/* * 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 #include #include #include "aom_dsp/flow_estimation/disflow.h" #include "aom_dsp/flow_estimation/flow_estimation.h" #include "aom_dsp/flow_estimation/ransac.h" #include "aom_scale/yv12config.h" #include "av1/common/resize.h" // Number of pyramid levels in disflow computation #define N_LEVELS 2 // Size of square patches in the disflow dense grid #define PATCH_SIZE 8 // Center point of square patch #define PATCH_CENTER ((PATCH_SIZE + 1) >> 1) // Step size between patches, lower value means greater patch overlap #define PATCH_STEP 1 // Minimum size of border padding for disflow #define MIN_PAD 7 // Warp error convergence threshold for disflow #define DISFLOW_ERROR_TR 0.01 // Max number of iterations if warp convergence is not found #define DISFLOW_MAX_ITR 10 // Struct for an image pyramid typedef struct { int n_levels; int pad_size; int has_gradient; int widths[N_LEVELS]; int heights[N_LEVELS]; int strides[N_LEVELS]; int level_loc[N_LEVELS]; unsigned char *level_buffer; double *level_dx_buffer; double *level_dy_buffer; } ImagePyramid; // Don't use points around the frame border since they are less reliable static INLINE int valid_point(int x, int y, int width, int height) { return (x > (PATCH_SIZE + PATCH_CENTER)) && (x < (width - PATCH_SIZE - PATCH_CENTER)) && (y > (PATCH_SIZE + PATCH_CENTER)) && (y < (height - PATCH_SIZE - PATCH_CENTER)); } static int determine_disflow_correspondence(int *frm_corners, int num_frm_corners, double *flow_u, double *flow_v, int width, int height, int stride, double *correspondences) { int num_correspondences = 0; int x, y; for (int i = 0; i < num_frm_corners; ++i) { x = frm_corners[2 * i]; y = frm_corners[2 * i + 1]; if (valid_point(x, y, width, height)) { correspondences[4 * num_correspondences] = x; correspondences[4 * num_correspondences + 1] = y; correspondences[4 * num_correspondences + 2] = x + flow_u[y * stride + x]; correspondences[4 * num_correspondences + 3] = y + flow_v[y * stride + x]; num_correspondences++; } } return num_correspondences; } static double getCubicValue(double p[4], double x) { return p[1] + 0.5 * x * (p[2] - p[0] + x * (2.0 * p[0] - 5.0 * p[1] + 4.0 * p[2] - p[3] + x * (3.0 * (p[1] - p[2]) + p[3] - p[0]))); } static void get_subcolumn(unsigned char *ref, double col[4], int stride, int x, int y_start) { int i; for (i = 0; i < 4; ++i) { col[i] = ref[(i + y_start) * stride + x]; } } static double bicubic(unsigned char *ref, double x, double y, int stride) { double arr[4]; int k; int i = (int)x; int j = (int)y; for (k = 0; k < 4; ++k) { double arr_temp[4]; get_subcolumn(ref, arr_temp, stride, i + k - 1, j - 1); arr[k] = getCubicValue(arr_temp, y - j); } return getCubicValue(arr, x - i); } // Interpolate a warped block using bicubic interpolation when possible static unsigned char interpolate(unsigned char *ref, double x, double y, int width, int height, int stride) { if (x < 0 && y < 0) return ref[0]; else if (x < 0 && y > height - 1) return ref[(height - 1) * stride]; else if (x > width - 1 && y < 0) return ref[width - 1]; else if (x > width - 1 && y > height - 1) return ref[(height - 1) * stride + (width - 1)]; else if (x < 0) { int v; int i = (int)y; double a = y - i; if (y > 1 && y < height - 2) { double arr[4]; get_subcolumn(ref, arr, stride, 0, i - 