add tools

This commit is contained in:
liangyuxuan
2025-11-18 11:42:49 +08:00
parent 6e26ea5d67
commit 695548b702
3 changed files with 293 additions and 248 deletions

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@@ -9,254 +9,6 @@ import transforms3d as tfs
from .object_icp import object_icp
def _get_matrix_quat(x, y, z, rw, rx, ry, rz):
"""从单位四元数构建齐次变换矩阵"""
'''构造旋转矩阵'''
q = [rw, rx, ry, rz]
rmat = tfs.quaternions.quat2mat(q)
"""构造齐次变换矩阵"""
rmat = tfs.affines.compose(
np.squeeze(np.asarray((x, y, z))),
rmat,
[1, 1, 1]
)
return rmat
def _get_matrix_eular_radu(x, y, z, rx, ry, rz):
"""从欧拉角构建齐次变换矩阵"""
'''构造旋转矩阵'''
rmat = tfs.euler.euler2mat(
# math.radians(rx), math.radians(ry), math.radians(rz)
rx, ry, rz
)
"""构造齐次变换矩阵"""
rmat = tfs.affines.compose(
np.squeeze(np.asarray((x, y, z))),
rmat,
[1, 1, 1]
)
return rmat
def _get_matrix_rotvector(x, y, z, rx, ry, rz):
"""从旋转向量构建齐次变换矩阵"""
'''构造旋转矩阵'''
rvec = np.array([rx, ry, rz])
theta = np.linalg.norm(rvec)
if theta < 1e-8:
rmat = np.eye(3) # 小角度直接返回单位矩阵
else:
axis = rvec / theta
rmat = tfs.axangles.axangle2mat(axis, theta)
"""构造齐次变换矩阵"""
rmat = tfs.affines.compose(
np.squeeze(np.asarray((x, y, z))),
rmat,
[1, 1, 1]
)
return rmat
def _skew(v):
return np.array([[0, -v[2], v[1]],
[v[2], 0, -v[0]],
[-v[1], v[0], 0]])
def _R2P(T):
"""旋转矩阵 --> 修正罗德里格斯向量"""
axis, angle= tfs.axangles.mat2axangle(T[0:3, 0:3])
P = 2 * math.sin(angle / 2) * axis
return P
def _P2R(P):
"""修正罗德里格斯向量 --> 旋转矩阵"""
P2 = np.dot(P.T, P)
part_1 = (1 - P2 / 2) * np.eye(3)
part_2 = np.add(np.dot(P, P.T), np.sqrt(4- P2) * _skew(P.flatten().T))
R = np.add(part_1, np.divide(part_2, 2))
return R
def _calculate_(Hgs, Hcs):
"""计算标定矩阵"""
# H代表矩阵、h代表标量
Hgijs = []
Hcijs = []
A = []
B = []
size = 0
for i in range(len(Hgs)):
for j in range(i + 1, len(Hgs)):
size += 1
Hgij = np.dot(np.linalg.inv(Hgs[j]), Hgs[i])
Hgijs.append(Hgij)
Pgij = np.dot(2, _R2P(Hgij))
Hcij = np.dot(Hcs[j], np.linalg.inv(Hcs[i]))
Hcijs.append(Hcij)
Pcij = np.dot(2, _R2P(Hcij))
A.append(_skew(np.add(Pgij, Pcij)))
B.append(np.subtract(Pcij, Pgij).reshape(3, 1))
MA = np.vstack(A)
MB = np.vstack(B)
Pcg_ = np.dot(np.linalg.pinv(MA), MB)
pcg = np.sqrt(np.add(1, np.dot(Pcg_.T, Pcg_)))
Pcg = np.dot(np.dot(2, Pcg_), np.linalg.inv(pcg))
Rcg = _P2R(Pcg).reshape(3, 3)
A = []
B = []
id = 0
for i in range(len(Hgs)):
for j in range(i + 1, len(Hgs)):
Hgij = Hgijs[id]
Hcij = Hcijs[id]
A.append(np.subtract(Hgij[0:3, 0:3], np.eye(3, 3)))
B.append(np.subtract(np.dot(Rcg, Hcij[0:3, 3:4]), Hgij[0:3, 3:4]))
id += 1
MA = np.asarray(A).reshape(size * 3, 3)
MB = np.asarray(B).reshape(size * 3, 1)
Tcg = np.dot(np.linalg.pinv(MA), MB).reshape(3, )
return tfs.affines.compose(Tcg, np.squeeze(Rcg), [1, 1, 1])
class _Calibration:
def __init__(self, mode, input_format, hand_pose_path, camera_pose_path, save_path):
"""
matrix_name: str
mode: "eye_in_hand" or "eye_to_hand"
input_format: str, "eular" or "rotvertor" or "quat"
hand_pose_path: str
camera_pose_path: str
save_path: str
"""
self._Hgs, self._Hcs = [], []
self._hand, self._camera = [], []
self._calibration_matrix = None
self._done = False
self._mode = mode
