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author | Matt A. Tobin <email@mattatobin.com> | 2020-04-07 23:30:51 -0400 |
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committer | wolfbeast <mcwerewolf@wolfbeast.com> | 2020-04-14 13:26:42 +0200 |
commit | 277f2116b6660e9bbe7f5d67524be57eceb49b8b (patch) | |
tree | 4595f7cc71418f71b9a97dfaeb03a30aa60f336a /third_party/aom/av1/encoder/ransac.c | |
parent | d270404436f6e84ffa3b92af537ac721bf10d66e (diff) | |
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Move aom source to a sub-directory under media/libaom
There is no damned reason to treat this differently than any other media lib given its license and there never was.
Diffstat (limited to 'third_party/aom/av1/encoder/ransac.c')
-rw-r--r-- | third_party/aom/av1/encoder/ransac.c | 603 |
1 files changed, 0 insertions, 603 deletions
diff --git a/third_party/aom/av1/encoder/ransac.c b/third_party/aom/av1/encoder/ransac.c deleted file mode 100644 index 781f528eb..000000000 --- a/third_party/aom/av1/encoder/ransac.c +++ /dev/null @@ -1,603 +0,0 @@ -/* - * Copyright (c) 2016, Alliance for Open Media. All rights reserved - * - * This source code is subject to the terms of the BSD 2 Clause License and - * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License - * was not distributed with this source code in the LICENSE file, you can - * obtain it at www.aomedia.org/license/software. If the Alliance for Open - * Media Patent License 1.0 was not distributed with this source code in the - * PATENTS file, you can obtain it at www.aomedia.org/license/patent. - */ -#include <memory.h> -#include <math.h> -#include <time.h> -#include <stdio.h> -#include <stdlib.h> -#include <assert.h> - -#include "av1/encoder/ransac.h" -#include "av1/encoder/mathutils.h" -#include "av1/encoder/random.h" - -#define MAX_MINPTS 4 -#define MAX_DEGENERATE_ITER 10 -#define MINPTS_MULTIPLIER 5 - -#define INLIER_THRESHOLD 1.0 -#define MIN_TRIALS 20 - -//////////////////////////////////////////////////////////////////////////////// -// ransac -typedef int (*IsDegenerateFunc)(double *p); -typedef void (*NormalizeFunc)(double *p, int np, double *T); -typedef void (*DenormalizeFunc)(double *params, double *T1, double *T2); -typedef int (*FindTransformationFunc)(int points, double *points1, - double *points2, double *params); -typedef void (*ProjectPointsDoubleFunc)(double *mat, double *points, - double *proj, const int n, - const int stride_points, - const int stride_proj); - -static void project_points_double_translation(double *mat, double *points, - double *proj, const int n, - const int stride_points, - const int stride_proj) { - int i; - for (i = 0; i < n; ++i) { - const double x = *(points++), y = *(points++); - *(proj++) = x + mat[0]; - *(proj++) = y + mat[1]; - points += stride_points - 2; - proj += stride_proj - 2; - } -} - -static void project_points_double_rotzoom(double *mat, double *points, - double *proj, const int n, - const int stride_points, - const int stride_proj) { - int i; - for (i = 0; i < n; ++i) { - const double x = *(points++), y = *(points++); - *(proj++) = mat[2] * x + mat[3] * y + mat[0]; - *(proj++) = -mat[3] * x + mat[2] * y + mat[1]; - points += stride_points - 2; - proj += stride_proj - 2; - } -} - -static void project_points_double_affine(double *mat, double *points, - double *proj, const int n, - const int stride_points, - const int stride_proj) { - int i; - for (i = 0; i < n; ++i) { - const double x = *(points++), y = *(points++); - *(proj++) = mat[2] * x + mat[3] * y + mat[0]; - *(proj++) = mat[4] * x + mat[5] * y + mat[1]; - points += stride_points - 2; - proj += stride_proj - 2; - } -} - -static void normalize_homography(double *pts, int n, double *T) { - double *p = pts; - double mean[2] = { 0, 0 }; - double msqe = 0; - double scale; - int i; - - assert(n > 0); - for (i = 0; i < n; ++i, p += 2) { - mean[0] += p[0]; - mean[1] += p[1]; - } - mean[0] /= n; - mean[1] /= n; - for (p = pts, i = 0; i < n; ++i, p += 2) { - p[0] -= mean[0]; - p[1] -= mean[1]; - msqe += sqrt(p[0] * p[0] + p[1] * p[1]); - } - msqe /= n; - scale = (msqe == 0 ? 