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package imaging
import (
"image"
"math"
)
type indexWeight struct {
index int
weight float64
}
func precomputeWeights(dstSize, srcSize int, filter ResampleFilter) [][]indexWeight {
du := float64(srcSize) / float64(dstSize)
scale := du
if scale < 1.0 {
scale = 1.0
}
ru := math.Ceil(scale * filter.Support)
out := make([][]indexWeight, dstSize)
tmp := make([]indexWeight, 0, dstSize*int(ru+2)*2)
for v := 0; v < dstSize; v++ {
fu := (float64(v)+0.5)*du - 0.5
begin := int(math.Ceil(fu - ru))
if begin < 0 {
begin = 0
}
end := int(math.Floor(fu + ru))
if end > srcSize-1 {
end = srcSize - 1
}
var sum float64
for u := begin; u <= end; u++ {
w := filter.Kernel((float64(u) - fu) / scale)
if w != 0 {
sum += w
tmp = append(tmp, indexWeight{index: u, weight: w})
}
}
if sum != 0 {
for i := range tmp {
tmp[i].weight /= sum
}
}
out[v] = tmp
tmp = tmp[len(tmp):]
}
return out
}
// Resize resizes the image to the specified width and height using the specified resampling
// filter and returns the transformed image. If one of width or height is 0, the image aspect
// ratio is preserved.
//
// Supported resample filters: NearestNeighbor, Box, Linear, Hermite, MitchellNetravali,
// CatmullRom, BSpline, Gaussian, Lanczos, Hann, Hamming, Blackman, Bartlett, Welch, Cosine.
//
// Usage example:
//
// dstImage := imaging.Resize(srcImage, 800, 600, imaging.Lanczos)
//
func Resize(img image.Image, width, height int, filter ResampleFilter) *image.NRGBA {
dstW, dstH := width, height
if dstW < 0 || dstH < 0 {
return &image.NRGBA{}
}
if dstW == 0 && dstH == 0 {
return &image.NRGBA{}
}
srcW := img.Bounds().Dx()
srcH := img.Bounds().Dy()
if srcW <= 0 || srcH <= 0 {
return &image.NRGBA{}
}
// If new width or height is 0 then preserve aspect ratio, minimum 1px.
if dstW == 0 {
tmpW := float64(dstH) * float64(srcW) / float64(srcH)
dstW = int(math.Max(1.0, math.Floor(tmpW+0.5)))
}
if dstH == 0 {
tmpH := float64(dstW) * float64(srcH) / float64(srcW)
dstH = int(math.Max(1.0, math.Floor(tmpH+0.5)))
}
if filter.Support <= 0 {
// Nearest-neighbor special case.
return resizeNearest(img, dstW, dstH)
}
if srcW != dstW && srcH != dstH {
return resizeVertical(resizeHorizontal(img, dstW, filter), dstH, filter)
}
if srcW != dstW {
return resizeHorizontal(img, dstW, filter)
}
if srcH != dstH {
return resizeVertical(img, dstH, filter)
}
return Clone(img)
}
func resizeHorizontal(img image.Image, width int, filter ResampleFilter) *image.NRGBA {
src := newScanner(img)
dst := image.NewNRGBA(image.Rect(0, 0, width, src.h))
weights := precomputeWeights(width, src.w, filter)
parallel(0, src.h, func(ys <-chan int) {
scanLine := make([]uint8, src.w*4)
for y := range ys {
src.scan(0, y, src.w, y+1, scanLine)
j0 := y * dst.Stride
for x := 0; x < width; x++ {
var r, g, b, a float64
for _, w := range weights[x] {
i := w.index * 4
aw := float64(scanLine[i+3]) * w.weight
r += float64(scanLine[i+0]) * aw
g += float64(scanLine[i+1]) * aw
b += float64(scanLine[i+2]) * aw
a += aw
}
if a != 0 {
aInv := 1 / a
j := j0 + x*4
dst.Pix[j+0] = clamp(r * aInv)
dst.Pix[j+1] = clamp(g * aInv)
dst.Pix[j+2] = clamp(b * aInv)
dst.Pix[j+3] = clamp(a)
}
}
}
})
return dst
}
func resizeVertical(img image.Image, height int, filter ResampleFilter) *image.NRGBA {
src := newScanner(img)
dst := image.NewNRGBA(image.Rect(0, 0, src.w, height))
weights := precomputeWeights(height, src.h, filter)
parallel(0, src.w, func(xs <-chan int) {
scanLine := make([]uint8, src.h*4)
for x := range xs {
src.scan(x, 0, x+1, src.h, scanLine)
for y := 0; y < height; y++ {
var r, g, b, a float64
for _, w := range weights[y] {
i := w.index * 4
aw := float64(scanLine[i+3]) * w.weight
r += float64(scanLine[i+0]) * aw
g += float64(scanLine[i+1]) * aw
b += float64(scanLine[i+2]) * aw
a += aw
}
if a != 0 {
aInv := 1 / a
j := y*dst.Stride + x*4
dst.Pix[j+0] = clamp(r * aInv)
dst.Pix[j+1] = clamp(g * aInv)
dst.Pix[j+2] = clamp(b * aInv)
dst.Pix[j+3] = clamp(a)
}
}
}
})
return dst
}
// resizeNearest is a fast nearest-neighbor resize, no filtering.