if self._mode not in ['eye_in_hand', 'eye_to_hand']:
raise ValueError("mode must be 'eye_in_hand' or 'eye_to_hand'")
self._input = input_format
if self._input == 'eular':
self._function = _get_matrix_eular_radu
elif self._input == 'rotvertor':
self._function = _get_matrix_rotvector
elif self._input == 'quat':
self._function = _get_matrix_quat
else:
raise ValueError("INPUT ERROR")
self._camera_pose_path = camera_pose_path
self._hand_pose_path = hand_pose_path
self._save_path = save_path
self._get_pose()
def _get_pose(self):
with open(f'{self._camera_pose_path}', 'r', encoding='utf-8') as f:
self._camera = json.load(f)
with open(f'{self._hand_pose_path}', 'r', encoding='utf-8') as f:
self._hand = json.load(f)
self._calculate_calibration()
print(self._hand)
print(self._camera)
logging.info(f"{self._calibration_matrix}")
hand_eye_result = {
"T": self._calibration_matrix.tolist()
}
with open(f"{self._save_path}", "w") as f:
json.dump(hand_eye_result, f, indent=4)
logging.info(f"Save as {self._save_path}")
self._done = True
def _calculate_data(self):
if self._input == 'quat':
for i in range(0, len(self._hand), 7):
self._Hgs.append(
np.linalg.inv(
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5], self._hand[i + 6]
)
)
if self._mode == 'eye_to_hand' else
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5], self._hand[i + 6]
)
)
self._Hcs.append(
self._function(
self._camera[i], self._camera[i + 1], self._camera[i + 2],
self._camera[i + 3], self._camera[i + 4], self._camera[i + 5], self._camera[i + 6]
)
)
else:
for i in range(0, len(self._hand), 6):
self._Hgs.append(
np.linalg.inv(
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5]
)
)
if self._mode == 'eye_to_hand' else
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5]
)
)
self._Hcs.append(
self._function(
self._camera[i], self._camera[i + 1], self._camera[i + 2],
self._camera[i + 3], self._camera[i + 4], self._camera[i + 5]
)
)
def _calculate_calibration(self):
self._calculate_data()
self._calibration_matrix = _calculate_(self._Hgs, self._Hcs)
def calculate_hand_eye_matrix(
mode,
input_format,
hand_pose_path,
camera_pose_path,
save_path
):
"""
matrix_name: str
mode: "eye_in_hand" or "eye_to_hand"
input_format: str, "eular" or "rotvertor" or "quat"
hand_pose_path: str
camera_pose_path: str
save_path: str
"""
a = _Calibration(mode, input_format, hand_pose_path, camera_pose_path, save_path)
def pca(data: np.ndarray, sort=True):
"""主成分分析 """
center = np.mean(data, axis=0)

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@@ -0,0 +1,261 @@
import math
import json
import logging
import numpy as np
import transforms3d as tfs
def _get_matrix_quat(x, y, z, rw, rx, ry, rz):
"""从单位四元数构建齐次变换矩阵"""
'''构造旋转矩阵'''
q = [rw, rx, ry, rz]
rmat = tfs.quaternions.quat2mat(q)
"""构造齐次变换矩阵"""
rmat = tfs.affines.compose(
np.squeeze(np.asarray((x, y, z))),
rmat,
[1, 1, 1]
)
return rmat
def _get_matrix_eular_radu(x, y, z, rx, ry, rz):
"""从欧拉角构建齐次变换矩阵"""
'''构造旋转矩阵'''
rmat = tfs.euler.euler2mat(
# math.radians(rx), math.radians(ry), math.radians(rz)
rx, ry, rz
)
"""构造齐次变换矩阵"""
rmat = tfs.affines.compose(
np.squeeze(np.asarray((x, y, z))),
