| | |
| | | import numpy as np |
| | | import os, sys |
| | | import math |
| | | # # add python path of src to sys.path |
| | | # src_path = os.path.join(__file__, *(['..'] * 2)) |
| | | # src_path = os.path.abspath(src_path) |
| | |
| | | # Rz_gamma = [[np.cos(gamma),np.sin(gamma),0],[-np.sin(gamma),np.cos(gamma),0],[0,0,1]] |
| | | |
| | | |
| | | def get_rotation_matrix(alpha_degree,beta_degree,gamma_degree,verbose=0): |
| | | def get_rotation_matrix(alpha_degree,beta_degree,gamma_degree,order = "x_y_z",verbose=0): |
| | | """generate a rotation matrix from the specific angel |
| | | """ |
| | | |
| | | rad_list = [] |
| | | for i, angle in enumerate([alpha_degree,beta_degree,gamma_degree]): |
| | | |
| | | if np.abs(float(angle))>360: |
| | | raise ValueError(f"incorrect angle value: value in [-360,360] is excepted, but {angle} is offered.") |
| | | rad_list.append(np.pi * float(angle) / 180) |
| | | rad_list.append(math.radians(angle)) |
| | | |
| | | alpha = rad_list[0] |
| | | Rx_alpha = np.matrix([[1,0,0], |
| | |
| | | Rz_gamma = np.matrix([[np.cos(gamma),np.sin(gamma),0], |
| | | [-np.sin(gamma),np.cos(gamma),0], |
| | | [0,0,1]]) |
| | | |
| | | rotation_matrix = Rx_alpha * Ry_beta * Rz_gamma |
| | | |
| | | R_dic = {"x":Rx_alpha, |
| | | "y":Ry_beta, |
| | | "z":Rz_gamma |
| | | } |
| | | |
| | | for i, s in enumerate(order.split("_")): |
| | | if i == 0: |
| | | rotation_matrix = R_dic[s] |
| | | else: |
| | | rotation_matrix = R_dic[s] * rotation_matrix |
| | | if verbose == 1: |
| | | print(f"\n{alpha_degree}, rad {alpha}, Rx_alpha \n", Rx_alpha) |
| | | print(f"\n{beta_degree}, {beta}, Ry_beta \n", Ry_beta) |
| | | print(f"\n{gamma_degree}, {gamma}, Rz_gamma\n",Rz_gamma) |
| | | print(f"\n{beta_degree}, rad {beta}, Ry_beta \n", Ry_beta) |
| | | print(f"\n{gamma_degree}, rad {gamma}, Rz_gamma\n",Rz_gamma) |
| | | print("\n rotation matrix\n",rotation_matrix) |
| | | else: |
| | | pass |
| | |
| | | # z = (X * Y^T)^T = (Y * X^T) |
| | | # np.matmul(rotation_matrix,ply.transpose()).transpose() == np.matmul(ply,rotation_matrix) |
| | | rotation_matrix = get_rotation_matrix(alpha,beta,gamma) |
| | | rotated_ply = np.matmul(ply,rotation_matrix) |
| | | rotated_ply = np.matmul(ply,rotation_matrix.transpose()) |
| | | # 转为右手坐标系 |
| | | if reverse: |
| | | rotated_ply[:,-1] = -rotated_ply.copy()[:,-1] |
| | |
| | | moved_data = data + np.array([x,y,z]) |
| | | # 旋转 |
| | | rotation_matrix = get_rotation_matrix(-alpha,-beta,-gamma) |
| | | rotated_data = np.matmul(moved_data,rotation_matrix) |
| | | rotated_data = np.matmul(moved_data,rotation_matrix.transpose()) |
| | | |
| | | # 左右手坐标系转换, 使用z轴转换 |
| | | |
| | |
| | | |
| | | # z = (X * Y^T)^T = (Y * X^T) |
| | | # np.matmul(rotation_matrix,ply.transpose()).transpose() == np.matmul(ply,rotation_matrix) |
| | | rotated_ply = np.matmul(ply,rotation_matrix) |
| | | rotated_ply = np.matmul(ply,rotation_matrix.transpose()) |
| | | if i == 0: |
| | | merged_ply_array = rotated_ply.copy() |
| | | else: |