1); return clamp((int)(getCubicValue(arr, a) + 0.5), 0, 255); } v = (int)(ref[i * stride] * (1 - a) + ref[(i + 1) * stride] * a + 0.5); return clamp(v, 0, 255); } else if (y < 0) { int v; int j = (int)x; double b = x - j; if (x > 1 && x < width - 2) { double arr[4] = { ref[j - 1], ref[j], ref[j + 1], ref[j + 2] }; return clamp((int)(getCubicValue(arr, b) + 0.5), 0, 255); } v = (int)(ref[j] * (1 - b) + ref[j + 1] * b + 0.5); return clamp(v, 0, 255); } else if (x > width - 1) { int v; int i = (int)y; double a = y - i; if (y > 1 && y < height - 2) { double arr[4]; get_subcolumn(ref, arr, stride, width - 1, i - 1); return clamp((int)(getCubicValue(arr, a) + 0.5), 0, 255); } v = (int)(ref[i * stride + width - 1] * (1 - a) + ref[(i + 1) * stride + width - 1] * a + 0.5); return clamp(v, 0, 255); } else if (y > height - 1) { int v; int j = (int)x; double b = x - j; if (x > 1 && x < width - 2) { int row = (height - 1) * stride; double arr[4] = { ref[row + j - 1], ref[row + j], ref[row + j + 1], ref[row + j + 2] }; return clamp((int)(getCubicValue(arr, b) + 0.5), 0, 255); } v = (int)(ref[(height - 1) * stride + j] * (1 - b) + ref[(height - 1) * stride + j + 1] * b + 0.5); return clamp(v, 0, 255); } else if (x > 1 && y > 1 && x < width - 2 && y < height - 2) { return clamp((int)(bicubic(ref, x, y, stride) + 0.5), 0, 255); } else { int i = (int)y; int j = (int)x; double a = y - i; double b = x - j; int v = (int)(ref[i * stride + j] * (1 - a) * (1 - b) + ref[i * stride + j + 1] * (1 - a) * b + ref[(i + 1) * stride + j] * a * (1 - b) + ref[(i + 1) * stride + j + 1] * a * b); return clamp(v, 0, 255); } } // Warps a block using flow vector [u, v] and computes the mse static double compute_warp_and_error(unsigned char *ref, unsigned char *frm, int width, int height, int stride, int x, int y, double u, double v, int16_t *dt) { int i, j; unsigned char warped; double x_w, y_w; double mse = 0; int16_t err = 0; for (i = y; i < y + PATCH_SIZE; ++i) for (j = x; j < x + PATCH_SIZE; ++j) { x_w = (double)j + u; y_w = (double)i + v; warped = interpolate(ref, x_w, y_w, width, height, stride); err = warped - frm[j + i * stride]; mse += err * err; dt[(i - y) * PATCH_SIZE + (j - x)] = err; } mse /= (PATCH_SIZE * PATCH_SIZE); return mse; } // Computes the components of the system of equations used to solve for // a flow vector. This includes: // 1.) The hessian matrix for optical flow. This matrix is in the // form of: // // M = |sum(dx * dx) sum(dx * dy)| // |sum(dx * dy) sum(dy * dy)| // // 2.) b = |sum(dx * dt)| // |sum(dy * dt)| // Where the sums are computed over a square window of PATCH_SIZE. static INLINE void compute_flow_system(const double *dx, int dx_stride, const double *dy, int dy_stride, const int16_t *dt, int dt_stride, double *M, double *b) { for (int i = 0; i < PATCH_SIZE; i++) { for (int j = 0; j < PATCH_SIZE; j++) { M[0] += dx[i * dx_stride + j] * dx[i * dx_stride + j]; M[1] += dx[i * dx_stride + j] * dy[i * dy_stride + j]; M[3] += dy[i * dy_stride + j] * dy[i * dy_stride + j]; b[0] += dx[i * dx_stride + j] * dt[i * dt_stride + j]; b[1] += dy[i * dy_stride + j] * dt[i * dt_stride + j]; } } M[2] = M[1]; } // Solves a general Mx = b where M is a 2x2 matrix and b is a 2x1 matrix static INLINE void solve_2x2_system(const double *M, const double *b, double *output_vec) { double M_0 = M[0]; double