import numpy as np from scipy.spatial.transform import Rotation as R class LatticeParam(): def __init__(self, cfg): self.vel_max = cfg["vel_max"] segment_time = 2 * cfg["radio_range"] / self.vel_max self.horizon_num = cfg["horizon_num"] self.vertical_num = cfg["vertical_num"] self.radio_num = cfg["radio_num"] self.vel_num = cfg["vel_num"] self.horizon_fov = cfg["horizon_camera_fov"] * (self.horizon_num - 1) / self.horizon_num self.vertical_fov = cfg["vertical_camera_fov"] * (self.vertical_num - 1) / self.vertical_num self.horizon_anchor_fov = cfg["horizon_anchor_fov"] self.vertical_anchor_fov = cfg["vertical_anchor_fov"] self.radio_range = cfg["radio_range"] self.vel_fov = cfg["vel_fov"] self.vel_prefile = cfg["vel_prefile"] self.acc_max = self.vel_max / segment_time print("---------------------") print("| max speed = ", round(self.vel_max, 1), " |") print("| traj time = ", round(segment_time, 1), " |") print("| max radio = ", round(2 * self.radio_range, 1), " |") print("---------------------") # ID in images: # [8, 7, 6, # 5, 4, 3, # 2, 1, 0] class LatticePrimitive(): def __init__(self, LatticeParam): self.lattice_param = LatticeParam if self.lattice_param.horizon_num == 1: direction_diff = 0 else: direction_diff = (self.lattice_param.horizon_fov / 180.0 * np.pi) / (self.lattice_param.horizon_num - 1) if self.lattice_param.vertical_num == 1: altitude_diff = 0 else: altitude_diff = (self.lattice_param.vertical_fov / 180.0 * np.pi) / (self.lattice_param.vertical_num - 1) radio_diff = self.lattice_param.radio_range / self.lattice_param.radio_num if self.lattice_param.vel_num == 1: vel_dir_diff = 0 else: vel_dir_diff = (self.lattice_param.vel_fov / 180.0 * np.pi) / (self.lattice_param.vel_num - 1) lattice_pos_list = [] lattice_vel_list = [] lattice_angle_list = [] self.lattice_Rbp_list = [] # Primitives: Bottom to Top, Right to Left # We retain the code of sampling primitives with different velocity directions and length, # hope to predict multiple outputs in each grid like YOLO, but it does not work well. for h in range(0, self.lattice_param.radio_num): for i in range(0, self.lattice_param.vertical_num): for j in range(0, self.lattice_param.horizon_num): for k in range(0, self.lattice_param.vel_num): search_radio = (h + 1) * radio_diff alpha = -direction_diff * (self.lattice_param.horizon_num - 1) / 2 + j * direction_diff beta = -altitude_diff * (self.lattice_param.vertical_num - 1) / 2 + i * altitude_diff gamma = -vel_dir_diff * (self.lattice_param.vel_num - 1) / 2 + k * vel_dir_diff pos_node = [np.cos(beta) * np.cos(alpha) * search_radio, np.cos(beta) * np.sin(alpha) * search_radio, np.sin(beta) * search_radio] vel_node = [np.cos(alpha + gamma) * self.lattice_param.vel_prefile, np.sin(alpha + gamma) * self.lattice_param.vel_prefile, 0.0] lattice_pos_list.append(pos_node) lattice_vel_list.append(vel_node) lattice_angle_list.append([alpha, beta]) # inner rotation: yaw-pitch-roll Rotation = R.from_euler('ZYX', [alpha, -beta, 0.0], degrees=False) self.lattice_Rbp_list.append(Rotation.as_matrix().astype(np.float32)) self.lattice_pos_node = np.array(lattice_pos_list) self.lattice_vel_node = np.array(lattice_vel_list) self.lattice_angle_node = np.array(lattice_angle_list) self.yaw_diff = 0.5 * self.lattice_param.horizon_anchor_fov / 180.0 * np.pi self.pitch_diff = 0.5 * self.lattice_param.vertical_anchor_fov / 180.0 * np.pi def getStateLattice(self, id): return self.lattice_pos_node[id, :], self.lattice_vel_node[id, :] # yaw, pitch def getAngleLattice(self, id): return self.lattice_angle_node[id, 0], self.lattice_angle_node[id, 1] def getRotation(self, id): return self.lattice_Rbp_list[id] """ From body to world p_w = Rwb * p_b + t_w """ def rotate(q_wb, pos_b): # quat: wxzy pos_w = np.zeros_like(pos_b) if q_wb.ndim == 1: Rotation_wb = R.from_quat([q_wb[1], q_wb[2], q_wb[3], q_wb[0]]) # xyzw pos_w[:] = np.dot(Rotation_wb.as_matrix(), pos_b[:]) else: for i in range(0, q_wb.shape[0]): Rotation_wb = R.from_quat([q_wb[i, 1], q_wb[i, 2], q_wb[i, 3], q_wb[i, 0]]) # xyzw pos_w[i, :] = np.dot(Rotation_wb.as_matrix(), pos_b[i, :]) return pos_w def transform(q_wb, tw, pos_b): pos_w = rotate(q_wb, pos_b) return pos_w + tw """ From world to body p_b = Rbw * (p_w - t_w) """ def rotate_inv(q_wb, pos_w): # quat: wxzy pos_b = np.zeros_like(pos_w) if q_wb.ndim == 1: Rotation_bw = R.from_quat([-q_wb[1], -q_wb[2], -q_wb[3], q_wb[0]]) # xyzw pos_b[:] = np.dot(Rotation_bw.as_matrix(), pos_w[:]) else: for i in range(0, q_wb.shape[0]): Rotation_bw = R.from_quat([-q_wb[i, 1], -q_wb[i, 2], -q_wb[i, 3], q_wb[i, 0]]) # xyzw pos_b[i, :] = np.dot(Rotation_bw.as_matrix(), pos_w[i, :]) return pos_b def transform_inv(q_wb, tw, pos_w): pos_b = rotate_inv(q_wb, pos_w - tw) return pos_b