func resizeNearest(img image.Image, width, height int) *image.NRGBA {
dst := image.NewNRGBA(image.Rect(0, 0, width, height))
dx := float64(img.Bounds().Dx()) / float64(width)
dy := float64(img.Bounds().Dy()) / float64(height)
if dx > 1 && dy > 1 {
src := newScanner(img)
parallel(0, height, func(ys <-chan int) {
for y := range ys {
srcY := int((float64(y) + 0.5) * dy)
dstOff := y * dst.Stride
for x := 0; x < width; x++ {
srcX := int((float64(x) + 0.5) * dx)
src.scan(srcX, srcY, srcX+1, srcY+1, dst.Pix[dstOff:dstOff+4])
dstOff += 4
}
}
})
} else {
src := toNRGBA(img)
parallel(0, height, func(ys <-chan int) {
for y := range ys {
srcY := int((float64(y) + 0.5) * dy)
srcOff0 := srcY * src.Stride
dstOff := y * dst.Stride
for x := 0; x < width; x++ {
srcX := int((float64(x) + 0.5) * dx)
srcOff := srcOff0 + srcX*4
copy(dst.Pix[dstOff:dstOff+4], src.Pix[srcOff:srcOff+4])
dstOff += 4
}
}
})
}
return dst
}
// Fit scales down the image using the specified resample filter to fit the specified
// maximum width and height and returns the transformed image.
//
// Supported resample filters: NearestNeighbor, Box, Linear, Hermite, MitchellNetravali,
// CatmullRom, BSpline, Gaussian, Lanczos, Hann, Hamming, Blackman, Bartlett, Welch, Cosine.
//
// Usage example:
//
// dstImage := imaging.Fit(srcImage, 800, 600, imaging.Lanczos)
//
func Fit(img image.Image, width, height int, filter ResampleFilter) *image.NRGBA {
maxW, maxH := width, height
if maxW <= 0 || maxH <= 0 {
return &image.NRGBA{}
}
srcBounds := img.Bounds()
srcW := srcBounds.Dx()
srcH := srcBounds.Dy()
if srcW <= 0 || srcH <= 0 {
return &image.NRGBA{}
}
if srcW <= maxW && srcH <= maxH {
return Clone(img)
}
srcAspectRatio := float64(srcW) / float64(srcH)
maxAspectRatio := float64(maxW) / float64(maxH)
var newW, newH int
if srcAspectRatio > maxAspectRatio {
newW = maxW
newH = int(float64(newW) / srcAspectRatio)
} else {
newH = maxH
newW = int(float64(newH) * srcAspectRatio)
}
return Resize(img, newW, newH, filter)
}
// Fill scales the image to the smallest possible size that will cover the specified dimensions,
// crops the resized image to the specified dimensions using the given anchor point and returns
// the transformed image.
//
// Supported resample filters: NearestNeighbor, Box, Linear, Hermite, MitchellNetravali,
// CatmullRom, BSpline, Gaussian, Lanczos, Hann, Hamming, Blackman, Bartlett, Welch, Cosine.
//
// Usage example:
//
// dstImage := imaging.Fill(srcImage, 800, 600, imaging.Center, imaging.Lanczos)
//
func Fill(img image.Image, width, height int, anchor Anchor, filter ResampleFilter) *image.NRGBA {
minW, minH := width, height
if minW <= 0 || minH <= 0 {
return &image.NRGBA{}
}
srcBounds := img.Bounds()
srcW := srcBounds.Dx()
srcH := srcBounds.Dy()
if srcW <= 0 || srcH <= 0 {
return &image.NRGBA{}
}
if srcW == minW && srcH == minH {
return Clone(img)
}
srcAspectRatio := float64(srcW) / float64(srcH)
minAspectRatio := float64(minW) / float64(minH)
var tmp *image.NRGBA
if srcAspectRatio < minAspectRatio {
tmp = Resize(img, minW, 0, filter)
} else {
tmp = Resize(img, 0, minH, filter)
}
return CropAnchor(tmp, minW, minH, anchor)
}
// Thumbnail scales the image up or down using the specified resample filter, crops it
// to the specified width and hight and returns the transformed image.
//
// Supported resample filters: NearestNeighbor, Box, Linear, Hermite, MitchellNetravali,
// CatmullRom, BSpline, Gaussian, Lanczos, Hann, Hamming, Blackman, Bartlett, Welch, Cosine.
