左夹爪现在已空,而马仍在桌上。我需要换一种方法。它倒置的姿态和弯曲的底座似乎妨碍了稳定的夹取。我可以通过推动底座或身体、利用张开夹爪的侧向运动,或抓住底座并使其滚动来把它翻正。原本的直立抓取更容易:右臂将其提起并搬运了约 0.2米,然后它滑落了。另一种可能是用右臂抓住头部,同时左臂支撑底座。
倒置的马在高机位相机视图中位于像素 (275, 328) 附近。左腕部视图(朝向为)显示底座在左侧、头部在右侧、身体在两者之间。右腕部正看向桌子的另一部分。空的左夹爪位于 [−0.087, −0.256, 1.017] m,朝向为,右夹爪位于 [0.15, −0.2, 1.05] m。双臂抬升需要分开的抓取点,且夹爪之间要有足够的间隙。
在失败的抓取过程中马发生了旋转,我可能误解了它的朝向。在下,图像水平坐标大致对应世界 Y 的负方向,而光学向下方向对应 −0.866 倍世界 X 加 0.5 倍世界 Z。因此图像左侧的底座位于世界 Y 正方向更靠后的位置,右侧的头部位于世界 Y 负方向更靠前的位置。马的长轴现在似乎沿世界 Y 方向,而不是世界 X 方向。在高机位相机视图中,底座可能位于图像 y = 320 附近,头部位于 y = 335 附近,这也表明其沿世界 Y 方向对齐。
这意味着是沿马的长轴闭合,而不是横跨其躯干宽度。我本意是宽度方向的抓取,但马在尝试过程中可能旋转了 90°,使手指再次与其头部和底座对齐。在观测_000546 中,我估计底座在腕部图像水平像素 310 附近,头部在 420 附近,身体在 370 附近。它们的长轴在该图像中看起来大致水平,手指的局部 Y 闭合方向也大致水平。回到沿世界 X 闭合的,现在可能获得更好的躯干抓取。在观测_000475 中, 也显示底座在左侧、头部在右侧,因此物体的旋转可能一直在破坏预期的对齐。在观测_000484 中,底座在躯干上方,头部在右侧; 当时可能部分横跨宽度,但只抓住了带子。我对那些较早的解释仍不确定。
我应该根据马当前的朝向选择抓取,并寻求宽大的对向接触,以防止闭合过程中发生旋转。更具体地说,我估计当前腕部图像中的躯干位于 (370, 160),底座位于 (310, 150),头部位于 (420, 100)。从左上方的底座到右上方的头部的长轴相对于水平方向约为 −30°。其垂线约为 60°,在图像中指向右下方。我能否将向下的腕部绕局部 X 从向旋转 +60°?从到的变化是绕局部 X 的 90° 旋转,中间的给出 45° 的相机旋转。这会使长轴处于 15° 还是 75°?要把当前 −30° 的长轴变成 90° 的垂直图像轴,相机需要旋转 120° 吗?物体的图像旋转方向与相机相反,所以也许 −60° 的相机旋转能使手指适当对齐。我还没有确定方向,不过大致垂直的抓取可能就足够了。
或者,我可以保持并移动到躯干中心,使闭合避开头部。长轴是对角线方向,躯干宽度可能沿其垂线方向。水平的手指闭合仍可能接触到左侧的底座腿和右侧的颈部。居中的抓取配合完整的垫面接触可能有效,但类似的尝试已经滑落过。从下方支撑玩具或用双臂支撑可能更可靠。
双臂托举是另一种选择。左臂可以抓住躯干,也许用,而右臂用接近以固定底座或头部并防止滚动。然后我可以同时将双臂抬升 0.05米。即使左臂接触不完美,也可能被右臂稳定住。理想情况下,两个夹爪应占据相反的两端,间距大于 0.1米。
我估计马在世界坐标系中的中心接近 [−0.08, −0.28] m,其长轴沿世界 Y 方向,长度为 0.12米。后端底座抓取在 y = −0.23米,前端头部抓取在 y = −0.31米,两者仅相距 0.08米,因此如果两个夹爪共享 X 和 Z 坐标,手指可能会碰撞。不同的高度,例如左第六连杆在 z = 0.94米抓取身体、右第六连杆在 z = 0.98米抓取底座,可能有所帮助。在 x = −0.08米、y = −0.27米处抓取身体,以及在 x = −0.02米、y = −0.27米处抓取侧面,两者仅相距 0.06米,而夹爪宽度约为 0.1米,存在碰撞隐患。相反两端相距 0.12米会更安全。
另一个提议的组合是:左臂在 [−0.08, −0.27, 0.94] m 处以抓取身体,沿世界 X 闭合;右臂在 [−0.08, −0.21, 0.97] m 处以支撑底座。这同样只给出 0.06米的间距。马的实际长度可能更接近 0.10米,使得在这个狭窄区域内双臂抓取变得困难。
