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authorMatt A. Tobin <email@mattatobin.com>2020-04-07 23:30:51 -0400
committerMatt A. Tobin <email@mattatobin.com>2020-04-07 23:30:51 -0400
commit5545a8983ff0ef1fb52e64aef8e66fa9b13c1cbb (patch)
tree45d55e3e5e73c4255c4d71258d9be5b2d004d28f /third_party/aom/av1/encoder/ransac.c
parent50f1986697a7412e4160976fa5e11217b4ef1f44 (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.c603
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(&current_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(&current_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(&current_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);
-}