speed-up SSIM calculation

SSIM results are incompatible with previous version!
We're now averaging the SSIM value for each pixels instead of
printing a frame-level global SSIM value.

* Got rid of some old code
* switched to uint32_t for accumulation
* refactoring

SSIM calculation is ~4x faster now.

Change-Id: I48d838e66aef5199b9b5cd5cddef6a98411f5673
This commit is contained in:
Pascal Massimino 2016-09-14 16:15:43 +02:00
parent 64577de8ae
commit bfff0bf329
5 changed files with 143 additions and 201 deletions

View File

@ -254,26 +254,29 @@ void VP8EncDspCostInit(void);
// struct for accumulating statistical moments
typedef struct {
double w; // sum(w_i) : sum of weights
double xm, ym; // sum(w_i * x_i), sum(w_i * y_i)
double xxm, xym, yym; // sum(w_i * x_i * x_i), etc.
uint32_t w; // sum(w_i) : sum of weights
uint32_t xm, ym; // sum(w_i * x_i), sum(w_i * y_i)
uint32_t xxm, xym, yym; // sum(w_i * x_i * x_i), etc.
} VP8DistoStats;
// Compute the final SSIM value
// The non-clipped version assumes stats->w = (2 * VP8_SSIM_KERNEL + 1)^2.
double VP8SSIMFromStats(const VP8DistoStats* const stats);
double VP8SSIMFromStatsClipped(const VP8DistoStats* const stats);
#define VP8_SSIM_KERNEL 3 // total size of the kernel: 2 * VP8_SSIM_KERNEL + 1
typedef void (*VP8SSIMAccumulateClippedFunc)(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int xo, int yo, // center position
int W, int H, // plane dimension
VP8DistoStats* const stats);
typedef double (*VP8SSIMGetClippedFunc)(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int xo, int yo, // center position
int W, int H); // plane dimension
// This version is called with the guarantee that you can load 8 bytes and
// 8 rows at offset src1 and src2
typedef void (*VP8SSIMAccumulateFunc)(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
VP8DistoStats* const stats);
typedef double (*VP8SSIMGetFunc)(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2);
extern VP8SSIMAccumulateFunc VP8SSIMAccumulate; // unclipped / unchecked
extern VP8SSIMAccumulateClippedFunc VP8SSIMAccumulateClipped; // with clipping
extern VP8SSIMGetFunc VP8SSIMGet; // unclipped / unchecked
extern VP8SSIMGetClippedFunc VP8SSIMGetClipped; // with clipping
typedef uint32_t (*VP8AccumulateSSEFunc)(const uint8_t* src1,
const uint8_t* src2, int len);