把白色篮子移到马那里是一个有吸引力的替代方案。我可以抓住篮子的边缘,把仍装着大象的篮子带到前中心区域,然后用另一只臂把马滚入或推入篮中。我怀疑原生目标会检查篮子身份和物体位置,因此移动指定的篮子可能是可接受的。我估计白色篮子的尺寸为 0.25 × 0.15米,其边缘高度为 z = 0.84米。一个初步想法是右臂以抓住前边缘中心 x = −0.28米、y = −0.02米、z = 0.94米,提起篮子,并将其移向 x = −0.08米、y = −0.28米。大象增加了一些重量,但看起来很小。
我能否改为把篮子定位在静止的马上方,然后将其下放罩住玩具?这样可以避免再次抓取马。如果马已经在桌上位于篮子的投影范围内,下放篮子就会将其罩住。包含检查可能使用边界框并接受这种安排,但这只是一个假设。“左侧篮子”这个说法可能指的是篮子的身份,而不是要求其最终位置保持在左侧;我不确定。移动篮子还有洒出大象或扰动沿途辣椒的风险。
右臂可能无法够到位于 x = −0.28米、y = 0米的白色篮子。左臂已经够到过它,似乎更适合进行搬迁。从左臂当前的前中心位置到位于 x = −0.28米、y = 0.04米附近的白色篮子,我估计距离为 0.35米,但应该可以分段接近。我可以用左臂以在 x = −0.28米、y = −0.02米、z = 0.95米处抓住前边缘,将篮子提起 0.1米,并把它搬向位于 x = −0.08米、y = −0.28米附近的马。把它进一步向前搬到靠近臂初始区域的位置应该是可达的。缓慢移动并保持水平可能可以让大象留在里面。在那次移动过程中右臂需要握住什么东西吗?这仍然是一个替代方案,但左臂可能能够独自搬运篮子。
任务可能期望篮子留在左侧,但并未禁止移动容器,而且操作技能明确允许在可移动容器太远时将其移近。在多次抓取马失败后,这似乎是最好的后备方案。我需要在移动过程中始终保持对大象的支撑。我估计篮子边缘在 z = 0.84米,其底部在 z = 0.75米。
对于前边缘抓取, 比更合适。边缘沿世界 X 方向延伸,而其厚度需要沿世界 Y 方向夹取。 沿世界 X 闭合; 沿世界 Y 前后闭合,而左腕部已经是。在第六连杆高度 z = 0.99米处,我估计指尖在 z = 0.832米,靠近边缘顶部,垫面接触大约在 z = 0.80–0.84米。提议的张开接近位置 [−0.28, −0.02, 0.98] m 使指尖大约在 z = 0.822米。我可以横跨前壁闭合,然后将第六连杆抬升到 z = 1.08米,将篮子抬高 0.1米。大象看起来较轻且受到支撑,不过在运输过程中必须检查这种支撑。
要把篮子居中到位于 [−0.08, −0.28] m 的马上方,我需要考虑前边缘抓取的偏移。之前的前边缘估计为 y = −0.02米,篮子中心为 y = 0.04米,给出前向偏移 −0.06米。这表明搬运时前边缘目标应为 y = −0.28 − 0.06 = −0.34米,x = −0.08米,同时保持第六连杆高度 z = 1.08米。这接近左臂初始的 Y 坐标 −0.352米,似乎可达。由此得到的篮子投影范围大约为 y = −0.34 到 −0.20米,包含位于 y = −0.28米的马中心。大象在运输过程中可能会移动,但如果我缓慢且水平地移动,我预计它会留在里面。
然后我会在第六连杆为 z = 0.98米时下放篮子,使边缘回到 z = 0.84米,同时静止的马位于篮子内。松开边缘后,我可以撤回并检查结果。原生成功似乎是可能的,但尚未验证。
还剩 554 个控制步。从当前左臂姿态 [−0.087, −0.256, 1.017] m 到白色前边缘 [−0.28, −0.02, 0.99] m 的直接路径约为 0.31米,超过了 0.25米的命令限制。我将先张开空的左夹爪并移动到 [−0.22, −0.12, 1.06] m,我估计这是一个 0.189米的中间移动,保持。右臂可以保持其无碰撞姿态 [0.15, −0.2, 1.05] m,夹爪张开。然后我将使用腕部视图与白色边缘对齐;大象仍然可见于内部。