1.0 : sqrt(2) / msqe); - T[0] = scale; - T[1] = 0; - T[2] = -scale * mean[0]; - T[3] = 0; - T[4] = scale; - T[5] = -scale * mean[1]; - T[6] = 0; - T[7] = 0; - T[8] = 1; - for (p = pts, i = 0; i < n; ++i, p += 2) { - p[0] *= scale; - p[1] *= scale; - } -} - -static void invnormalize_mat(double *T, double *iT) { - double is = 1.0 / T[0]; - double m0 = -T[2] * is; - double m1 = -T[5] * is; - iT[0] = is; - iT[1] = 0; - iT[2] = m0; - iT[3] = 0; - iT[4] = is; - iT[5] = m1; - iT[6] = 0; - iT[7] = 0; - iT[8] = 1; -} - -static void denormalize_homography(double *params, double *T1, double *T2) { - double iT2[9]; - double params2[9]; - invnormalize_mat(T2, iT2); - multiply_mat(params, T1, params2, 3, 3, 3); - multiply_mat(iT2, params2, params, 3, 3, 3); -} - -static void denormalize_affine_reorder(double *params, double *T1, double *T2) { - double params_denorm[MAX_PARAMDIM]; - params_denorm[0] = params[0]; - params_denorm[1] = params[1]; - params_denorm[2] = params[4]; - params_denorm[3] = params[2]; - params_denorm[4] = params[3]; - params_denorm[5] = params[5]; - params_denorm[6] = params_denorm[7] = 0; - params_denorm[8] = 1; - denormalize_homography(params_denorm, T1, T2); - params[0] = params_denorm[2]; - params[1] = params_denorm[5]; - params[2] = params_denorm[0]; - params[3] = params_denorm[1]; - params[4] = params_denorm[3]; - params[5] = params_denorm[4]; - params[6] = params[7] = 0; -} - -static void denormalize_rotzoom_reorder(double *params, double *T1, - double *T2) { - double params_denorm[MAX_PARAMDIM]; - params_denorm[0] = params[0]; - params_denorm[1] = params[1]; - params_denorm[2] = params[2]; - params_denorm[3] = -params[1]; - params_denorm[4] = params[0]; - params_denorm[5] = params[3]; - params_denorm[6] = params_denorm[7] = 0; - params_denorm[8] = 1; - denormalize_homography(params_denorm, T1, T2); - params[0] = params_denorm[2]; - params[1] = params_denorm[5]; - params[2] = params_denorm[0]; - params[3] = params_denorm[1]; - params[4] = -params[3]; - params[5] = params[2]; - params[6] = params[7] = 0; -} - -static void denormalize_translation_reorder(double *params, double *T1, - double *T2) { - double params_denorm[MAX_PARAMDIM]; - params_denorm[0] = 1; - params_denorm[1] = 0; - params_denorm[2] = params[0]; - params_denorm[3] = 0; - params_denorm[4] = 1; - params_denorm[5] = params[1]; - params_denorm[6] = params_denorm[7] = 0; - params_denorm[8] = 1; - denormalize_homography(params_denorm, T1, T2); - params[0] = params_denorm[2]; - params[1] = params_denorm[5]; - params[2] = params[5] = 1; - params[3] = params[4] = 0; - params[6] = params[7] = 0; -} - -static int find_translation(int np, double *pts1, double *pts2, double *mat) { - int i; - double sx, sy, dx, dy; - double sumx, sumy; - - double T1[9], T2[9]; - normalize_homography(pts1, np, T1); - normalize_homography(pts2, np, T2); - - sumx = 0; - sumy = 0; - for (i = 0; i < np; ++i) { - dx = *(pts2++); - dy = *(pts2++); - sx = *(pts1++); - sy = *(pts1++); - - sumx += dx - sx; - sumy += dy - sy; - } - mat[0] = sumx / np; - mat[1] = sumy / np; - denormalize_translation_reorder(mat, T1, T2); - return 0; -} - -static int find_rotzoom(int np, double *pts1, double *pts2, double *mat) { - const int np2 = np * 2; - double *a = (double *)aom_malloc(sizeof(*a) * (np2 * 5 + 