View File

@ -693,10 +693,41 @@ static void Copy16x8(const uint8_t* src, uint8_t* dst) {
//------------------------------------------------------------------------------
// SSIM / PSNR
static void SSIMAccumulateClipped(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int xo, int yo, int W, int H,
VP8DistoStats* const stats) {
static const double kMinValue = 1.e-10; // minimal threshold
static WEBP_INLINE double SSIMCalculation(
const VP8DistoStats* const stats, uint32_t N /*num samples*/) {
const double w2 = N * N;
const double C1 = 6.5025 * w2;
const double C2 = 58.5225 * w2;
const double xmxm = stats->xm * stats->xm;
const double ymym = stats->ym * stats->ym;
const double xmym = stats->xm * stats->ym;
const double sxy = stats->xym * N - xmym;
const double fnum = (2 * xmym + C1) * (2 * sxy + C2);
double fden;
double sxx = stats->xxm * N - xmxm;
double syy = stats->yym * N - ymym;
// small errors are possible, due to rounding. Clamp to zero.
if (sxx < 0.) sxx = 0.;
if (syy < 0.) syy = 0.;
fden = (xmxm + ymym + C1) * (sxx + syy + C2);
return (fden != 0.) ? fnum / fden : kMinValue;
}
double VP8SSIMFromStats(const VP8DistoStats* const stats) {
const uint32_t w = (2 * VP8_SSIM_KERNEL + 1) * (2 * VP8_SSIM_KERNEL + 1);
return SSIMCalculation(stats, w);
}
double VP8SSIMFromStatsClipped(const VP8DistoStats* const stats) {
return SSIMCalculation(stats, stats->w);
}
static double SSIMGetClipped_C(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int xo, int yo, int W, int H) {
VP8DistoStats stats = { 0., 0., 0., 0., 0., 0. };
const int ymin = (yo - VP8_SSIM_KERNEL < 0) ? 0 : yo - VP8_SSIM_KERNEL;
const int ymax = (yo + VP8_SSIM_KERNEL > H - 1) ? H - 1
: yo + VP8_SSIM_KERNEL;
@ -710,34 +741,37 @@ static void SSIMAccumulateClipped(const uint8_t* src1, int stride1,
for (x = xmin; x <= xmax; ++x) {
const int s1 = src1[x];
const int s2 = src2[x];
stats->w += 1;
stats->xm += s1;
stats->ym += s2;
stats->xxm += s1 * s1;
stats->xym += s1 * s2;
stats->yym += s2 * s2;
stats.xm += s1;
stats.ym += s2;
stats.xxm += s1 * s1;
stats.xym += s1 * s2;
stats.yym += s2 * s2;
}
}
stats.w = (ymax - ymin + 1) * (xmax - xmin + 1);
return VP8SSIMFromStatsClipped(&stats);
}
static void SSIMAccumulate(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
VP8DistoStats* const stats) {
static double SSIMGet_C(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2) {
VP8DistoStats stats = { 0., 0., 0., 0., 0., 0. };
int x, y;
for (y = 0; y <= 2 * VP8_SSIM_KERNEL; ++y, src1 += stride1, src2 += stride2) {
for (x = 0; x <= 2 * VP8_SSIM_KERNEL; ++x) {
const int s1 = src1[x];
const int s2 = src2[x];
stats->w += 1;
stats->xm += s1;
stats->ym += s2;
stats->xxm += s1 * s1;
stats->xym += s1 * s2;
stats->yym += s2 * s2;
stats.xm += s1;
stats.ym += s2;
stats.xxm += s1 * s1;
stats.xym += s1 * s2;
stats.yym += s2 * s2;
}
}
return VP8SSIMFromStats(&stats);
}
//------------------------------------------------------------------------------
static uint32_t AccumulateSSE(const uint8_t* src1,
const uint8_t* src2, int len) {
int i;
@ -750,8 +784,10 @@ static uint32_t AccumulateSSE(const uint8_t* src1,
return sse2;
}
VP8SSIMAccumulateFunc VP8SSIMAccumulate;
VP8SSIMAccumulateClippedFunc VP8SSIMAccumulateClipped;
//------------------------------------------------------------------------------
VP8SSIMGetFunc VP8SSIMGet;
VP8SSIMGetClippedFunc VP8SSIMGetClipped;
VP8AccumulateSSEFunc VP8AccumulateSSE;
extern void VP8SSIMDspInitSSE2(void);
@ -762,8 +798,8 @@ static volatile VP8CPUInfo ssim_last_cpuinfo_used =
WEBP_TSAN_IGNORE_FUNCTION void VP8SSIMDspInit(void) {
if (ssim_last_cpuinfo_used == VP8GetCPUInfo) return;
VP8SSIMAccumulate = SSIMAccumulate;
VP8SSIMAccumulateClipped = SSIMAccumulateClipped;
VP8SSIMGetClipped = SSIMGetClipped_C;
VP8SSIMGet = SSIMGet_C;
VP8AccumulateSSE = AccumulateSSE;
if (VP8GetCPUInfo != NULL) {

