Created
November 23, 2018 12:10
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Pose will bring point in world into camera coordinate, [R|t]=[R|-RC] R rotate camera to world coordinate, C is camara in world coordinate, and t is world origin in camera coordinate.
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""" | |
Camera pose=[R|t]=[R|-RC], R: rotate camera to world, C: camera in world, t: world origin in camera coordinate. | |
""" | |
import transforms3d | |
import math | |
import numpy as np | |
def pitch_yaw_roll_C_apply_point(pitch, yaw, roll, C, p_w): | |
# pitch, yaw, roll = 10, 20, 30 | |
# x, y, z = 0, 90, 0 | |
x=math.radians(pitch) | |
y=math.radians(yaw) | |
z=math.radians(roll) | |
R_w2c = transforms3d.euler.euler2mat(x, y, z, axes='rxyz') | |
R_c2w = R_w2c.T | |
C = np.array(C).reshape(3, 1) | |
t = -np.dot(R_c2w, C) | |
p_w = np.array(p_w).reshape(3, 1) | |
p_c = np.dot(R_c2w, p_w)+t | |
return t, p_c | |
if __name__ == '__main__': | |
pitch, yaw, roll, C = 0, 90, 0, [10, 0, 0] | |
p_w = [0, 0, 10] | |
t, p_c = pitch_yaw_roll_C_apply_point(pitch, yaw, roll, C, p_w) | |
assert np.allclose(t.flatten(), [0, 0, -10]) | |
assert np.allclose(p_c.flatten(), [-10, 0, -10]) | |
pitch, yaw, roll, C = 90, 0, -90, [10, 0, 0] | |
p_w = [0, 0, 10] | |
t, p_c = pitch_yaw_roll_C_apply_point(pitch, yaw, roll, C, p_w) | |
assert np.allclose(t.flatten(), [0, -10, 0]) | |
assert np.allclose(p_c.flatten(), [-10, -10, 0]) |
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