20)); - double *b = a + np2 * 4; - double *temp = b + np2; - int i; - double sx, sy, dx, dy; - - double T1[9], T2[9]; - normalize_homography(pts1, np, T1); - normalize_homography(pts2, np, T2); - - for (i = 0; i < np; ++i) { - dx = *(pts2++); - dy = *(pts2++); - sx = *(pts1++); - sy = *(pts1++); - - a[i * 2 * 4 + 0] = sx; - a[i * 2 * 4 + 1] = sy; - a[i * 2 * 4 + 2] = 1; - a[i * 2 * 4 + 3] = 0; - a[(i * 2 + 1) * 4 + 0] = sy; - a[(i * 2 + 1) * 4 + 1] = -sx; - a[(i * 2 + 1) * 4 + 2] = 0; - a[(i * 2 + 1) * 4 + 3] = 1; - - b[2 * i] = dx; - b[2 * i + 1] = dy; - } - if (!least_squares(4, a, np2, 4, b, temp, mat)) { - aom_free(a); - return 1; - } - denormalize_rotzoom_reorder(mat, T1, T2); - aom_free(a); - return 0; -} - -static int find_affine(int np, double *pts1, double *pts2, double *mat) { - const int np2 = np * 2; - double *a = (double *)aom_malloc(sizeof(*a) * (np2 * 7 + 42)); - double *b = a + np2 * 6; - double *temp = b + np2; - int i; - double sx, sy, dx, dy; - - double T1[9], T2[9]; - normalize_homography(pts1, np, T1); - normalize_homography(pts2, np, T2); - - for (i = 0; i < np; ++i) { - dx = *(pts2++); - dy = *(pts2++); - sx = *(pts1++); - sy = *(pts1++); - - a[i * 2 * 6 + 0] = sx; - a[i * 2 * 6 + 1] = sy; - a[i * 2 * 6 + 2] = 0; - a[i * 2 * 6 + 3] = 0; - a[i * 2 * 6 + 4] = 1; - a[i * 2 * 6 + 5] = 0; - a[(i * 2 + 1) * 6 + 0] = 0; - a[(i * 2 + 1) * 6 + 1] = 0; - a[(i * 2 + 1) * 6 + 2] = sx; - a[(i * 2 + 1) * 6 + 3] = sy; - a[(i * 2 + 1) * 6 + 4] = 0; - a[(i * 2 + 1) * 6 + 5] = 1; - - b[2 * i] = dx; - b[2 * i + 1] = dy; - } - if (!least_squares(6, a, np2, 6, b, temp, mat)) { - aom_free(a); - return 1; - } - denormalize_affine_reorder(mat, T1, T2); - aom_free(a); - return 0; -} - -static int get_rand_indices(int npoints, int minpts, int *indices, - unsigned int *seed) { - int i, j; - int ptr = lcg_rand16(seed) % npoints; - if (minpts > npoints) return 0; - indices[0] = ptr; - ptr = (ptr == npoints - 1 ? 0 : ptr + 1); - i = 1; - while (i < minpts) { - int index = lcg_rand16(seed) % npoints; - while (index) { - ptr = (ptr == npoints - 1 ? 0 : ptr + 1); - for (j = 0; j < i; ++j) { - if (indices[j] == ptr) break; - } - if (j == i) index--; - } - indices[i++] = ptr; - } - return 1; -} - -typedef struct { - int num_inliers; - double variance; - int *inlier_indices; -} RANSAC_MOTION; - -// Return -1 if 'a' is a better motion, 1 if 'b' is better, 0 otherwise. -static int compare_motions(const void *arg_a, const void *arg_b) { - const RANSAC_MOTION *motion_a = (RANSAC_MOTION *)arg_a; - const RANSAC_MOTION *motion_b = (RANSAC_MOTION *)arg_b; - - if (motion_a->num_inliers > motion_b->num_inliers) return -1; - if (motion_a->num_inliers < motion_b->num_inliers) return 1; - if (motion_a->variance < motion_b->variance) return -1; - if (motion_a->variance > motion_b->variance) return 1; - return 0; -} - -static int is_better_motion(const RANSAC_MOTION *motion_a, - const RANSAC_MOTION *motion_b) { - return compare_motions(motion_a, motion_b) < 0; -} - -static void copy_points_at_indices(double *dest, const double *src, - const int *indices, int num_points) { - for (int i = 0; i < num_points; ++i) { - const int index = indices[i]; - dest[i * 2] = src[index * 2]; - dest[i * 2 + 1] = src[index * 2 + 1]; - } -} - -static const double kInfiniteVariance = 1e12; - -static void clear_motion(RANSAC_MOTION *motion, int num_points) { - motion->num_inliers = 0; - motion->variance = kInfiniteVariance; - memset(motion->inlier_indices, 0, - sizeof(*motion->inlier_indices * num_points)); -} - -static int ransac(const int *matched_points, int npoints, - int *num_inliers_by_motion, double *params_by_motion, - int num_desired_motions, const int minpts, - IsDegenerateFunc