View File

@ -105,115 +105,28 @@ static void DoFilter(const VP8EncIterator* const it, int level) {
}
//------------------------------------------------------------------------------
// SSIM metric
static const double kMinValue = 1.e-10; // minimal threshold
void VP8SSIMAddStats(const VP8DistoStats* const src, VP8DistoStats* const dst) {
dst->w += src->w;
dst->xm += src->xm;
dst->ym += src->ym;
dst->xxm += src->xxm;
dst->xym += src->xym;
dst->yym += src->yym;
}
double VP8SSIMGet(const VP8DistoStats* const stats) {
const double xmxm = stats->xm * stats->xm;
const double ymym = stats->ym * stats->ym;
const double xmym = stats->xm * stats->ym;
const double w2 = stats->w * stats->w;
double sxx = stats->xxm * stats->w - xmxm;
double syy = stats->yym * stats->w - ymym;
double sxy = stats->xym * stats->w - xmym;
double C1, C2;
double fnum;
double fden;
// small errors are possible, due to rounding. Clamp to zero.
if (sxx < 0.) sxx = 0.;
if (syy < 0.) syy = 0.;
C1 = 6.5025 * w2;
C2 = 58.5225 * w2;
fnum = (2 * xmym + C1) * (2 * sxy + C2);
fden = (xmxm + ymym + C1) * (sxx + syy + C2);
return (fden != 0.) ? fnum / fden : kMinValue;
}
double VP8SSIMGetSquaredError(const VP8DistoStats* const s) {
if (s->w > 0.) {
const double iw2 = 1. / (s->w * s->w);
const double sxx = s->xxm * s->w - s->xm * s->xm;
const double syy = s->yym * s->w - s->ym * s->ym;
const double sxy = s->xym * s->w - s->xm * s->ym;
const double SSE = iw2 * (sxx + syy - 2. * sxy);
if (SSE > kMinValue) return SSE;
}
return kMinValue;
}
#define LIMIT(A, M) ((A) > (M) ? (M) : (A))
static void VP8SSIMAccumulateRow(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int y, int W, int H,
VP8DistoStats* const stats) {
int x = 0;
const int w0 = LIMIT(VP8_SSIM_KERNEL, W);
for (x = 0; x < w0; ++x) {
VP8SSIMAccumulateClipped(src1, stride1, src2, stride2, x, y, W, H, stats);
}
for (; x <= W - 8 + VP8_SSIM_KERNEL; ++x) {
VP8SSIMAccumulate(
src1 + (y - VP8_SSIM_KERNEL) * stride1 + (x - VP8_SSIM_KERNEL), stride1,
src2 + (y - VP8_SSIM_KERNEL) * stride2 + (x - VP8_SSIM_KERNEL), stride2,
stats);
}
for (; x < W; ++x) {
VP8SSIMAccumulateClipped(src1, stride1, src2, stride2, x, y, W, H, stats);
}
}
void VP8SSIMAccumulatePlane(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int W, int H, VP8DistoStats* const stats) {
int x, y;
const int h0 = LIMIT(VP8_SSIM_KERNEL, H);
const int h1 = LIMIT(VP8_SSIM_KERNEL, H - VP8_SSIM_KERNEL);
for (y = 0; y < h0; ++y) {
for (x = 0; x < W; ++x) {
VP8SSIMAccumulateClipped(src1, stride1, src2, stride2, x, y, W, H, stats);
}
}
for (; y < h1; ++y) {
VP8SSIMAccumulateRow(src1, stride1, src2, stride2, y, W, H, stats);
}
for (; y < H; ++y) {
for (x = 0; x < W; ++x) {
VP8SSIMAccumulateClipped(src1, stride1, src2, stride2, x, y, W, H, stats);
}
}
}
#undef LIMIT
// SSIM metric for one macroblock
static double GetMBSSIM(const uint8_t* yuv1, const uint8_t* yuv2) {
int x, y;
VP8DistoStats s = { .0, .0, .0, .0, .0, .0 };
double sum = 0.;
// compute SSIM in a 10 x 10 window
for (y = VP8_SSIM_KERNEL; y < 16 - VP8_SSIM_KERNEL; y++) {
for (x = VP8_SSIM_KERNEL; x < 16 - VP8_SSIM_KERNEL; x++) {
VP8SSIMAccumulateClipped(yuv1 + Y_OFF_ENC, BPS, yuv2 + Y_OFF_ENC, BPS,
x, y, 16, 16, &s);
sum += VP8SSIMGetClipped(yuv1 + Y_OFF_ENC, BPS, yuv2 + Y_OFF_ENC, BPS,
x, y, 16, 16);
}
}
for (x = 1; x < 7; x++) {
for (y = 1; y < 7; y++) {
VP8SSIMAccumulateClipped(yuv1 + U_OFF_ENC, BPS, yuv2 + U_OFF_ENC, BPS,
x, y, 8, 8, &s);
VP8SSIMAccumulateClipped(yuv1 + V_OFF_ENC, BPS, yuv2 + V_OFF_ENC, BPS,
x, y, 8, 8, &s);
sum += VP8SSIMGetClipped(yuv1 + U_OFF_ENC, BPS, yuv2 + U_OFF_ENC, BPS,
x, y, 8, 8);
sum += VP8SSIMGetClipped(yuv1 + V_OFF_ENC, BPS, yuv2 + V_OFF_ENC, BPS,
x, y, 8, 8);
}
}
return VP8SSIMGet(&s);
return sum;
}
//------------------------------------------------------------------------------

