# Copyright 2020 Toyota Research Institute. All rights reserved. # Adapted from: https://github.com/rpautrat/SuperPoint/blob/master/superpoint/evaluations/detector_evaluation.py import random from glob import glob from os import path as osp import cv2 import numpy as np from utils import warp_keypoints def compute_repeatability(data, keep_k_points=300, distance_thresh=3): """ Compute the repeatability metric between 2 sets of keypoints inside data. Parameters ---------- data: dict Input dictionary containing: image_shape: tuple (H,W) Original image shape. homography: numpy.ndarray (3,3) Ground truth homography. prob: numpy.ndarray (N,3) Keypoint vector, consisting of (x,y,probability). warped_prob: numpy.ndarray (N,3) Warped keypoint vector, consisting of (x,y,probability). keep_k_points: int Number of keypoints to select, based on probability. distance_thresh: int Distance threshold in pixels for a corresponding keypoint to be considered a correct match. Returns ------- N1: int Number of true keypoints in the first image. N2: int Number of true keypoints in the second image. repeatability: float Keypoint repeatability metric. loc_err: float Keypoint localization error. """ def filter_keypoints(points, shape): """Keep only the points whose coordinates are inside the dimensions of shape.""" mask = ( (points[:, 0] >= 0) & (points[:, 0] < shape[0]) & (points[:, 1] >= 0) & (points[:, 1] < shape[1]) ) return points[mask, :] def keep_true_keypoints(points, H, shape): """Keep only the points whose warped coordinates by H are still inside shape.""" warped_points = warp_keypoints(points[:, [1, 0]], H) warped_points[:, [0, 1]] = warped_points[:, [1, 0]] mask = ( (warped_points[:, 0] >= 0) & (warped_points[:, 0] < shape[0]) & (warped_points[:, 1] >= 0) & (warped_points[:, 1] < shape[1]) ) return points[mask, :] def select_k_best(points, k): """Select the k most probable points (and strip their probability). points has shape (num_points, 3) where the last coordinate is the probability.""" sorted_prob = points[points[:, 2].argsort(), :2] start = min(k, points.shape[0]) return sorted_prob[-start:, :] H = data["homography"] shape = data["image_shape"] # # Filter out predictions keypoints = data["prob"][:, :2].T keypoints = keypoints[::-1] prob = data["prob"][:, 2] warped_keypoints = data["warped_prob"][:, :2].T warped_keypoints = warped_keypoints[::-1] warped_prob = data["warped_prob"][:, 2] keypoints = np.stack([keypoints[0], keypoints[1]], axis=-1) warped_keypoints = np.stack( [warped_keypoints[0], warped_keypoints[1], warped_prob], axis=-1 ) warped_keypoints = keep_true_keypoints(warped_keypoints, np.linalg.inv(H), shape) # Warp the original keypoints with the true homography true_warped_keypoints = warp_keypoints(keypoints[:, [1, 0]], H) true_warped_keypoints = np.stack( [true_warped_keypoints[:, 1], true_warped_keypoints[:, 0], prob], axis=-1 ) true_warped_keypoints = filter_keypoints(true_warped_keypoints, shape) # Keep only the keep_k_points best predictions warped_keypoints = select_k_best(warped_keypoints, keep_k_points) true_warped_keypoints = select_k_best(true_warped_keypoints, keep_k_points) # Compute the repeatability N1 = true_warped_keypoints.shape[0] N2 = warped_keypoints.shape[0] true_warped_keypoints = np.expand_dims(true_warped_keypoints, 1) warped_keypoints = np.expand_dims(warped_keypoints, 0) # shapes are broadcasted to N1 x N2 x 2: norm = np.linalg.norm(true_warped_keypoints - warped_keypoints, ord=None, axis=2) count1 = 0 count2 = 0 le1 = 0 le2 = 0 if N2 != 0: min1 = np.min(norm, axis=1) correct1 = min1 <= distance_thresh count1 = np.sum(correct1) le1 = min1[correct1].sum() if N1 != 0: min2 = np.min(norm, axis=0) correct2 = min2 <= distance_thresh count2 = np.sum(correct2) le2 = min2[correct2].sum() if N1 + N2 > 0: repeatability = (count1 + count2) / (N1 + N2) loc_err = (le1 + le2) / (count1 + count2) else: repeatability = -1 loc_err = -1 return N1, N2, repeatability, loc_err