所以也许桌面确实是 .765。物体顶部三角 .778。桌面约 .75?在张开宽手指时可能接触附近的 6 号?手指 x 外侧 -0.193 对比蓝色1?没有。测量在 .916 没有下降因为指尖底部 .758 碰到桌面 .765。桌面实际顶部 .765。彩色 6 号顶部中心 .777 只有 12 毫米厚。我错误的桌面估计来自垫点。可能桌面 z .75 但 .015 机械伺服宽碰撞几何。可能桌面 .75 但手指 0.17 长度有效碰撞。尽管如此裁剪 6 号环几乎在垫上,被降低跟踪 .93。也许再降低 .003 并观察是否失速。需要轻微方向改变到 0.14 + y 分量 4 毫米可能预检查通过。但可以直接释放如果稳定位置包括最小下降符合条件。数字接近平放 10 度俯仰在垫上,前边缘支撑。使用张开保持步骤2。
原文1,233 字
Need ensure supported before release. Current g z .93 tips .774? Local pitch tilt .17 R x z-.985 tips .7747 yes object bottom relative local .174? Need infer table stall at .923 maybe geometry fingertip has .18 extent? Given extent .1576 at q exact →tip .765 vs table .75 gap .015; but stall from gripper object? Open contact might finger forward greater than .1576 because black finger length? Tool states .1576 farthest so maybe table .765 indeed. Object top tri .778. Table ~.75? At opening wide fingers could make contact on nearby 6? fingers x outer -0.193 vs blue1? no. Measured didn't descend at .916 because fingertip bottom .758 hit tabletop .765. Table actual top .765. Color 6 top center .777 only 12mm thick. My wrong table estimation from pad points. Could tabletop z .75 but .015 mechanical servo broad collisions geometry. likely table .75 but fingers 0.17 length effective collisions. Nonetheless crop 6 loop almost on pad, was lowered tracked .93 . Maybe lower .003 and observe if stalled. Need slight orientation change to 0.14 + y comp 4mm possibly precheck passes. But can just release if stable location incl minimal drop qualifies. Number near flat 10deg pitch on pad, supported front edge. use open hold step2.
#440:03.6步 91当前播放
本次没有输出思考
#450:03.7步 93当前播放
本次没有输出思考
#460:03.9步 98当前播放
reasoning summary需要重置间隙。在 .988 手指 .84 高于 .78 .06 良好。返回重置关节初始可能弧线下降?需要提升到 1.03 + 再后退并向上旋转。也许现在重置安全根据足够。可以确保 .04 后退 -.12 等步骤5然后重置 50。我们有 200 剩余充足。不要过度。关节当前接近 2.3,重置 50 可能完成大概 32。初始远 .41。允许50。但端点重置可能穿过桌面取决于。可能重置插值直接平滑标准。在当前大肩配置重置会抬起手?初始肩 0 z .922 水平,中间可能很高。标准返回直接安全在提升后。可以现在调用重置有 .06 余量是的但后面有障碍垫?夹爪张开宽度 .09,高于 .84。重置抬升角度使手指从当前位置向前/向上移动 => 清除。
原文820 字
Need reset clearance. At .988 fingers .84 above .78 .06 good. Return resets joint initial maybe arcs down? Need lift to 1.03 + back another and rotate upward. Need perhaps reset safe now according enough. Can ensure .04 retreat -.12 etc step5 then reset 50. We have 200 left plenty. Don't overdo. Joint current near 2.3, reset 50 can complete probably 32. Initial far .41. Allow50. But endpoint reset can go through table depending. Likely resets interpolation direct smooth standard. At current large shoulder config resetting raises hand? Initial shoulder 0 z .922 horizontal, intermediate can maybe way high. Standard return direct safe after lift. Can call reset now with .06 margin yes but obstacle pads behind? Gripper opens width .09, above .84. Reset raising angle moves fingers forward/up from current => clear.
#470:05.5步 138当前播放
本次没有输出思考
03

