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image/draw: add Drawer, FloydSteinberg and the op.Draw method.

R=r, andybons
CC=andybons, golang-dev
https://golang.org/cl/10977043
This commit is contained in:
Nigel Tao 2013-07-11 08:47:29 +10:00
parent dff0c19446
commit e430eb8bd7
3 changed files with 268 additions and 35 deletions

View File

@ -253,13 +253,6 @@ func gray16Model(c Color) Color {
// Palette is a palette of colors.
type Palette []Color
func diff(a, b uint32) uint32 {
if a > b {
return a - b
}
return b - a
}
// Convert returns the palette color closest to c in Euclidean R,G,B space.
func (p Palette) Convert(c Color) Color {
if len(p) == 0 {
@ -271,19 +264,20 @@ func (p Palette) Convert(c Color) Color {
// Index returns the index of the palette color closest to c in Euclidean
// R,G,B space.
func (p Palette) Index(c Color) int {
// A batch version of this computation is in image/draw/draw.go.
cr, cg, cb, _ := c.RGBA()
// Shift by 1 bit to avoid potential uint32 overflow in sum-squared-difference.
cr >>= 1
cg >>= 1
cb >>= 1
ret, bestSSD := 0, uint32(1<<32-1)
for i, v := range p {
vr, vg, vb, _ := v.RGBA()
vr >>= 1
vg >>= 1
vb >>= 1
dr, dg, db := diff(cr, vr), diff(cg, vg), diff(cb, vb)
ssd := (dr * dr) + (dg * dg) + (db * db)
// We shift by 1 bit to avoid potential uint32 overflow in
// sum-squared-difference.
delta := (int32(cr) - int32(vr)) >> 1
ssd := uint32(delta * delta)
delta = (int32(cg) - int32(vg)) >> 1
ssd += uint32(delta * delta)
delta = (int32(cb) - int32(vb)) >> 1
ssd += uint32(delta * delta)
if ssd < bestSSD {
if ssd == 0 {
return i