rmat,
[1, 1, 1]
)
return rmat
def _get_matrix_rotvector(x, y, z, rx, ry, rz):
"""从旋转向量构建齐次变换矩阵"""
'''构造旋转矩阵'''
rvec = np.array([rx, ry, rz])
theta = np.linalg.norm(rvec)
if theta < 1e-8:
rmat = np.eye(3) # 小角度直接返回单位矩阵
else:
axis = rvec / theta
rmat = tfs.axangles.axangle2mat(axis, theta)
"""构造齐次变换矩阵"""
rmat = tfs.affines.compose(
np.squeeze(np.asarray((x, y, z))),
rmat,
[1, 1, 1]
)
return rmat
def _skew(v):
return np.array([[0, -v[2], v[1]],
[v[2], 0, -v[0]],
[-v[1], v[0], 0]])
def _R2P(T):
"""旋转矩阵 --> 修正罗德里格斯向量"""
axis, angle= tfs.axangles.mat2axangle(T[0:3, 0:3])
P = 2 * math.sin(angle / 2) * axis
return P
def _P2R(P):
"""修正罗德里格斯向量 --> 旋转矩阵"""
P2 = np.dot(P.T, P)
part_1 = (1 - P2 / 2) * np.eye(3)
part_2 = np.add(np.dot(P, P.T), np.sqrt(4- P2) * _skew(P.flatten().T))
R = np.add(part_1, np.divide(part_2, 2))
return R
def _calculate_(Hgs, Hcs):
"""计算标定矩阵"""
# H代表矩阵、h代表标量
Hgijs = []
Hcijs = []
A = []
B = []
size = 0
for i in range(len(Hgs)):
for j in range(i + 1, len(Hgs)):
size += 1
Hgij = np.dot(np.linalg.inv(Hgs[j]), Hgs[i])
Hgijs.append(Hgij)
Pgij = np.dot(2, _R2P(Hgij))
Hcij = np.dot(Hcs[j], np.linalg.inv(Hcs[i]))
Hcijs.append(Hcij)
Pcij = np.dot(2, _R2P(Hcij))
A.append(_skew(np.add(Pgij, Pcij)))
B.append(np.subtract(Pcij, Pgij).reshape(3, 1))
MA = np.vstack(A)
MB = np.vstack(B)
Pcg_ = np.dot(np.linalg.pinv(MA), MB)
pcg = np.sqrt(np.add(1, np.dot(Pcg_.T, Pcg_)))
Pcg = np.dot(np.dot(2, Pcg_), np.linalg.inv(pcg))
Rcg = _P2R(Pcg).reshape(3, 3)
A = []
B = []
id = 0
for i in range(len(Hgs)):
for j in range(i + 1, len(Hgs)):
Hgij = Hgijs[id]
Hcij = Hcijs[id]
A.append(np.subtract(Hgij[0:3, 0:3], np.eye(3, 3)))
B.append(np.subtract(np.dot(Rcg, Hcij[0:3, 3:4]), Hgij[0:3, 3:4]))
id += 1
MA = np.asarray(A).reshape(size * 3, 3)
MB = np.asarray(B).reshape(size * 3, 1)
Tcg = np.dot(np.linalg.pinv(MA), MB).reshape(3, )
return tfs.affines.compose(Tcg, np.squeeze(Rcg), [1, 1, 1])
class _Calibration:
def __init__(self, mode, input_format, hand_pose_path, camera_pose_path, save_path):
"""
matrix_name: str
mode: "eye_in_hand" or "eye_to_hand"
input_format: str, "euler" or "rotvertor" or "quat"
hand_pose_path: str
camera_pose_path: str
save_path: str
"""
self._Hgs, self._Hcs = [], []
self._hand, self._camera = [], []
self._calibration_matrix = None
self._done = False
self._mode = mode
if self._mode not in ['eye_in_hand', 'eye_to_hand']:
raise ValueError("mode must be 'eye_in_hand' or 'eye_to_hand'")
self._input = input_format
if self._input == 'euler':
self._function = _get_matrix_eular_radu
elif self._input == 'rotvertor':
self._function = _get_matrix_rotvector
elif self._input == 'quat':
self._function = _get_matrix_quat
else:
raise ValueError("INPUT ERROR")
self._camera_pose_path = camera_pose_path
self._hand_pose_path = hand_pose_path
self._save_path = save_path
self._get_pose()
def _get_pose(self):
with open(f'{self._camera_pose_path}', 'r', encoding='utf-8') as f:
self._camera = json.load(f)
with open(f'{self._hand_pose_path}', 'r', encoding='utf-8') as f:
self._hand = json.load(f)
self._calculate_calibration()
print(self._hand)
print(self._camera)