is_degenerate, - FindTransformationFunc find_transformation, - ProjectPointsDoubleFunc projectpoints) { - static const double PROBABILITY_REQUIRED = 0.9; - static const double EPS = 1e-12; - - int N = 10000, trial_count = 0; - int i = 0; - int ret_val = 0; - - unsigned int seed = (unsigned int)npoints; - - int indices[MAX_MINPTS] = { 0 }; - - double *points1, *points2; - double *corners1, *corners2; - double *image1_coord; - - // Store information for the num_desired_motions best transformations found - // and the worst motion among them, as well as the motion currently under - // consideration. - RANSAC_MOTION *motions, *worst_kept_motion = NULL; - RANSAC_MOTION current_motion; - - // Store the parameters and the indices of the inlier points for the motion - // currently under consideration. - double params_this_motion[MAX_PARAMDIM]; - - double *cnp1, *cnp2; - - for (i = 0; i < num_desired_motions; ++i) { - num_inliers_by_motion[i] = 0; - } - if (npoints < minpts * MINPTS_MULTIPLIER || npoints == 0) { - return 1; - } - - points1 = (double *)aom_malloc(sizeof(*points1) * npoints * 2); - points2 = (double *)aom_malloc(sizeof(*points2) * npoints * 2); - corners1 = (double *)aom_malloc(sizeof(*corners1) * npoints * 2); - corners2 = (double *)aom_malloc(sizeof(*corners2) * npoints * 2); - image1_coord = (double *)aom_malloc(sizeof(*image1_coord) * npoints * 2); - - motions = - (RANSAC_MOTION *)aom_malloc(sizeof(RANSAC_MOTION) * num_desired_motions); - for (i = 0; i < num_desired_motions; ++i) { - motions[i].inlier_indices = - (int *)aom_malloc(sizeof(*motions->inlier_indices) * npoints); - clear_motion(motions + i, npoints); - } - current_motion.inlier_indices = - (int *)aom_malloc(sizeof(*current_motion.inlier_indices) * npoints); - clear_motion(¤t_motion, npoints); - - worst_kept_motion = motions; - - if (!(points1 && points2 && corners1 && corners2 && image1_coord && motions && - current_motion.inlier_indices)) { - ret_val = 1; - goto finish_ransac; - } - - cnp1 = corners1; - cnp2 = corners2; - for (i = 0; i < npoints; ++i) { - *(cnp1++) = *(matched_points++); - *(cnp1++) = *(matched_points++); - *(cnp2++) = *(matched_points++); - *(cnp2++) = *(matched_points++); - } - - while (N > trial_count) { - double sum_distance = 0.0; - double sum_distance_squared = 0.0; - - clear_motion(¤t_motion, npoints); - - int degenerate = 1; - int num_degenerate_iter = 0; - - while (degenerate) { - num_degenerate_iter++; - if (!get_rand_indices(npoints, minpts, indices, &seed)) { - ret_val = 1; - goto finish_ransac; - } - - copy_points_at_indices(points1, corners1, indices, minpts); - copy_points_at_indices(points2, corners2, indices, minpts); - - degenerate = is_degenerate(points1); - if (num_degenerate_iter > MAX_DEGENERATE_ITER) { - ret_val = 1; - goto finish_ransac; - } - } - - if (find_transformation(minpts, points1, points2, params_this_motion)) { - trial_count++; - continue; - } - - projectpoints(params_this_motion, corners1, image1_coord, npoints, 2, 2); - - for (i = 0; i < npoints; ++i) { - double dx = image1_coord[i * 2] - corners2[i * 2]; - double dy = image1_coord[i * 2 + 1] - corners2[i * 2 + 1]; - double distance = sqrt(dx * dx + dy * dy); - - if (distance < INLIER_THRESHOLD) { - current_motion.inlier_indices[current_motion.num_inliers++] = i; - sum_distance += distance; - sum_distance_squared += distance * distance; - } - } - - if (current_motion.num_inliers >= worst_kept_motion->num_inliers && - current_motion.num_inliers > 1) { - int temp; - double fracinliers, pNoOutliers, mean_distance, dtemp; - mean_distance = sum_distance / ((double)current_motion.num_inliers); - current_motion.variance = - sum_distance_squared / ((double)current_motion.num_inliers - 