篮子之后的路径从 x = −0.28米到 −0.08米、从 y = −0.02米到 −0.34米,朝前并向右,从蓝色篮子的左侧经过。我最初想知道起始间隙是否为 0.07米。使用估计的白色右边缘 x = −0.17米和蓝色左边缘 x = −0.12米,得到间隙为 0.05米。在平移之前先垂直抬升应有助于避免与蓝色边缘接触。随着计划的推进,我将检查间隙和大象的支撑情况。
我会告诉用户,在不稳定的夹取之后马仍在桌上,我正在把白色篮子带到它那里,同时保持大象在篮内受到支撑。当前动作是张开左夹爪并以朝中间姿态 [−0.22, −0.12, 1.06] m 移动,保持右臂无碰撞,并使用 8 个控制步。
原文10,594 字
The left gripper is now empty, and the horse remains on the table. I need a different approach. Its upside-down pose and curved base seem to prevent a stable pinch. I could flip it upright by pushing the base or body, using an open gripper’s sideways motion, or grasping the base and rolling it. The original upright grasp was easier: the right arm lifted and transported it approximately 0.2 m before it slipped. Another possibility is to grasp the head with the right arm while the left supports the base.
The upside-down horse is near pixel (275, 328) in the high-camera view. The left wrist view, with orientation qY, shows the base on the left, the head on the right, and the body between them. The right wrist is looking at another part of the table. The empty left gripper is at [−0.087, −0.256, 1.017] m with qY, and the right gripper is at [0.15, −0.2, 1.05] m. A two-arm lift would require separate grasp points and enough clearance between the grippers.
I may have misunderstood the horse’s orientation after it rotated during the failed grasps. With qY, horizontal image coordinates correspond approximately to negative world Y, while optical down corresponds to −0.866 times world X plus 0.5 times world Z. The base on the image’s left therefore lies farther back along positive world Y, and the head on the right lies farther forward along negative world Y. The horse’s long axis now appears to run along world Y rather than world X. In the high-camera view, the base may be near image y = 320 and the head near y = 335, also suggesting a world-Y alignment.