logging.info(f"{self._calibration_matrix}")
hand_eye_result = {
"T": self._calibration_matrix.tolist()
}
with open(f"{self._save_path}", "w") as f:
json.dump(hand_eye_result, f, indent=4)
logging.info(f"Save as {self._save_path}")
self._done = True
def _calculate_data(self):
if self._input == 'quat':
for i in range(0, len(self._hand), 7):
self._Hgs.append(
np.linalg.inv(
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5], self._hand[i + 6]
)
)
if self._mode == 'eye_to_hand' else
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5], self._hand[i + 6]
)
)
self._Hcs.append(
self._function(
self._camera[i], self._camera[i + 1], self._camera[i + 2],
self._camera[i + 3], self._camera[i + 4], self._camera[i + 5], self._camera[i + 6]
)
)
else:
for i in range(0, len(self._hand), 6):
self._Hgs.append(
np.linalg.inv(
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5]
)
)
if self._mode == 'eye_to_hand' else
self._function(
self._hand[i], self._hand[i + 1], self._hand[i + 2],
self._hand[i + 3], self._hand[i + 4], self._hand[i + 5]
)
)
self._Hcs.append(
self._function(
self._camera[i], self._camera[i + 1], self._camera[i + 2],
self._camera[i + 3], self._camera[i + 4], self._camera[i + 5]
)
)
def _calculate_calibration(self):
self._calculate_data()
self._calibration_matrix = _calculate_(self._Hgs, self._Hcs)
def calculate_hand_eye_matrix(
mode,
input_format,
hand_pose_path,
camera_pose_path,
save_path
):
"""
matrix_name: str
mode: "eye_in_hand" or "eye_to_hand"
input_format: str, "euler" or "rotvertor" or "quat"
hand_pose_path: str
camera_pose_path: str
save_path: str
"""
a = _Calibration(mode, input_format, hand_pose_path, camera_pose_path, save_path)
if __name__ == "__main__":
calculate_hand_eye_matrix(
mode= "eye_in_hand",
input_format= "quat",
hand_pose_path="",
camera_pose_path="",
save_path=""
)

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@@ -0,0 +1,32 @@
import json
import transforms3d as tfs
def prepare_data(_data:list[float], save_path: str = "camera_pose_data.json", format: str = "quat", mm2m: bool = False):
new_list = []
if format == "quat":
for i in range(0, len(_data), 7):
if mm2m:
new = [_data[i], _data[i + 1], _data[i + 2], _data[i + 3], _data[i + 4], _data[i + 5], _data[i + 6]]
else:
new = [_data[i]/1e3, _data[i + 1]/1e3, _data[i + 2]/1e3, _data[i + 6], _data[i + 3], _data[i + 4], _data[i + 5], _data[i + 6]]
new_list.extend(new)
elif format == "euler":
for i in range(0, len(_data), 6):
rw, rx, ry, rz = tfs.euler.euler2quat(_data[i + 3], _data[i + 4], _data[i + 5], axes='sxyz')
if mm2m:
new = [_data[i], _data[i + 1], _data[i + 2], rw, rx, ry, rz]
else:
new = [_data[i]/1e3, _data[i + 1]/1e3, _data[i + 2]/1e3, rw, rx, ry, rz]
new_list.extend(new)
elif format == "rotvertor":
for i in range(0, len(_data), 6):
tfs.quaternions.rotvec2quat
if mm2m:
new = [_data[i], _data[i + 1], _data[i + 2], _data[i + 3], _data[i + 4], _data[i + 5]]
else:
new = [_data[i]/1e3, _data[i + 1]/1e3, _data[i + 2]/1e3, _data[i + 6], _data[i + 3], _data[i + 4], _data[i + 5]]
new_list.extend(new)
else: pass
with open(save_path, 'w') as f: json.dump(new_list, f, indent=4)