View File

@ -17,6 +17,10 @@
#include "./vp8enci.h"
#include "../utils/utils.h"
typedef double (*AccumulateFunc)(const uint8_t* src, int src_stride,
const uint8_t* ref, int ref_stride,
int w, int h);
//------------------------------------------------------------------------------
// local-min distortion
//
@ -67,6 +71,43 @@ static double AccumulateSSE(const uint8_t* src, int src_stride,
return total_sse;
}
//------------------------------------------------------------------------------
static double AccumulateSSIM(const uint8_t* src, int src_stride,
const uint8_t* ref, int ref_stride,
int w, int h) {
const int w0 = (w < VP8_SSIM_KERNEL) ? w : VP8_SSIM_KERNEL;
const int w1 = w - VP8_SSIM_KERNEL - 1;
const int h0 = (h < VP8_SSIM_KERNEL) ? h : VP8_SSIM_KERNEL;
const int h1 = h - VP8_SSIM_KERNEL - 1;
int x, y;
double sum = 0.;
for (y = 0; y < h0; ++y) {
for (x = 0; x < w; ++x) {
sum += VP8SSIMGetClipped(src, src_stride, ref, ref_stride, x, y, w, h);
}
}
for (; y < h1; ++y) {
for (x = 0; x < w0; ++x) {
sum += VP8SSIMGetClipped(src, src_stride, ref, ref_stride, x, y, w, h);
}
for (; x < w1; ++x) {
const int off1 = x - VP8_SSIM_KERNEL + (y - VP8_SSIM_KERNEL) * src_stride;
const int off2 = x - VP8_SSIM_KERNEL + (y - VP8_SSIM_KERNEL) * ref_stride;
sum += VP8SSIMGet(src + off1, src_stride, ref + off2, ref_stride);
}
for (; x < w; ++x) {
sum += VP8SSIMGetClipped(src, src_stride, ref, ref_stride, x, y, w, h);
}
}
for (; y < h; ++y) {
for (x = 0; x < w; ++x) {
sum += VP8SSIMGetClipped(src, src_stride, ref, ref_stride, x, y, w, h);
}
}
return sum;
}
//------------------------------------------------------------------------------
// Distortion
@ -77,6 +118,7 @@ static double GetPSNR(double v, double size) {
return (v > 0. && size > 0.) ? -4.3429448 * log(v / (size * 255 * 255.))
: kMinDistortion_dB;
}
static double GetLogSSIM(double v, double size) {
v = (size > 0.) ? v / size : 1.;
return (v < 1.) ? -10.0 * log10(1. - v) : kMinDistortion_dB;
@ -88,10 +130,10 @@ int WebPPictureDistortion(const WebPPicture* src, const WebPPicture* ref,
double disto[4] = { 0. };
double sizes[4] = { 0. };
double total_size = 0., total_disto = 0.;
VP8DistoStats stats[5];
const AccumulateFunc metric = (type == 0) ? AccumulateSSE :
(type == 1) ? AccumulateSSIM :
AccumulateLSIM;
VP8SSIMDspInit();
memset(stats, 0, sizeof(stats));
if (src == NULL || ref == NULL ||
src->width != ref->width || src->height != ref->height ||
@ -120,13 +162,7 @@ int WebPPictureDistortion(const WebPPicture* src, const WebPPicture* ref,
}
}
sizes[c] = w * h;
if (type >= 2) {
disto[c] = AccumulateLSIM(tmp1, w, tmp2, w, w, h);
} else if (type == 0) {
disto[c] = AccumulateSSE(tmp1, w, tmp2, w, w, h);
} else {
VP8SSIMAccumulatePlane(tmp1, w, tmp2, w, w, h, &stats[c]);
}
disto[c] = metric(tmp1, w, tmp2, w, w, h);
}
WebPSafeFree(tmp_plane);
}
@ -149,62 +185,24 @@ int WebPPictureDistortion(const WebPPicture* src, const WebPPicture* ref,