That would mean qY closes along the horse’s long axis rather than across its torso width. I intended a width-wise grasp, but the horse may have rotated 90° during the attempts, leaving the fingers aligned with its head and base again. In obs_000546, I estimate the base near horizontal wrist pixel 310, the head near 420, and the body near 370. Their long axis looks roughly horizontal in that image, as does the fingers’ local-Y closing direction. Returning to q0, which closes along world X, might now give a better torso grasp. At obs_000475, q0 also showed the base on the left and head on the right, so the object’s rotation may have kept defeating the intended alignment. At obs_000484, the base was above the torso and the head was to the right; q0 may then have been partly across the width but caught only a strap. I am still uncertain about those earlier interpretations.
I should choose the grasp from the horse’s current orientation and seek broad opposing contacts that prevent rotation during closure. More specifically, I estimate the current wrist-image torso at (370, 160), base at (310, 150), and head at (420, 100). The long axis from the lower-left base to the upper-right head is approximately −30° relative to horizontal. Its perpendicular is approximately 60°, pointing down and right in the image. Could I rotate the downward wrist about local X by +60° from qY toward q0? The qY-to-q0 change is a 90° rotation about local X, and the intermediate qM gives a 45° camera rotation. Would that leave the long axis at 15° or 75°? To turn the current −30° long axis into a vertical image axis at 90°, would the camera need a 120° rotation? The object’s image rotates opposite the camera, so perhaps a −60° camera rotation would align the fingers appropriately. I have not resolved the direction, although an approximately perpendicular grasp might be sufficient.
Alternatively, I could keep qY and shift to the torso center so closure avoids the head. The long axis is diagonal, and the torso width may run along its perpendicular. Horizontal finger closure could still contact a base leg on the left and the neck on the right. A centered grasp with full pad contact might work, but a similar attempt already slipped. Supporting the toy from below or with both arms may be more reliable.
A two-arm cradle is another option. The left could grasp the torso, perhaps with q0, while the right approaches with q0 to secure the base or head and prevent rolling. I could then lift both arms simultaneously by 0.05 m. Even imperfect left contact might be stabilized by the right. Ideally, the grippers would occupy opposite ends with more than 0.1 m separation.
I estimate the horse’s world-frame center near [−0.08, −0.28] m, its long axis along world Y, and its length at 0.12 m. A back-end base grasp at y = −0.23 m and a front-end head grasp at y = −0.31 m would be only 0.08 m apart, so the fingers could collide if both grippers shared X and Z coordinates. Different heights, such as left link6 at z = 0.94 m for the body and right link6 at z = 0.98 m for the base, might help. A body grasp at x = −0.08 m, y = −0.27 m and a side grasp at x = −0.02 m, y = −0.27 m would have only 0.06 m separation against gripper widths of approximately 0.1 m, creating a collision concern. Opposite-end separation of 0.12 m would be safer.
Another proposed pair is a left body grasp at [−0.08, −0.27, 0.94] m with q0, closing along world X, and right base support at [−0.08, −0.21, 0.97] m with q0. That also gives only 0.06 m separation. The horse’s actual length may be closer to 0.10 m, making a two-arm grasp difficult in this confined area.
Moving the white basket to the horse is an attractive alternative. I could bring it, with the elephant still inside, to the front-center area by gripping its rim, then use the other arm to roll or push the horse into it. I suspect the native goal checks basket identity and object positions, so moving the designated basket may be acceptable. I estimate the white basket’s size at 0.25 by 0.15 m and its rim height at z = 0.84 m. One initial idea is for the right arm to grasp the front-rim center at x = −0.28 m, y = −0.02 m, z = 0.94 m with q0, lift the basket, and move it toward x = −0.08 m, y = −0.28 m. The elephant adds some weight but appears small.
Could I instead position the basket over the stationary horse and lower it around the toy? That would avoid grasping the horse again. If the horse is already on the table within the basket’s footprint, lowering the basket would surround it. The containment check might use a bounding box and accept this arrangement, but that is only a hypothesis. The phrase “left basket” probably refers to the basket’s identity rather than requiring its final position to remain on the left; I am not certain. Moving the basket also risks spilling the elephant or disturbing the peppers along the path.