M_3 = M[3]; double det = (M_0 * M_3) - (M[1] * M[2]); if (det < 1e-5) { // Handle singular matrix // TODO(sarahparker) compare results using pseudo inverse instead M_0 += 1e-10; M_3 += 1e-10; det = (M_0 * M_3) - (M[1] * M[2]); } const double det_inv = 1 / det; const double mult_b0 = det_inv * b[0]; const double mult_b1 = det_inv * b[1]; output_vec[0] = M_3 * mult_b0 - M[1] * mult_b1; output_vec[1] = -M[2] * mult_b0 + M_0 * mult_b1; } /* static INLINE void image_difference(const uint8_t *src, int src_stride, const uint8_t *ref, int ref_stride, int16_t *dst, int dst_stride, int height, int width) { const int block_unit = 8; // Take difference in 8x8 blocks to make use of optimized diff function for (int i = 0; i < height; i += block_unit) { for (int j = 0; j < width; j += block_unit) { aom_subtract_block(block_unit, block_unit, dst + i * dst_stride + j, dst_stride, src + i * src_stride + j, src_stride, ref + i * ref_stride + j, ref_stride); } } } */ static INLINE void convolve_2d_sobel_y(const uint8_t *src, int src_stride, double *dst, int dst_stride, int w, int h, int dir, double norm) { int16_t im_block[(MAX_SB_SIZE + MAX_FILTER_TAP - 1) * MAX_SB_SIZE]; DECLARE_ALIGNED(256, static const int16_t, sobel_a[3]) = { 1, 0, -1 }; DECLARE_ALIGNED(256, static const int16_t, sobel_b[3]) = { 1, 2, 1 }; const int taps = 3; int im_h = h + taps - 1; int im_stride = w; const int fo_vert = 1; const int fo_horiz = 1; // horizontal filter const uint8_t *src_horiz = src - fo_vert * src_stride; const int16_t *x_filter = dir ? sobel_a : sobel_b; for (int y = 0; y < im_h; ++y) { for (int x = 0; x < w; ++x) { int16_t sum = 0; for (int k = 0; k < taps; ++k) { sum += x_filter[k] * src_horiz[y * src_stride + x - fo_horiz + k]; } im_block[y * im_stride + x] = sum; } } // vertical filter int16_t *src_vert = im_block + fo_vert * im_stride; const int16_t *y_filter = dir ? sobel_b : sobel_a; for (int y = 0; y < h; ++y) { for (int x = 0; x < w; ++x) { int16_t sum = 0; for (int k = 0; k < taps; ++k) { sum += y_filter[k] * src_vert[(y - fo_vert + k) * im_stride + x]; } dst[y * dst_stride + x] = sum * norm; } } } // Compute an image gradient using a sobel filter. // If dir == 1, compute the x gradient. If dir == 0, compute y. This function // assumes the images have been padded so that they can be processed in units // of 8. static INLINE void sobel_xy_image_gradient(const uint8_t *src, int src_stride, double *dst, int dst_stride, int height, int width, int dir) { double norm = 1.0; // TODO(sarahparker) experiment with doing this over larger block sizes const int block_unit = 8; // Filter in 8x8 blocks to eventually make use of optimized convolve function for (int i = 0; i < height; i += block_unit) { for (int j = 0; j < width; j += block_unit) { convolve_2d_sobel_y(src + i * src_stride + j, src_stride, dst + i * dst_stride + j, dst_stride, block_unit, block_unit, dir, norm); } } } static void free_pyramid(ImagePyramid *pyr) { aom_free(pyr->level_buffer); if (pyr->has_gradient) { aom_free(pyr->level_dx_buffer); aom_free(pyr->level_dy_buffer); } aom_free(pyr); } static ImagePyramid *alloc_pyramid(int width, int height, int pad_size, int compute_gradient) { ImagePyramid *pyr = aom_calloc(1, sizeof(*pyr)); if (!pyr) return NULL; pyr->has_gradient = compute_gradient; // 2 * width * height is the upper