import numpy as np from tqdm import tqdm def getError(posx, posq, actualx, actualq): """ Calculates the position and rotation error """ q1 = actualq / np.linalg.norm(actualq) q2 = posq / np.linalg.norm(posq) d = abs(np.sum(np.multiply(q1, q2))) theta = 2 * np.arccos(d) * 180 / np.pi errx = np.linalg.norm(actualx - posx) return errx, theta # See https://answers.ros.org/question/388140/converting-a-rotation-matrix-to-quaternions-in-python/ ------------ # def rotationMatrixToQuaternion(m): """ Takes a rotation matrix and converts it to the corresponding quaternions """ t = np.matrix.trace(m) q = np.asarray([0.0, 0.0, 0.0, 0.0], dtype=np.float64) if t > 0: t = np.sqrt(t + 1) q[3] = 0.5 * t t = 0.5/t q[0] = (m[2, 1] - m[1, 2]) * t q[1] = (m[0, 2] - m[2, 0]) * t q[2] = (m[1, 0] - m[0, 1]) * t else: i = 0 if m[1, 1] > m[0, 0]: i = 1 if m[2, 2] > m[i, i]: i = 2 j = (i+1) % 3 k = (j+1) % 3 t = np.sqrt(m[i, i] - m[j, j] - m[k, k] + 1) q[i] = 0.5 * t t = 0.5 / t q[3] = (m[k, j] - m[j, k]) * t q[j] = (m[j, i] + m[i, j]) * t q[k] = (m[k, i] + m[i, k]) * t return q # ------------------------------------------------------------------------------------------------------------------- # # See https://automaticaddison.com/how-to-convert-a-quaternion-to-a-rotation-matrix/ ---------------------------- # def quaternion_rotation_matrix(Q): """ Covert a quaternion into a full three-dimensional rotation matrix. Input :param Q: A 4 element array representing the quaternion (q0,q1,q2,q3) Output :return: A 3x3 element matrix representing the full 3D rotation matrix. This rotation matrix converts a point in the local reference frame to a point in the global reference frame. """ # Extract the values from Q q0 = Q[0] q1 = Q[1] q2 = Q[2] q3 = Q[3] # First row of the rotation matrix r00 = 2 * (q0 * q0 + q1 * q1) - 1 r01 = 2 * (q1 * q2 - q0 * q3) r02 = 2 * (q1 * q3 + q0 * q2) # Second row of the rotation matrix r10 = 2 * (q1 * q2 + q0 * q3) r11 = 2 * (q0 * q0 + q2 * q2) - 1 r12 = 2 * (q2 * q3 - q0 * q1) # Third row of the rotation matrix r20 = 2 * (q1 * q3 - q0 * q2) r21 = 2 * (q2 * q3 + q0 * q1) r22 = 2 * (q0 * q0 + q3 * q3) - 1 # 3x3 rotation matrix rot_matrix = np.array([[r00, r01, r02], [r10, r11, r12], [r20, r21, r22]]) return rot_matrix # ------------------------------------------------------------------------------------------------------------------- # def get_training_data(dataset_abs, dataset_rel, backrot=False): """ Reads in the predicted absolute/relative pos/rotation data as well as the ground truth """ print(dataset_abs, dataset_rel) fnames_abs = [] lab_abs = [] pred_abs = [] # Read in the predicted absolute pos/rotation data and the ground truth with open(dataset_abs, "r") as f: for line in tqdm(f): fname = int(line.split(",")[0].split("frame_")[1].split(".png")[0]) label = line.split("Label: ")[1].split(" Prediction")[0] pred = line.split("Prediction: ")[1].split("\n")[0] label_val = [float(x.split(": ")[1]) for x in label.split(", ")] pred_val = [float(x.split(": ")[1]) for x in pred.split(", ")] fnames_abs.append(fname) lab_abs.append(label_val) pred_abs.append(pred_val) lab_abs = np.array(lab_abs) pred_abs = np.array(pred_abs) fnames_rel = [] lab_rel = [] pred_rel = [] # Read in the predicted relative pos/rotation data with open(dataset_rel, "r") as f: for line in tqdm(f): fname = int(line.split(",")[0].split("frame_")[1].split(".npy")[0]) label = line.split("Label: ")[1].split(" Prediction")[0] pred = line.split("Prediction: ")[1].split("\n")[0] label_val = [float(x.split(": ")[1]) for x in label.split(", ")] pred_val = [float(x.split(": ")[1]) for x in pred.split(", ")] fnames_rel.append(fname) lab_rel.append(label_val) pred_rel.append(pred_val) lab_rel = np.array(lab_rel) pred_rel = np.array(pred_rel) abs_frames = [] rel_frames = [] abs_counter = 0 rel_counter = 0 # compares the names of the absolute and relative frames and ensures, that they are matched correctly while abs_counter < len(fnames_abs) and rel_counter < len(fnames_rel): if fnames_abs[abs_counter] == fnames_rel[rel_counter]: abs_frames.append(abs_counter) rel_frames.append(rel_counter) abs_counter += 1 rel_counter += 1 elif fnames_abs[abs_counter] > fnames_rel[rel_counter]: rel_counter += 1 else: abs_counter += 1 abs_frames = np.array(abs_frames) rel_frames = np.array(rel_frames) lab_abs = lab_abs[abs_frames] pred_abs = pred_abs[abs_frames] lab_rel = lab_rel[rel_frames] pred_rel = pred_rel[rel_frames] # if True, rotate the relative translation data from the perspective of the current image # back to the world coordinate if backrot: for i in range(len(pred_rel)): pred_rel[i][:3] = quaternion_rotation_matrix(pred_abs[i][-4:]).T @ pred_rel[i][:3] # Remove outside of area values at the beginning ---- # for j in range(2): if pred_abs[0, j] < -1 or pred_abs[0, j] > 46: pred_abs[0, j] = 0 if pred_abs[0, 2] < -1 or pred_abs[0, 2] > 8: pred_abs[0, 2] = 0 # Replace any outside of area values with the values of the previous step ---- # for i in range(len(pred_abs)): for j in range(2): if pred_abs[i, j] < -1 or pred_abs[i, j] > 46: pred_abs[i, j] = pred_abs[i - 1, j] if pred_abs[i, 2] < -1 or pred_abs[i, 2] > 8: pred_abs[i, 2] = pred_abs[i - 1, 2] # ---------------------------------- # # --- Check Error --- # # sanity check to see if the predicted values and ground truth values are aligned correctly errxs = [] thetas = [] for i in range(len(lab_abs)): posx = pred_abs[i][:3] posq = pred_abs[i][3:] actualx = lab_abs[i][:3] actualq = lab_abs[i][3:] errx, theta = getError(posx, posq, actualx, actualq) errxs.append(errx) thetas.append(theta) print(np.median(errxs), np.median(thetas)) # ------------------- # return pred_abs, pred_rel, lab_abs, lab_rel def limited_gen_data(pred_abs, pred_rel, gt_abs, gt_rel, time_size): """ Yields the input/ground truth data in batches of size 1. Can be used for evaluating the test dataset""" indices = range(1, len(pred_abs) + 1) for i in indices: if i >= time_size: input_data = np.concatenate([pred_abs[i - time_size: i], pred_rel[i - time_size: i]], axis=1) else: input_data = np.zeros((time_size, 14)) input_data[-i:] = np.concatenate([pred_abs[:i], pred_rel[:i]], axis=1) output_data_x = gt_abs[i-1, :3] output_data_q = gt_abs[i-1, 3:] yield input_data, output_data_x, output_data_q def gen_data(pred_abs, pred_rel, gt_abs, gt_rel, time_size): """ Data generator that randomly shuffles the training data and yields them as single elements. """ while True: indices = list(range(1, len(pred_abs) + 1)) np.random.shuffle(indices) for i in indices: if i >= time_size: input_data = np.concatenate([pred_abs[i - time_size: i], pred_rel[i - time_size: i]], axis=1) else: input_data = np.zeros((time_size, 14)) input_data[-i:] = np.concatenate([pred_abs[:i], pred_rel[:i]], axis=1) output_data_x = gt_abs[i-1, :3] output_data_q = gt_abs[i-1, 3:] yield input_data, output_data_x, output_data_q def gen_data_batch(pred_abs, pred_rel, gt_abs, gt_rel, batchSize, time_size): """ Uses the gen_data and yields batches of the size batchSize. """ data_gen = gen_data(pred_abs, pred_rel, gt_abs, gt_rel, time_size) while True: image_batch = [] pose_x_batch = [] pose_q_batch = [] for _ in range(batchSize): image, pose_x, pose_q = next(data_gen) image_batch.append(image) pose_x_batch.append(pose_x) pose_q_batch.append(pose_q) yield np.asarray(image_batch).astype("float32"),\ np.concatenate([pose_x_batch, pose_q_batch], axis=1).astype("float32")