双臂运动轨迹

俯视 + 侧视
左臂 右臂 起点 终点 当前帧
俯视(横向–纵向)
侧视(横向–高度)· 纵向放大
步 — 左 — 右 — 单位:米

两个红点分别是当前播放帧左、右臂的末端位置,随视频播放与拖动同步;轨迹取自每一帧观测文件里记录的左右臂末端位置。侧视图只在桌面端显示。

04

动作判断

29 条
每次 robot_act 前写下的判断,行尾是这一次规划的动作步数
0:00.00松散的橙色 6 位于空白答案板前方。我抬起并转动左夹爪,以便向下抓取,并在周围部件上方留出间隙。
原文156 字
The loose orange 6 is in front of the empty pad. I am raising and turning the left gripper for a downward grasp with clearance above the surrounding pieces.
5 步
0:00.25左夹爪仍避开所有部件,仅部分到达接近姿态。我将继续向上并向内移动,同时将手指向下旋转。
原文162 字
The left gripper remains clear of all pieces and has only partly reached the approach pose. I will continue upward and inward while rotating the fingers downward.
5 步
0:00.410手指位于桌面上方,橙色数字6在前方无遮挡。我继续沿清晰的接近路径并向下旋转。
原文132 字
The fingers are above the tabletop and the orange 6 is unobstructed ahead. I am continuing the clear approach and downward rotation.
5 步
0:00.615接近路径在散落数字上方仍然畅通。我将朝数字6移动,同时继续让手指保持竖直对齐。
原文126 字
The approach remains clear above the loose numbers. I will move toward the 6 while continuing to align the fingers vertically.
5 步
0:00.820夹爪仍安全地位于零件上方。我正靠近数字6,并让闭合方向横跨其宽度。
原文126 字
The gripper is still safely above the pieces. I am moving closer to the 6 and bringing the closing direction across its width.
5 步
0:01.025橙色数字6现在在腕部视图中清晰可见,且未受扰动。我将在其上方居中,同时继续向下对齐。
原文142 字
The orange 6 is now clearly visible in the wrist view, and remains undisturbed. I will center over it while continuing the downward alignment.
5 步
0:01.230数字6在附近零件之间处于孤立状态。我正在其圆润下段上方将张开的夹爪居中,同时保持竖直方向的间隙。
原文138 字
The 6 is isolated between nearby pieces. I am centering the open gripper above its rounded lower section while keeping vertical clearance.
5 步
0:01.435数字6的下部环圈提供了稳定的左右向抓取。我将完成手指朝下的指向,并将它们居中于该环圈上方。
原文132 字
The lower loop of the 6 offers a stable side-to-side grasp. I will finish pointing the fingers down and center them above that loop.
5 步
0:01.640腕部视图显示数字6的环圈略偏于夹爪中心右侧。我将修正该偏移并稍微下移,同时完成竖直对齐。
原文153 字
The wrist view shows the 6's loop slightly right of the gripper center. I will correct that offset and lower a little while finishing vertical alignment.
2 步
0:01.742张开的手指已横跨数字6的下部环圈对齐。我将短距离下降,使指垫到达其两侧而不触碰桌面。
原文152 字
The open fingers are aligned across the lower loop of the 6. I will descend in a short motion so the pads reach its sides without touching the tabletop.
2 步
0:01.844指垫跨在数字6的下部环圈两侧,与相邻数字之间有明显间隙。我将下移最后几毫米以抓取其侧壁。
原文147 字
The pads straddle the 6's lower loop with visible clearance from neighboring numbers. I will lower the last few millimeters to grasp its sidewalls.
2 步
0:01.846指令的下降未按预期跟踪,因此指尖可能已接触表面。我将停止下降并稍微抬起,然后再围绕已对齐的环圈闭合。
原文170 字
The commanded descent did not track, so there may be fingertip contact with the surface. I will stop descending and raise slightly before closing around the aligned loop.
2 步
0:01.948轻微抬起已按预期跟踪,指垫已与数字6下部环圈的两侧对齐。我将在保持该姿态稳定的同时闭合。
原文145 字
The slight raise tracked, and the finger pads are aligned with opposite sides of the 6's lower loop. I will close while holding this pose steady.
2 步
0:02.050手指仍在闭合,尚未明显固定住数字6。我将保持对齐并完成闭合,然后进行试提。
原文136 字
The fingers are still closing and have not yet visibly secured the 6. I will maintain alignment and complete closure before a test lift.
2 步
0:02.152指垫现在接触数字6的两侧。我将在保持姿态不变的情况下抬起约一厘米,以检查该零件是否跟随。
原文130 字
The pads now touch opposite sides of the 6. I will lift about a centimeter with orientation fixed to check that the piece follows.