bound for a buffer that fits // all pyramid levels + padding for each level const int buffer_size = sizeof(*pyr->level_buffer) * 2 * width * height + (width + 2 * pad_size) * 2 * pad_size * N_LEVELS; pyr->level_buffer = aom_malloc(buffer_size); if (!pyr->level_buffer) { free_pyramid(pyr); return NULL; } memset(pyr->level_buffer, 0, buffer_size); if (compute_gradient) { const int gradient_size = sizeof(*pyr->level_dx_buffer) * 2 * width * height + (width + 2 * pad_size) * 2 * pad_size * N_LEVELS; pyr->level_dx_buffer = aom_calloc(1, gradient_size); pyr->level_dy_buffer = aom_calloc(1, gradient_size); if (!(pyr->level_dx_buffer && pyr->level_dy_buffer)) { free_pyramid(pyr); return NULL; } } return pyr; } static INLINE void update_level_dims(ImagePyramid *frm_pyr, int level) { frm_pyr->widths[level] = frm_pyr->widths[level - 1] >> 1; frm_pyr->heights[level] = frm_pyr->heights[level - 1] >> 1; frm_pyr->strides[level] = frm_pyr->widths[level] + 2 * frm_pyr->pad_size; // Point the beginning of the next level buffer to the correct location inside // the padded border frm_pyr->level_loc[level] = frm_pyr->level_loc[level - 1] + frm_pyr->strides[level - 1] * (2 * frm_pyr->pad_size + frm_pyr->heights[level - 1]); } // Compute coarse to fine pyramids for a frame static void compute_flow_pyramids(unsigned char *frm, const int frm_width, const int frm_height, const int frm_stride, int n_levels, int pad_size, int compute_grad, ImagePyramid *frm_pyr) { int cur_width, cur_height, cur_stride, cur_loc; assert((frm_width >> n_levels) > 0); assert((frm_height >> n_levels) > 0); // Initialize first level frm_pyr->n_levels = n_levels; frm_pyr->pad_size = pad_size; frm_pyr->widths[0] = frm_width; frm_pyr->heights[0] = frm_height; frm_pyr->strides[0] = frm_width + 2 * frm_pyr->pad_size; // Point the beginning of the level buffer to the location inside // the padded border frm_pyr->level_loc[0] = frm_pyr->strides[0] * frm_pyr->pad_size + frm_pyr->pad_size; // This essentially copies the original buffer into the pyramid buffer // without the original padding av1_resize_plane(frm, frm_height, frm_width, frm_stride, frm_pyr->level_buffer + frm_pyr->level_loc[0], frm_pyr->heights[0], frm_pyr->widths[0], frm_pyr->strides[0]); if (compute_grad) { cur_width = frm_pyr->widths[0]; cur_height = frm_pyr->heights[0]; cur_stride = frm_pyr->strides[0]; cur_loc = frm_pyr->level_loc[0]; assert(frm_pyr->has_gradient && frm_pyr->level_dx_buffer != NULL && frm_pyr->level_dy_buffer != NULL); // Computation x gradient sobel_xy_image_gradient(frm_pyr->level_buffer + cur_loc, cur_stride, frm_pyr->level_dx_buffer + cur_loc, cur_stride, cur_height, cur_width, 1); // Computation y gradient sobel_xy_image_gradient(frm_pyr->level_buffer + cur_loc, cur_stride, frm_pyr->level_dy_buffer + cur_loc, cur_stride, cur_height, cur_width, 0); } // Start at the finest level and resize down to the coarsest level for (int level = 1; level < n_levels; ++level) { update_level_dims(frm_pyr, level); cur_width = frm_pyr->widths[level]; cur_height = frm_pyr->heights[level]; cur_stride = frm_pyr->strides[level]; cur_loc = frm_pyr->level_loc[level]; av1_resize_plane(frm_pyr->level_buffer + frm_pyr->level_loc[level - 1], frm_pyr->heights[level - 1], frm_pyr->widths[level - 1], frm_pyr->strides[level - 1], frm_pyr->level_buffer + cur_loc, cur_height, cur_width, cur_stride); if (compute_grad) { assert(frm_pyr->has_gradient && frm_pyr->level_dx_buffer != NULL && frm_pyr->level_dy_buffer != NULL); // Computation x gradient sobel_xy_image_gradient(frm_pyr->level_buffer + cur_loc, cur_stride, frm_pyr->level_dx_buffer + cur_loc, cur_stride, cur_height, cur_width, 1); // Computation y gradient sobel_xy_image_gradient(frm_pyr->level_buffer + cur_loc, cur_stride, frm_pyr->level_dy_buffer + cur_loc, cur_stride, cur_height, cur_width, 0); } } } static INLINE void compute_flow_at_point(unsigned char *frm, unsigned char *ref, double *dx, double *dy, int x, int y, int width, int height, int stride, double *u, double *v) { double M[4] = { 0 }; double b[2] = { 0 }; double tmp_output_vec[2] = { 0 }; double error = 0; int16_t dt[PATCH_SIZE * PATCH_SIZE]; double o_u = *u; double o_v = *v; for (int itr = 0; itr < DISFLOW_MAX_ITR; itr++) { error = compute_warp_and_error(ref, frm, width, height, stride, x, y, *u, *v, dt); if (error <= DISFLOW_ERROR_TR) break; compute_flow_system(dx, stride, dy, stride, dt, PATCH_SIZE, M, b); solve_2x2_system(M, b, tmp_output_vec); *u += tmp_output_vec[0]; *v += tmp_output_vec[1]; } if (fabs(*u - o_u) > PATCH_SIZE || fabs(*v - o_u) > PATCH_SIZE) { *u = o_u; *v = o_v; } } // make sure flow_u and flow_v start at 0 static bool compute_flow_field(ImagePyramid *frm_pyr, ImagePyramid *ref_pyr, double *flow_u, double *flow_v) { int cur_width, cur_height, cur_stride, cur_loc, patch_loc, patch_center; double *u_upscale = aom_malloc(frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_u)); double *v_upscale = aom_malloc(frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_v)); if (!(u_upscale && v_upscale)) { aom_free(u_upscale); aom_free(v_upscale); return false; } assert(frm_pyr->n_levels == ref_pyr->n_levels); // Compute flow field from coarsest to finest level of the pyramid for (int level = frm_pyr->n_levels - 1; level >= 0; --level) { cur_width = frm_pyr->widths[level]; cur_height = frm_pyr->heights[level]; cur_stride = frm_pyr->strides[level]; cur_loc = frm_pyr->level_loc[level]; for (int i = PATCH_SIZE; i < cur_height - PATCH_SIZE; i += PATCH_STEP) { for (int j = PATCH_SIZE; j < cur_width - PATCH_SIZE; j += PATCH_STEP) { patch_loc = i * cur_stride + j; patch_center = patch_loc + PATCH_CENTER * cur_stride + PATCH_CENTER; compute_flow_at_point(frm_pyr->level_buffer + cur_loc, ref_pyr->level_buffer + cur_loc, frm_pyr->level_dx_buffer + cur_loc + patch_loc, frm_pyr->level_dy_buffer + cur_loc + patch_loc, j, i, cur_width, cur_height, cur_stride, flow_u + patch_center, flow_v + patch_center); } } // TODO(sarahparker) Replace this with upscale function in resize.c if (level > 0) { int h_upscale = frm_pyr->heights[level - 1]; int w_upscale = frm_pyr->widths[level - 1]; int s_upscale = frm_pyr->strides[level - 1]; for (int i = 0; i < h_upscale; ++i) { for (int j = 0; j < w_upscale; ++j) { u_upscale[j + i * s_upscale] = flow_u[(int)(j >> 1) + (int)(i >> 1) * cur_stride]; v_upscale[j + i * s_upscale] = flow_v[(int)(j >> 1) + (int)(i >> 1) * cur_stride]; } } memcpy(flow_u, u_upscale, frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_u)); memcpy(flow_v, v_upscale, frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_v)); } } aom_free(u_upscale); aom_free(v_upscale); return true; } int