in lerobot/common/model/kinematics.py [0:0]
def _setup_transforms(self):
"""Setup all transformation matrices and screw axes for the robot."""
# Set up rotation matrices (constant across robot types)
# Gripper orientation
self.gripper_X0 = np.array(
[
[1, 0, 0, 0],
[0, 0, 1, 0],
[0, -1, 0, 0],
[0, 0, 0, 1],
],
dtype=np.float32,
)
# Wrist orientation
self.wrist_X0 = np.array(
[
[0, -1, 0, 0],
[1, 0, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
],
dtype=np.float32,
)
# Base orientation
self.base_X0 = np.array(
[
[0, 0, 1, 0],
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 0, 1],
],
dtype=np.float32,
)
# Gripper
# Screw axis of gripper frame wrt base frame
self.S_BG = np.array(
[
1,
0,
0,
0,
self.measurements["gripper"][2],
-self.measurements["gripper"][1],
],
dtype=np.float32,
)
# Gripper origin to centroid transform
self.X_GoGc = self._create_translation_matrix(x=0.07)
# Gripper origin to tip transform
self.X_GoGt = self._create_translation_matrix(x=0.12)
# 0-position gripper frame pose wrt base
self.X_BoGo = self._create_translation_matrix(
x=self.measurements["gripper"][0],
y=self.measurements["gripper"][1],
z=self.measurements["gripper"][2],
)
# Wrist
# Screw axis of wrist frame wrt base frame
self.S_BR = np.array(
[0, 1, 0, -self.measurements["wrist"][2], 0, self.measurements["wrist"][0]], dtype=np.float32
)
# 0-position origin to centroid transform
self.X_RoRc = self._create_translation_matrix(x=0.0035, y=-0.002)
# 0-position wrist frame pose wrt base
self.X_BR = self._create_translation_matrix(
x=self.measurements["wrist"][0],
y=self.measurements["wrist"][1],
z=self.measurements["wrist"][2],
)
# Forearm
# Screw axis of forearm frame wrt base frame
self.S_BF = np.array(
[
0,
1,
0,
-self.measurements["forearm"][2],
0,
self.measurements["forearm"][0],
],
dtype=np.float32,
)
# Forearm origin + centroid transform
self.X_ForearmFc = self._create_translation_matrix(x=0.036)
# 0-position forearm frame pose wrt base
self.X_BF = self._create_translation_matrix(
x=self.measurements["forearm"][0],
y=self.measurements["forearm"][1],
z=self.measurements["forearm"][2],
)
# Humerus
# Screw axis of humerus frame wrt base frame
self.S_BH = np.array(
[
0,
-1,
0,
self.measurements["humerus"][2],
0,
-self.measurements["humerus"][0],
],
dtype=np.float32,
)
# Humerus origin to centroid transform
self.X_HoHc = self._create_translation_matrix(x=0.0475)
# 0-position humerus frame pose wrt base
self.X_BH = self._create_translation_matrix(
x=self.measurements["humerus"][0],
y=self.measurements["humerus"][1],
z=self.measurements["humerus"][2],
)
# Shoulder
# Screw axis of shoulder frame wrt Base frame
self.S_BS = np.array([0, 0, -1, 0, 0, 0], dtype=np.float32)
# Shoulder origin to centroid transform
self.X_SoSc = self._create_translation_matrix(x=-0.017, z=0.0235)
# 0-position shoulder frame pose wrt base
self.X_BS = self._create_translation_matrix(
x=self.measurements["shoulder"][0],
y=self.measurements["shoulder"][1],
z=self.measurements["shoulder"][2],
)
# Base
# Base origin to centroid transform
self.X_BoBc = self._create_translation_matrix(y=0.015)
# World to base transform
self.X_WoBo = self._create_translation_matrix(
x=self.measurements["base"][0],
y=self.measurements["base"][1],
z=self.measurements["base"][2],
)
# Pre-compute gripper post-multiplication matrix
self._fk_gripper_post = self.X_GoGc @ self.X_BoGo @ self.gripper_X0