sizes[1] = sizes[2] = uv_w * uv_h;
sizes[3] = has_alpha ? w * h : 0.;
if (type >= 2) {
disto[0] = AccumulateLSIM(src->y, src->y_stride, ref->y, ref->y_stride,
w, h);
disto[1] = AccumulateLSIM(src->u, src->uv_stride, ref->u, ref->uv_stride,
uv_w, uv_h);
disto[2] = AccumulateLSIM(src->v, src->uv_stride, ref->v, ref->uv_stride,
uv_w, uv_h);
if (has_alpha) {
disto[3] = AccumulateLSIM(src->a, src->a_stride, ref->a, ref->a_stride,
w, h);
}
} else if (type == 0) {
disto[0] = AccumulateSSE(src->y, src->y_stride, ref->y, ref->y_stride,
w, h);
disto[1] = AccumulateSSE(src->u, src->uv_stride, ref->u, ref->uv_stride,
uv_w, uv_h);
disto[2] = AccumulateSSE(src->v, src->uv_stride, ref->v, ref->uv_stride,
uv_w, uv_h);
if (has_alpha) {
disto[3] = AccumulateSSE(src->a, src->a_stride, ref->a, ref->a_stride,
w, h);
}
} else {
VP8SSIMAccumulatePlane(src->y, src->y_stride,
ref->y, ref->y_stride,
w, h, &stats[0]);
VP8SSIMAccumulatePlane(src->u, src->uv_stride,
ref->u, ref->uv_stride,
uv_w, uv_h, &stats[1]);
VP8SSIMAccumulatePlane(src->v, src->uv_stride,
ref->v, ref->uv_stride,
uv_w, uv_h, &stats[2]);
if (has_alpha) {
VP8SSIMAccumulatePlane(src->a, src->a_stride,
ref->a, ref->a_stride,
w, h, &stats[3]);
}
disto[0] = metric(src->y, src->y_stride, ref->y, ref->y_stride, w, h);
disto[1] = metric(src->u, src->uv_stride, ref->u, ref->uv_stride,
uv_w, uv_h);
disto[2] = metric(src->v, src->uv_stride, ref->v, ref->uv_stride,
uv_w, uv_h);
if (has_alpha) {
disto[3] = metric(src->a, src->a_stride, ref->a, ref->a_stride, w, h);
}
}
for (c = 0; c < 4; ++c) {
if (type == 1) {
results[c] = (float)GetLogSSIM(VP8SSIMGet(&stats[c]), 1.);
VP8SSIMAddStats(&stats[c], &stats[4]);
} else {
total_disto += disto[c];
total_size += sizes[c];
results[c] = (float)GetPSNR(disto[c], sizes[c]);
}
total_disto += disto[c];
total_size += sizes[c];
results[c] = (type == 1) ? (float)GetLogSSIM(disto[c], sizes[c])
: (float)GetPSNR(disto[c], sizes[c]);
}
if (type == 1) {
results[4] = (float)GetLogSSIM(VP8SSIMGet(&stats[4]), 1.);
} else {
results[4] = (float)GetPSNR(total_disto, total_size);
}
results[4] = (type == 1) ? (float)GetLogSSIM(total_disto, total_size)
: (float)GetPSNR(total_disto, total_size);
return 1;
}

View File

@ -474,14 +474,6 @@ int VP8EncStartAlpha(VP8Encoder* const enc); // start alpha coding process
int VP8EncFinishAlpha(VP8Encoder* const enc); // finalize compressed data
int VP8EncDeleteAlpha(VP8Encoder* const enc); // delete compressed data
// in filter.c
void VP8SSIMAddStats(const VP8DistoStats* const src, VP8DistoStats* const dst);
void VP8SSIMAccumulatePlane(const uint8_t* src1, int stride1,
const uint8_t* src2, int stride2,
int W, int H, VP8DistoStats* const stats);
double VP8SSIMGet(const VP8DistoStats* const stats);
double VP8SSIMGetSquaredError(const VP8DistoStats* const stats);
// autofilter
void VP8InitFilter(VP8EncIterator* const it);
void VP8StoreFilterStats(VP8EncIterator* const it);