View File

@ -16,6 +16,12 @@ import (
// m is the maximum color value returned by image.Color.RGBA.
const m = 1<<16 - 1
// A draw.Image is an image.Image with a Set method to change a single pixel.
type Image interface {
image.Image
Set(x, y int, c color.Color)
}
// Op is a Porter-Duff compositing operator.
type Op int
@ -26,15 +32,31 @@ const (
Src
)
// A draw.Image is an image.Image with a Set method to change a single pixel.
type Image interface {
image.Image
Set(x, y int, c color.Color)
// Draw implements the Drawer interface by calling the Draw function with this
// Op.
func (op Op) Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point) {
DrawMask(dst, r, src, sp, nil, image.Point{}, op)
}
// Draw calls DrawMask with a nil mask.
func Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point, op Op) {
DrawMask(dst, r, src, sp, nil, image.ZP, op)
// Drawer contains the Draw method.
type Drawer interface {
// Draw aligns r.Min in dst with sp in src and then replaces the
// rectangle r in dst with the result of drawing src on dst.
Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point)
}
// FloydSteinberg is a Drawer that is the Src Op with Floyd-Steinberg error
// diffusion.
var FloydSteinberg Drawer = floydSteinberg{}
type floydSteinberg struct{}
func (floydSteinberg) Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point) {
clip(dst, &r, src, &sp, nil, nil)
if r.Empty() {
return
}
drawPaletted(dst, r, src, sp, true)
}
// clip clips r against each image's bounds (after translating into the
@ -58,6 +80,17 @@ func clip(dst Image, r *image.Rectangle, src image.Image, sp *image.Point, mask
(*mp).Y += dy
}
func processBackward(dst Image, r image.Rectangle, src image.Image, sp image.Point) bool {
return image.Image(dst) == src &&
r.Overlaps(r.Add(sp.Sub(r.Min))) &&
(sp.Y < r.Min.Y || (sp.Y == r.Min.Y && sp.X < r.Min.X))
}
// Draw calls DrawMask with a nil mask.
func Draw(dst Image, r image.Rectangle, src image.Image, sp image.Point, op Op) {
DrawMask(dst, r, src, sp, nil, image.Point{}, op)
}
// DrawMask aligns r.Min in dst with sp in src and mp in mask and then replaces the rectangle r
// in dst with the result of a Porter-Duff composition. A nil mask is treated as opaque.
func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mask image.Image, mp image.Point, op Op) {
@ -67,7 +100,8 @@ func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mas
}
// Fast paths for special cases. If none of them apply, then we fall back to a general but slow implementation.
if dst0, ok := dst.(*image.RGBA); ok {
switch dst0 := dst.(type) {
case *image.RGBA:
if op == Over {
if mask == nil {
switch src0 := src.(type) {
@ -113,19 +147,20 @@ func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mas
}
drawRGBA(dst0, r, src, sp, mask, mp, op)
return
case *image.Paletted:
if op == Src && mask == nil && !processBackward(dst, r, src, sp) {
drawPaletted(dst0, r, src, sp, false)
}
}
x0, x1, dx := r.Min.X, r.Max.X, 1
y0, y1, dy := r.Min.Y, r.Max.Y, 1
if image.Image(dst) == src && r.Overlaps(r.Add(sp.Sub(r.Min))) {
// Rectangles overlap: process backward?
if sp.Y < r.Min.Y || sp.Y == r.Min.Y && sp.X < r.Min.X {
x0, x1, dx = x1-1, x0-1, -1
y0, y1, dy = y1-1, y0-1, -1
}
if processBackward(dst, r, src, sp) {
x0, x1, dx = x1-1, x0-1, -1
y0, y1, dy = y1-1, y0-1, -1
}
var out *color.RGBA64
var out color.RGBA64
sy := sp.Y + y0 - r.Min.Y
my := mp.Y + y0 - r.Min.Y
for y := y0; y != y1; y, sy, my = y+dy, sy+dy, my+dy {
@ -147,9 +182,6 @@ func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mas
dst.Set(x, y, src.At(sx, sy))
default:
sr, sg, sb, sa := src.At(sx, sy).RGBA()
if out == nil {
out = new(color.RGBA64)
}
if op == Over {
dr, dg, db, da := dst.At(x, y).RGBA()
a := m - (sa * ma / m)
@ -163,7 +195,11 @@ func DrawMask(dst Image, r image.Rectangle, src image.Image, sp image.Point, mas
out.B = uint16(sb * ma / m)
out.A = uint16(sa * ma / m)
}
dst.Set(x, y, out)
// The third argument is &out instead of out (and out is
// declared outside of the inner loop) to avoid the implicit
// conversion to color.Color here allocating memory in the
// inner loop if sizeof(color.RGBA64) > sizeof(uintptr).
dst.Set(x, y, &out)
}
}
}
@ -500,3 +536,131 @@ func drawRGBA(dst *image.RGBA, r image.Rectangle, src image.Image, sp image.Poin
i0 += dy * dst.Stride
}
}
// clamp clamps i to the interval [0, 0xffff].
func clamp(i int32) int32 {
if i < 0 {
return 0
}
if i > 0xffff {
return 0xffff
}
return i
}
func drawPaletted(dst Image, r image.Rectangle, src image.Image, sp image.Point, floydSteinberg bool) {
// TODO(nigeltao): handle the case where the dst and src overlap.
// Does it even make sense to try and do Floyd-Steinberg whilst
// walking the image backward (right-to-left bottom-to-top)?
// If dst is an *image.Paletted, we have a fast path for dst.Set and
// dst.At. The dst.Set equivalent is a batch version of the algorithm
// used by color.Palette's Index method in image/color/color.go, plus
// optional Floyd-Steinberg error diffusion.
palette, pix, stride := [][3]int32(nil), []byte(nil), 0
if p, ok := dst.(*image.Paletted); ok {
palette = make([][3]int32, len(p.Palette))
for i, col := range p.Palette {
r, g, b, _ := col.RGBA()
palette[i][0] = int32(r)
palette[i][1] = int32(g)
palette[i][2] = int32(b)
}
pix, stride = p.Pix[p.PixOffset(r.Min.X, r.Min.Y):], p.Stride
}
// quantErrorCurr and quantErrorNext are the Floyd-Steinberg quantization
// errors that have been propagated to the pixels in the current and next
// rows. The +2 simplifies calculation near the edges.
var quantErrorCurr, quantErrorNext [][3]int32
if floydSteinberg {
quantErrorCurr = make([][3]int32, r.Dx()+2)
quantErrorNext = make([][3]int32, r.Dx()+2)
}
// Loop over each source pixel.
out := color.RGBA64{A: 0xffff}
for y := 0; y != r.Dy(); y++ {
for x := 0; x != r.Dx(); x++ {
// er, eg and eb are the pixel's R,G,B values plus the
// optional Floyd-Steinberg error.
sr, sg, sb, _ := src.At(sp.X+x, sp.Y+y).RGBA()
er, eg, eb := int32(sr), int32(sg), int32(sb)
if floydSteinberg {
er = clamp(er + quantErrorCurr[x+1][0]/16)
eg = clamp(eg + quantErrorCurr[x+1][1]/16)
eb = clamp(eb + quantErrorCurr[x+1][2]/16)
}
if palette != nil {
// Find the closest palette color in Euclidean R,G,B space: the
// one that minimizes sum-squared-difference. We shift by 1 bit
// to avoid potential uint32 overflow in sum-squared-difference.
// TODO(nigeltao): consider smarter algorithms.
bestIndex, bestSSD := 0, uint32(1<<32-1)
for index, p := range palette {
delta := (er - p[0]) >> 1
ssd := uint32(delta * delta)
delta = (eg - p[1]) >> 1
ssd += uint32(delta * delta)
delta = (eb - p[2]) >> 1
ssd += uint32(delta * delta)
if ssd < bestSSD {
bestIndex, bestSSD = index, ssd
if ssd == 0 {
break
}
}
}
pix[y*stride+x] = byte(bestIndex)
if !floydSteinberg {
continue
}
er -= int32(palette[bestIndex][0])
eg -= int32(palette[bestIndex][1])
eb -= int32(palette[bestIndex][2])
} else {
out.R = uint16(er)
out.G = uint16(eg)
out.B = uint16(eb)
// The third argument is &out instead of out (and out is
// declared outside of the inner loop) to avoid the implicit
// conversion to color.Color here allocating memory in the
// inner loop if sizeof(color.RGBA64) > sizeof(uintptr).
dst.Set(r.Min.X+x, r.Min.Y+y, &out)
if !floydSteinberg {
continue
}
sr, sg, sb, _ = dst.At(r.Min.X+x, r.Min.Y+y).RGBA()
er -= int32(sr)
eg -= int32(sg)
eb -= int32(sb)
}
// Propagate the Floyd-Steinberg quantization error.
quantErrorNext[x+0][0] += er * 3
quantErrorNext[x+0][1] += eg * 3
quantErrorNext[x+0][2] += eb * 3
quantErrorNext[x+1][0] += er * 5
quantErrorNext[x+1][1] += eg * 5
quantErrorNext[x+1][2] += eb * 5
quantErrorNext[x+2][0] += er * 1
quantErrorNext[x+2][1] += eg * 1
quantErrorNext[x+2][2] += eb * 1
quantErrorCurr[x+2][0] += er * 7
quantErrorCurr[x+2][1] += eg * 7
quantErrorCurr[x+2][2] += eb * 7
}
// Recycle the quantization error buffers.
if floydSteinberg {
quantErrorCurr, quantErrorNext = quantErrorNext, quantErrorCurr
for i := range quantErrorNext {
quantErrorNext[i] = [3]int32{}
}
}
}
}