av1_compute_global_motion_disflow_based( TransformationType type, unsigned char *frm_buffer, int frm_width, int frm_height, int frm_stride, int *frm_corners, int num_frm_corners, YV12_BUFFER_CONFIG *ref, int bit_depth, int *num_inliers_by_motion, MotionModel *params_by_motion, int num_motions) { unsigned char *ref_buffer = ref->y_buffer; const int ref_width = ref->y_width; const int ref_height = ref->y_height; const int pad_size = AOMMAX(PATCH_SIZE, MIN_PAD); int num_correspondences; double *correspondences; RansacFuncDouble ransac = av1_get_ransac_double_prec_type(type); assert(frm_width == ref_width); assert(frm_height == ref_height); // Ensure the number of pyramid levels will work with the frame resolution const int msb = frm_width < frm_height ? get_msb(frm_width) : get_msb(frm_height); const int n_levels = AOMMIN(msb, N_LEVELS); if (ref->flags & YV12_FLAG_HIGHBITDEPTH) { ref_buffer = av1_downconvert_frame(ref, bit_depth); } // TODO(sarahparker) We will want to do the source pyramid computation // outside of this function so it doesn't get recomputed for every // reference. We also don't need to compute every pyramid level for the // reference in advance, since lower levels can be overwritten once their // flow field is computed and upscaled. I'll add these optimizations // once the full implementation is working. // Allocate frm image pyramids int compute_gradient = 1; ImagePyramid *frm_pyr = alloc_pyramid(frm_width, frm_height, pad_size, compute_gradient); if (!frm_pyr) return 0; compute_flow_pyramids(frm_buffer, frm_width, frm_height, frm_stride, n_levels, pad_size, compute_gradient, frm_pyr); // Allocate ref image pyramids compute_gradient = 0; ImagePyramid *ref_pyr = alloc_pyramid(ref_width, ref_height, pad_size, compute_gradient); if (!ref_pyr) { free_pyramid(frm_pyr); return 0; } compute_flow_pyramids(ref_buffer, ref_width, ref_height, ref->y_stride, n_levels, pad_size, compute_gradient, ref_pyr); int ret = 0; double *flow_u = aom_malloc(frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_u)); double *flow_v = aom_malloc(frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_v)); if (!(flow_u && flow_v)) goto Error; memset(flow_u, 0, frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_u)); memset(flow_v, 0, frm_pyr->strides[0] * frm_pyr->heights[0] * sizeof(*flow_v)); if (!compute_flow_field(frm_pyr, ref_pyr, flow_u, flow_v)) goto Error; // find correspondences between the two images using the flow field correspondences = aom_malloc(num_frm_corners * 4 * sizeof(*correspondences)); if (!correspondences) goto Error; num_correspondences = determine_disflow_correspondence( frm_corners, num_frm_corners, flow_u, flow_v, frm_width, frm_height, frm_pyr->strides[0], correspondences); ransac(correspondences, num_correspondences, num_inliers_by_motion, params_by_motion, num_motions); // Set num_inliers = 0 for motions with too few inliers so they are ignored. for (int i = 0; i < num_motions; ++i) { if (num_inliers_by_motion[i] < MIN_INLIER_PROB * num_correspondences) { num_inliers_by_motion[i] = 0; } } // Return true if any one of the motions has inliers. for (int i = 0; i < num_motions; ++i) { if (num_inliers_by_motion[i] > 0) { ret = 1; break; } } aom_free(correspondences); Error: free_pyramid(frm_pyr); free_pyramid(ref_pyr); aom_free(flow_u); aom_free(flow_v); return ret; }