#include #include #include "SkBitmap.h" #include "skpdiff_util.h" #include "SkPMetric.h" #include "SkPMetricUtil_generated.h" struct RGB { float r, g, b; }; struct LAB { float l, a, b; }; template struct Image2D { int width; int height; T* image; Image2D(int w, int h) : width(w), height(h) { SkASSERT(w > 0); SkASSERT(h > 0); image = SkNEW_ARRAY(T, w * h); } ~Image2D() { SkDELETE_ARRAY(image); } void readPixel(int x, int y, T* pixel) const { SkASSERT(x >= 0); SkASSERT(y >= 0); SkASSERT(x < width); SkASSERT(y < height); *pixel = image[y * width + x]; } T* getRow(int y) const { return &image[y * width]; } void writePixel(int x, int y, const T& pixel) { SkASSERT(x >= 0); SkASSERT(y >= 0); SkASSERT(x < width); SkASSERT(y < height); image[y * width + x] = pixel; } }; typedef Image2D ImageL; typedef Image2D ImageRGB; typedef Image2D ImageLAB; template struct ImageArray { int slices; Image2D** image; ImageArray(int w, int h, int s) : slices(s) { SkASSERT(s > 0); image = SkNEW_ARRAY(Image2D*, s); for (int sliceIndex = 0; sliceIndex < slices; sliceIndex++) { image[sliceIndex] = SkNEW_ARGS(Image2D, (w, h)); } } ~ImageArray() { for (int sliceIndex = 0; sliceIndex < slices; sliceIndex++) { SkDELETE(image[sliceIndex]); } SkDELETE_ARRAY(image); } Image2D* getLayer(int z) const { SkASSERT(z >= 0); SkASSERT(z < slices); return image[z]; } }; typedef ImageArray ImageL3D; #define MAT_ROW_MULT(rc,gc,bc) r*rc + g*gc + b*bc static void adobergb_to_cielab(float r, float g, float b, LAB* lab) { // Conversion of Adobe RGB to XYZ taken from from "Adobe RGB (1998) ColorImage Encoding" // URL:http://www.adobe.com/digitalimag/pdfs/AdobeRGB1998.pdf // Section: 4.3.5.3 // See Also: http://en.wikipedia.org/wiki/Adobe_rgb float x = MAT_ROW_MULT(0.57667f, 0.18556f, 0.18823f); float y = MAT_ROW_MULT(0.29734f, 0.62736f, 0.07529f); float z = MAT_ROW_MULT(0.02703f, 0.07069f, 0.99134f); // The following is the white point in XYZ, so it's simply the row wise addition of the above // matrix. const float xw = 0.5767f + 0.185556f + 0.188212f; const float yw = 0.297361f + 0.627355f + 0.0752847f; const float zw = 0.0270328f + 0.0706879f + 0.991248f; // This is the XYZ color point relative to the white point float f[3] = { x / xw, y / yw, z / zw }; // Conversion from XYZ to LAB taken from // http://en.wikipedia.org/wiki/CIELAB#Forward_transformation for (int i = 0; i < 3; i++) { if (f[i] >= 0.008856f) { f[i] = SkPMetricUtil::get_cube_root(f[i]); } else { f[i] = 7.787f * f[i] + 4.0f / 29.0f; } } lab->l = 116.0f * f[1] - 16.0f; lab->a = 500.0f * (f[0] - f[1]); lab->b = 200.0f * (f[1] - f[2]); } /// Converts a 8888 bitmap to LAB color space and puts it into the output static bool bitmap_to_cielab(const SkBitmap* bitmap, ImageLAB* outImageLAB) { SkBitmap bm8888; if (bitmap->colorType() != kN32_SkColorType) { if (!bitmap->copyTo(&bm8888, kN32_SkColorType)) { return false; } bitmap = &bm8888; } int width = bitmap->width(); int height = bitmap->height(); SkASSERT(outImageLAB->width == width); SkASSERT(outImageLAB->height == height); bitmap->lockPixels(); RGB rgb; LAB lab; for (int y = 0; y < height; y++) { unsigned char* row = (unsigned char*)bitmap->getAddr(0, y); for (int x = 0; x < width; x++) { // Perform gamma correction which is assumed to be 2.2 rgb.r = SkPMetricUtil::get_gamma(row[x * 4 + 2]); rgb.g = SkPMetricUtil::get_gamma(row[x * 4 + 1]); rgb.b = SkPMetricUtil::get_gamma(row[x * 4 + 0]); adobergb_to_cielab(rgb.r, rgb.g, rgb.b, &lab); outImageLAB->writePixel(x, y, lab); } } bitmap->unlockPixels(); return true; } // From Barten SPIE 1989 static float contrast_sensitivity(float cyclesPerDegree, float luminance) { float a = 440.0f * powf(1.0f + 0.7f / luminance, -0.2f); float b = 0.3f * powf(1.0f + 100.0f / luminance, 0.15f); float exp = expf(-b * cyclesPerDegree); float root = sqrtf(1.0f + 0.06f * expf(b * cyclesPerDegree)); if (!SkScalarIsFinite(exp) || !SkScalarIsFinite(root)) { return 0; } return a * cyclesPerDegree * exp * root; } #if 0 // We're keeping these around for reference and in case the lookup tables are no longer desired. // They are no longer called by any code in this file. // From Daly 1993 static float visual_mask(float contrast) { float x = powf(392.498f * contrast, 0.7f); x = powf(0.0153f * x, 4.0f); return powf(1.0f + x, 0.25f); } // From Ward Larson Siggraph 1997 static float threshold_vs_intensity(float adaptationLuminance) { float logLum = log10f(adaptationLuminance); float x; if (logLum < -3.94f) { x = -2.86f; } else if (logLum < -1.44f) { x = powf(0.405f * logLum + 1.6f, 2.18) - 2.86f; } else if (logLum < -0.0184f) { x = logLum - 0.395f; } else if (logLum < 1.9f) { x = powf(0.249f * logLum + 0.65f, 2.7f) - 0.72f; } else { x = logLum - 1.255f; } return powf(10.0f, x); } #endif /// Simply takes the L channel from the input and puts it into the output static void lab_to_l(const ImageLAB* imageLAB, ImageL* outImageL) { for (int y = 0; y < imageLAB->height; y++) { for (int x = 0; x < imageLAB->width; x++) { LAB lab; imageLAB->readPixel(x, y, &lab); outImageL->writePixel(x, y, lab.l); } } } /// Convolves an image with the given filter in one direction and saves it to the output image static void convolve(const ImageL* imageL, bool vertical, ImageL* outImageL) { SkASSERT(imageL->width == outImageL->width); SkASSERT(imageL->height == outImageL->height); const float matrix[] = { 0.05f, 0.25f, 0.4f, 0.25f, 0.05f }; const int matrixCount = sizeof(matrix) / sizeof(float); const int radius = matrixCount / 2; // Keep track of what rows are being operated on for quick access. float* rowPtrs[matrixCount]; // Because matrixCount is constant, this won't create a VLA for (int y = radius; y < matrixCount; y++) { rowPtrs[y] = imageL->getRow(y - radius); } float* writeRow = outImageL->getRow(0); for (int y = 0; y < imageL->height; y++) { for (int x = 0; x < imageL->width; x++) { float lSum = 0.0f; for (int xx = -radius; xx <= radius; xx++) { int nx = x; int ny = y; // We mirror at edges so that edge pixels that the filter weighting still makes // sense. if (vertical) { ny += xx; if (ny < 0) { ny = -ny; } if (ny >= imageL->height) { ny = imageL->height + (imageL->height - ny - 1); } } else { nx += xx; if (nx < 0) { nx = -nx; } if (nx >= imageL->width) { nx = imageL->width + (imageL->width - nx - 1); } } float weight = matrix[xx + radius]; lSum += rowPtrs[ny - y + radius][nx] * weight; } writeRow[x] = lSum; } // As we move down, scroll the row pointers down with us for (int y = 0; y < matrixCount - 1; y++) { rowPtrs[y] = rowPtrs[y + 1]; } rowPtrs[matrixCount - 1] += imageL->width; writeRow += imageL->width; } } static double pmetric(const ImageLAB* baselineLAB, const ImageLAB* testLAB, int* poiCount) { SkASSERT(baselineLAB); SkASSERT(testLAB); SkASSERT(poiCount); int width = baselineLAB->width; int height = baselineLAB->height; int maxLevels = 0; // Calculates how many levels to make by how many times the image can be divided in two int smallerDimension = width < height ? width : height; for ( ; smallerDimension > 1; smallerDimension /= 2) { maxLevels++; } // We'll be creating new arrays with maxLevels - 2, and ImageL3D requires maxLevels > 0, // so just return failure if we're less than 3. if (maxLevels <= 2) { return 0.0; } const float fov = SK_ScalarPI / 180.0f * 45.0f; float contrastSensitivityMax = contrast_sensitivity(3.248f, 100.0f); float pixelsPerDegree = width / (2.0f * tanf(fov * 0.5f) * 180.0f / SK_ScalarPI); ImageL3D baselineL(width, height, maxLevels); ImageL3D testL(width, height, maxLevels); ImageL scratchImageL(width, height); float* cyclesPerDegree = SkNEW_ARRAY(float, maxLevels); float* thresholdFactorFrequency = SkNEW_ARRAY(float, maxLevels - 2); float* contrast = SkNEW_ARRAY(float, maxLevels - 2); lab_to_l(baselineLAB, baselineL.getLayer(0)); lab_to_l(testLAB, testL.getLayer(0)); // Compute cpd - Cycles per degree on the pyramid cyclesPerDegree[0] = 0.5f * pixelsPerDegree; for (int levelIndex = 1; levelIndex < maxLevels; levelIndex++) { cyclesPerDegree[levelIndex] = cyclesPerDegree[levelIndex - 1] * 0.5f; } // Contrast sensitivity is based on image dimensions. Therefore it cannot be statically // generated. float* contrastSensitivityTable = SkNEW_ARRAY(float, maxLevels * 1000); for (int levelIndex = 0; levelIndex < maxLevels; levelIndex++) { for (int csLum = 0; csLum < 1000; csLum++) { contrastSensitivityTable[levelIndex * 1000 + csLum] = contrast_sensitivity(cyclesPerDegree[levelIndex], (float)csLum / 10.0f + 1e-5f); } } // Compute G - The convolved lum for the baseline for (int levelIndex = 1; levelIndex < maxLevels; levelIndex++) { convolve(baselineL.getLayer(levelIndex - 1), false, &scratchImageL); convolve(&scratchImageL, true, baselineL.getLayer(levelIndex)); } for (int levelIndex = 1; levelIndex < maxLevels; levelIndex++) { convolve(testL.getLayer(levelIndex - 1), false, &scratchImageL); convolve(&scratchImageL, true, testL.getLayer(levelIndex)); } // Compute F_freq - The elevation f for (int levelIndex = 0; levelIndex < maxLevels - 2; levelIndex++) { float cpd = cyclesPerDegree[levelIndex]; thresholdFactorFrequency[levelIndex] = contrastSensitivityMax / contrast_sensitivity(cpd, 100.0f); } // Calculate F for (int y = 0; y < height; y++) { for (int x = 0; x < width; x++) { float lBaseline; float lTest; baselineL.getLayer(0)->readPixel(x, y, &lBaseline); testL.getLayer(0)->readPixel(x, y, &lTest); float avgLBaseline; float avgLTest; baselineL.getLayer(maxLevels - 1)->readPixel(x, y, &avgLBaseline); testL.getLayer(maxLevels - 1)->readPixel(x, y, &avgLTest); float lAdapt = 0.5f * (avgLBaseline + avgLTest); if (lAdapt < 1e-5f) { lAdapt = 1e-5f; } float contrastSum = 0.0f; for (int levelIndex = 0; levelIndex < maxLevels - 2; levelIndex++) { float baselineL0, baselineL1, baselineL2; float testL0, testL1, testL2; baselineL.getLayer(levelIndex + 0)->readPixel(x, y, &baselineL0); testL. getLayer(levelIndex + 0)->readPixel(x, y, &testL0); baselineL.getLayer(levelIndex + 1)->readPixel(x, y, &baselineL1); testL. getLayer(levelIndex + 1)->readPixel(x, y, &testL1); baselineL.getLayer(levelIndex + 2)->readPixel(x, y, &baselineL2); testL. getLayer(levelIndex + 2)->readPixel(x, y, &testL2); float baselineContrast1 = fabsf(baselineL0 - baselineL1); float testContrast1 = fabsf(testL0 - testL1); float numerator = (baselineContrast1 > testContrast1) ? baselineContrast1 : testContrast1; float baselineContrast2 = fabsf(baselineL2); float testContrast2 = fabsf(testL2); float denominator = (baselineContrast2 > testContrast2) ? baselineContrast2 : testContrast2; // Avoid divides by close to zero if (denominator < 1e-5f) { denominator = 1e-5f; } contrast[levelIndex] = numerator / denominator; contrastSum += contrast[levelIndex]; } if (contrastSum < 1e-5f) { contrastSum = 1e-5f; } float F = 0.0f; for (int levelIndex = 0; levelIndex < maxLevels - 2; levelIndex++) { float contrastSensitivity = contrastSensitivityTable[levelIndex * 1000 + (int)(lAdapt * 10.0)]; float mask = SkPMetricUtil::get_visual_mask(contrast[levelIndex] * contrastSensitivity); F += contrast[levelIndex] + thresholdFactorFrequency[levelIndex] * mask / contrastSum; } if (F < 1.0f) { F = 1.0f; } if (F > 10.0f) { F = 10.0f; } bool isFailure = false; if (fabsf(lBaseline - lTest) > F * SkPMetricUtil::get_threshold_vs_intensity(lAdapt)) { isFailure = true; } else { LAB baselineColor; LAB testColor; baselineLAB->readPixel(x, y, &baselineColor); testLAB->readPixel(x, y, &testColor); float contrastA = baselineColor.a - testColor.a; float contrastB = baselineColor.b - testColor.b; float colorScale = 1.0f; if (lAdapt < 10.0f) { colorScale = lAdapt / 10.0f; } colorScale *= colorScale; if ((contrastA * contrastA + contrastB * contrastB) * colorScale > F) { isFailure = true; } } if (isFailure) { (*poiCount)++; } } } SkDELETE_ARRAY(cyclesPerDegree); SkDELETE_ARRAY(contrast); SkDELETE_ARRAY(thresholdFactorFrequency); SkDELETE_ARRAY(contrastSensitivityTable); return 1.0 - (double)(*poiCount) / (width * height); } bool SkPMetric::diff(SkBitmap* baseline, SkBitmap* test, bool computeMask, Result* result) const { double startTime = get_seconds(); // Ensure the images are comparable if (baseline->width() != test->width() || baseline->height() != test->height() || baseline->width() <= 0 || baseline->height() <= 0) { return false; } ImageLAB baselineLAB(baseline->width(), baseline->height()); ImageLAB testLAB(baseline->width(), baseline->height()); if (!bitmap_to_cielab(baseline, &baselineLAB) || !bitmap_to_cielab(test, &testLAB)) { return true; } result->poiCount = 0; result->result = pmetric(&baselineLAB, &testLAB, &result->poiCount); result->timeElapsed = get_seconds() - startTime; return true; }