2 步
0:02.254试提过程中数字6在指垫之间保持固定,而腕部视图中桌面发生移动,确认抓取成功。我将在运输前竖直抬起以获得安全间隙。
原文185 字
The 6 stayed fixed between the pads during the test lift while the tabletop shifted in the wrist view, confirming the grasp. I will raise vertically for safe clearance before transport.
5 步
0:02.459被夹持的数字6明显位于散落零件上方,姿态稳定。我将保持间隙,沿对角线朝空答案板搬运。
原文146 字
The held 6 is visibly above the loose pieces with stable orientation. I will carry it diagonally toward the empty pad while maintaining clearance.
5 步
0:02.664数字6仍牢固地对齐在手指之间,运输路径畅通。我将以相同安全高度继续朝答案板移动。
原文136 字
The 6 remains firmly aligned between the fingers, and the transit path is clear. I will continue toward the pad at the same safe height.
5 步
0:02.869较高的目标在未运动的情况下未通过运动学预检查。我将使用一个稍低的中间位姿,同时仍使 6 远高于桌面上的部件。
原文164 字
The higher target failed the kinematic precheck without motion. I will use a slightly lower intermediate pose that still keeps the 6 well above the tabletop pieces.
5 步
0:03.074朝答案板的垂直接近未通过运动学预检查。我将在间隙高度使用轻微的前倾,使手指能从更近的腕部位置够到答案板。
原文183 字
The vertical approach toward the pad failed the kinematic precheck. I will use a gentle forward tilt at clearance height so the fingers can reach the pad from a closer wrist position.
2 步
0:03.076小幅倾斜后,数字仍固定在夹爪中。我将继续该倾斜,并在充足间隙下移动到空答案板上方。
原文136 字
The number stayed fixed in the gripper after the small tilt. I will continue that tilt and move over the empty pad with ample clearance.
5 步
0:03.2816 已居中于空答案板上方并保持稳固。我将在减小倾斜的同时部分下降,使其能平放在答案板上。
原文132 字
The 6 is centered over the empty pad and remains secure. I will lower partway while reducing the tilt so it can lie flat on the pad.
2 步
0:03.383被夹持的数字仍在答案板上方,相邻的操作器与手指保持间隙。我将在进一步下降前完成中间的调平动作。
原文160 字
The held number is still above the pad, with neighboring operators clear of the fingers. I will finish the intermediate leveling motion before lowering further.
2 步
0:03.485完全垂直的位姿未通过其预检查。数字仍居中于答案板上方,因此我将使用轻微倾斜并轻柔下降,朝有支撑的放置位置移动。
原文160 字
The fully vertical pose failed its precheck. The number is still centered over the pad, so I will use a slight tilt and lower gently toward supported placement.
2 步
0:03.587数字位于答案板边界内并接近其表面。我将仅下降几毫米以建立支撑,然后再释放。
原文138 字
The number is within the pad boundary and close to its surface. I will lower only a few millimeters to establish support before releasing.
2 步
0:03.689近距视图显示 6 居中于答案板内,其下边缘位于支撑表面。我将在保持放置位姿的同时轻轻张开手指。
原文160 字
The close view shows the 6 centered within the pad, with its lower edge at the support surface. I will open the fingers gently while holding the placement pose.
2 步
0:03.691手指张开后,6 仍留在答案板上。我将向上并略微向后撤回,以验证其保持支撑并清理返回路径。
原文147 字
The 6 remains on the pad after the fingers opened. I will withdraw upward and slightly back to verify it stays supported and clear the return path.
2 步
0:03.793释放后的 6 稳固地平放在答案板上,完成 6 × 6 = 36。我将在重置机械臂前进一步撤回到开阔空间。
原文133 字
The released 6 is lying securely on the pad, completing 6 × 6 = 36. I will retract farther into open space before resetting the arms.
5 步
0:03.998释放后的 6 在答案板上保持稳定,两个张开的夹爪均与物体保持间隙。左臂远离其初始构型,因此我将允许最多 50 步用于返回。
原文189 字
The released 6 remains stable on the pad, and both open grippers are clear of the objects. The left arm is far from its initial configuration, so I will allow up to 50 steps for the return.
50 步
05运行日志默认收起,打开后显示最近 200 行
0:00.0 / 0:00.0 步 —
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