The right arm may not be able to reach the white basket at x = −0.28 m, y = 0 m. The left arm has already reached it and seems better suited to the relocation. From the left arm’s current front-center position to the white basket near x = −0.28 m, y = 0.04 m, I estimate a distance of 0.35 m, but it should be approachable in segments. I could grasp the front rim with the left at x = −0.28 m, y = −0.02 m, z = 0.95 m using q0, lift the basket by 0.1 m, and carry it toward the horse near x = −0.08 m, y = −0.28 m. Bringing it farther forward toward the arm’s initial area should be reachable. Moving slowly and keeping it level may keep the elephant inside. Would the right arm need to hold anything during that move? That remains an alternative, but the left arm may be able to carry the basket alone.
The task might expect the basket to stay on the left, but container movement is not prohibited, and the manipulation skill explicitly permits moving a movable container closer when it is too far away. This seems the best fallback after repeated failed horse grasps. I need to preserve support for the elephant throughout the move. I estimate the basket rim at z = 0.84 m and its base at z = 0.75 m.
For the front-rim grasp, qY is more suitable than q0. The rim spans world X, while its thickness needs a pinch along world Y. q0 closes along world X; qY closes front-to-back along world Y, and the left wrist already has qY. At link6 height z = 0.99 m, I estimate the fingertips at z = 0.832 m, near the rim top, with pad contact around z = 0.80–0.84 m. A proposed open approach at [−0.28, −0.02, 0.98] m puts the fingertips around z = 0.822 m. I can close across the front wall and then lift link6 to z = 1.08 m, raising the basket by 0.1 m. The elephant appears light and supported, though that support must be checked during transport.
To center the basket over the horse at [−0.08, −0.28] m, I need to account for the front-rim grasp offset. The earlier front-rim estimate was y = −0.02 m and the basket center y = 0.04 m, giving a front offset of −0.06 m. That suggests a carried front-rim target at y = −0.28 − 0.06 = −0.34 m, x = −0.08 m, while maintaining link6 height z = 1.08 m. This is near the initial left-arm Y coordinate of −0.352 m and seems reachable. The resulting basket footprint would span approximately y = −0.34 to −0.20 m, containing the horse center at y = −0.28 m. The elephant may shift during transport, but I expect it to remain inside if I move slowly and level.
I would then lower the basket with link6 at z = 0.98 m, bringing the rim back to z = 0.84 m while the stationary horse lies within the basket. After releasing the rim, I can retract and inspect the result. Native success seems plausible, but it is unverified.
There are 554 control steps remaining. The direct approach from the current left pose [−0.087, −0.256, 1.017] m to the white front rim at [−0.28, −0.02, 0.99] m is approximately 0.31 m, exceeding the 0.25 m command limit. I’ll first open the empty left gripper and move to [−0.22, −0.12, 1.06] m, which I estimate is a 0.189 m intermediate move, retaining qY. The right arm can hold its clear pose at [0.15, −0.2, 1.05] m with its gripper open. Then I’ll use the wrist view to align with the white rim; the elephant remains visible inside.
The basket’s later path from x = −0.28 m to −0.08 m and y = −0.02 m to −0.34 m heads forward and to the right, passing to the left of the blue basket. I initially wondered whether the starting gap was 0.07 m. Using the estimated white right edge at x = −0.17 m and blue left edge at x = −0.12 m gives a gap of 0.05 m. Lifting vertically before translating should help avoid contact with the blue rim. I’ll inspect clearance and the elephant’s support as the plan proceeds.
I’ll tell the user that the horse remains on the table after the unstable pinches and that I’m bringing the white basket to it while keeping the elephant supported inside. The immediate action is to open the left gripper and move toward the intermediate pose [−0.22, −0.12, 1.06] m with qY, hold the right arm clear, and use 8 control steps.