1.0) - - mean_distance * mean_distance * ((double)current_motion.num_inliers) / - ((double)current_motion.num_inliers - 1.0); - if (is_better_motion(¤t_motion, worst_kept_motion)) { - // This motion is better than the worst currently kept motion. Remember - // the inlier points and variance. The parameters for each kept motion - // will be recomputed later using only the inliers. - worst_kept_motion->num_inliers = current_motion.num_inliers; - worst_kept_motion->variance = current_motion.variance; - memcpy(worst_kept_motion->inlier_indices, current_motion.inlier_indices, - sizeof(*current_motion.inlier_indices) * npoints); - - assert(npoints > 0); - fracinliers = (double)current_motion.num_inliers / (double)npoints; - pNoOutliers = 1 - pow(fracinliers, minpts); - pNoOutliers = fmax(EPS, pNoOutliers); - pNoOutliers = fmin(1 - EPS, pNoOutliers); - dtemp = log(1.0 - PROBABILITY_REQUIRED) / log(pNoOutliers); - temp = (dtemp > (double)INT32_MAX) - ? INT32_MAX - : dtemp < (double)INT32_MIN ? INT32_MIN : (int)dtemp; - - if (temp > 0 && temp < N) { - N = AOMMAX(temp, MIN_TRIALS); - } - - // Determine the new worst kept motion and its num_inliers and variance. - for (i = 0; i < num_desired_motions; ++i) { - if (is_better_motion(worst_kept_motion, &motions[i])) { - worst_kept_motion = &motions[i]; - } - } - } - } - trial_count++; - } - - // Sort the motions, best first. - qsort(motions, num_desired_motions, sizeof(RANSAC_MOTION), compare_motions); - - // Recompute the motions using only the inliers. - for (i = 0; i < num_desired_motions; ++i) { - if (motions[i].num_inliers >= minpts) { - copy_points_at_indices(points1, corners1, motions[i].inlier_indices, - motions[i].num_inliers); - copy_points_at_indices(points2, corners2, motions[i].inlier_indices, - motions[i].num_inliers); - - find_transformation(motions[i].num_inliers, points1, points2, - params_by_motion + (MAX_PARAMDIM - 1) * i); - } - num_inliers_by_motion[i] = motions[i].num_inliers; - } - -finish_ransac: - aom_free(points1); - aom_free(points2); - aom_free(corners1); - aom_free(corners2); - aom_free(image1_coord); - aom_free(current_motion.inlier_indices); - for (i = 0; i < num_desired_motions; ++i) { - aom_free(motions[i].inlier_indices); - } - aom_free(motions); - - return ret_val; -} - -static int is_collinear3(double *p1, double *p2, double *p3) { - static const double collinear_eps = 1e-3; - const double v = - (p2[0] - p1[0]) * (p3[1] - p1[1]) - (p2[1] - p1[1]) * (p3[0] - p1[0]); - return fabs(v) < collinear_eps; -} - -static int is_degenerate_translation(double *p) { - return (p[0] - p[2]) * (p[0] - p[2]) + (p[1] - p[3]) * (p[1] - p[3]) <= 2; -} - -static int is_degenerate_affine(double *p) { - return is_collinear3(p, p + 2, p + 4); -} - -int ransac_translation(int *matched_points, int npoints, - int *num_inliers_by_motion, double *params_by_motion, - int num_desired_motions) { - return ransac(matched_points, npoints, num_inliers_by_motion, - params_by_motion, num_desired_motions, 3, - is_degenerate_translation, find_translation, - project_points_double_translation); -} - -int ransac_rotzoom(int *matched_points, int npoints, int *num_inliers_by_motion, - double *params_by_motion, int num_desired_motions) { - return ransac(matched_points, npoints, num_inliers_by_motion, - params_by_motion, num_desired_motions, 3, is_degenerate_affine, - find_rotzoom, project_points_double_rotzoom); -} - -int ransac_affine(int *matched_points, int npoints, int *num_inliers_by_motion, - double *params_by_motion, int num_desired_motions) { - return ransac(matched_points, npoints, num_inliers_by_motion, - params_by_motion, num_desired_motions, 3, is_degenerate_affine, - find_affine, project_points_double_affine); -} |