View File

@ -7,6 +7,8 @@ package draw
import (
"image"
"image/color"
"image/png"
"os"
"testing"
)
@ -352,3 +354,76 @@ func TestFill(t *testing.T) {
check("whole")
}
}
// TestFloydSteinbergCheckerboard tests that the result of Floyd-Steinberg
// error diffusion of a uniform 50% gray source image with a black-and-white
// palette is a checkerboard pattern.
func TestFloydSteinbergCheckerboard(t *testing.T) {
b := image.Rect(0, 0, 640, 480)
// We can't represent 50% exactly, but 0x7fff / 0xffff is close enough.
src := &image.Uniform{color.Gray16{0x7fff}}
dst := image.NewPaletted(b, color.Palette{color.Black, color.White})
FloydSteinberg.Draw(dst, b, src, image.Point{})
nErr := 0
for y := b.Min.Y; y < b.Max.Y; y++ {
for x := b.Min.X; x < b.Max.X; x++ {
got := dst.Pix[dst.PixOffset(x, y)]
want := uint8(x+y) % 2
if got != want {
t.Errorf("at (%d, %d): got %d, want %d", x, y, got, want)
if nErr++; nErr == 10 {
t.Fatal("there may be more errors")
}
}
}
}
}
// embeddedPaletted is an Image that behaves like an *image.Paletted but whose
// type is not *image.Paletted.
type embeddedPaletted struct {
*image.Paletted
}
// TestPaletted tests that the drawPaletted function behaves the same
// regardless of whether dst is an *image.Paletted.
func TestPaletted(t *testing.T) {
f, err := os.Open("../testdata/video-001.png")
if err != nil {
t.Fatal("open: %v", err)
}
defer f.Close()
src, err := png.Decode(f)
if err != nil {
t.Fatal("decode: %v", err)
}
b := src.Bounds()
cgaPalette := color.Palette{
color.RGBA{0x00, 0x00, 0x00, 0xff},
color.RGBA{0x55, 0xff, 0xff, 0xff},
color.RGBA{0xff, 0x55, 0xff, 0xff},
color.RGBA{0xff, 0xff, 0xff, 0xff},
}
drawers := map[string]Drawer{
"src": Src,
"floyd-steinberg": FloydSteinberg,
}
loop:
for dName, d := range drawers {
dst0 := image.NewPaletted(b, cgaPalette)
dst1 := image.NewPaletted(b, cgaPalette)
d.Draw(dst0, b, src, image.Point{})
d.Draw(embeddedPaletted{dst1}, b, src, image.Point{})
for y := b.Min.Y; y < b.Max.Y; y++ {
for x := b.Min.X; x < b.Max.X; x++ {
if !eq(dst0.At(x, y), dst1.At(x, y)) {
t.Errorf("%s: at (%d, %d), %v versus %v",
dName, x, y, dst0.At(x, y), dst1.At(x, y))
continue loop
}
}
}
}
}