//
// Usage example:
//
// dstImage := imaging.Thumbnail(srcImage, 100, 100, imaging.Lanczos)
//
func Thumbnail(img image.Image, width, height int, filter ResampleFilter) *image.NRGBA {
return Fill(img, width, height, Center, filter)
}
// ResampleFilter is a resampling filter struct. It can be used to define custom filters.
//
// Supported resample filters: NearestNeighbor, Box, Linear, Hermite, MitchellNetravali,
// CatmullRom, BSpline, Gaussian, Lanczos, Hann, Hamming, Blackman, Bartlett, Welch, Cosine.
//
// General filter recommendations:
//
// - Lanczos
// High-quality resampling filter for photographic images yielding sharp results.
// It's slower than cubic filters (see below).
//
// - CatmullRom
// A sharp cubic filter. It's a good filter for both upscaling and downscaling if sharp results are needed.
//
// - MitchellNetravali
// A high quality cubic filter that produces smoother results with less ringing artifacts than CatmullRom.
//
// - BSpline
// A good filter if a very smooth output is needed.
//
// - Linear
// Bilinear interpolation filter, produces reasonably good, smooth output.
// It's faster than cubic filters.
//
// - Box
// Simple and fast averaging filter appropriate for downscaling.
// When upscaling it's similar to NearestNeighbor.
//
// - NearestNeighbor
// Fastest resampling filter, no antialiasing.
//
type ResampleFilter struct {
Support float64
Kernel func(float64) float64
}
// NearestNeighbor is a nearest-neighbor filter (no anti-aliasing).
var NearestNeighbor ResampleFilter
// Box filter (averaging pixels).
var Box ResampleFilter
// Linear filter.
var Linear ResampleFilter
// Hermite cubic spline filter (BC-spline; B=0; C=0).
var Hermite ResampleFilter
// MitchellNetravali is Mitchell-Netravali cubic filter (BC-spline; B=1/3; C=1/3).
var MitchellNetravali ResampleFilter
// CatmullRom is a Catmull-Rom - sharp cubic filter (BC-spline; B=0; C=0.5).
var CatmullRom ResampleFilter
// BSpline is a smooth cubic filter (BC-spline; B=1; C=0).
var BSpline ResampleFilter
// Gaussian is a Gaussian blurring Filter.
var Gaussian ResampleFilter
// Bartlett is a Bartlett-windowed sinc filter (3 lobes).
var Bartlett ResampleFilter
// Lanczos filter (3 lobes).
var Lanczos ResampleFilter
// Hann is a Hann-windowed sinc filter (3 lobes).
var Hann ResampleFilter
// Hamming is a Hamming-windowed sinc filter (3 lobes).
var Hamming ResampleFilter
// Blackman is a Blackman-windowed sinc filter (3 lobes).
var Blackman ResampleFilter
// Welch is a Welch-windowed sinc filter (parabolic window, 3 lobes).
var Welch ResampleFilter
// Cosine is a Cosine-windowed sinc filter (3 lobes).
var Cosine ResampleFilter
func bcspline(x, b, c float64) float64 {
var y float64
x = math.Abs(x)
if x < 1.0 {
y = ((12-9*b-6*c)*x*x*x + (-18+12*b+6*c)*x*x + (6 - 2*b)) / 6
} else if x < 2.0 {
y = ((-b-6*c)*x*x*x + (6*b+30*c)*x*x + (-12*b-48*c)*x + (8*b + 24*c)) / 6
}
return y
}
func sinc(x float64) float64 {
if x == 0 {
return 1
}
return math.Sin(math.Pi*x) / (math.Pi * x)
}
func init() {
NearestNeighbor = ResampleFilter{
Support: 0.0, // special case - not applying the filter
}
Box = ResampleFilter{
Support: 0.5,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x <= 0.5 {
return 1.0
}
return 0
},
}
Linear = ResampleFilter{
Support: 1.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 1.0 {
return 1.0 - x
}
return 0
},
}
Hermite = ResampleFilter{
Support: 1.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 1.0 {
return bcspline(x, 0.0, 0.0)
}
return 0
},
}
MitchellNetravali = ResampleFilter{
Support: 2.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 2.0 {
return bcspline(x, 1.0/3.0, 1.0/3.0)
}
return 0
},
}
CatmullRom = ResampleFilter{
Support: 2.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 2.0 {
return bcspline(x, 0.0, 0.5)
}
return 0
},
}
BSpline = ResampleFilter{
Support: 2.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 2.0 {
return bcspline(x, 1.0, 0.0)
}
return 0
},
}
Gaussian = ResampleFilter{
Support: 2.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 2.0 {
return math.Exp(-2 * x * x)
}
return 0
},
}
Bartlett = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * (3.0 - x) / 3.0
}
return 0
},
}
Lanczos = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * sinc(x/3.0)
}
return 0
},
}
Hann = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * (0.5 + 0.5*math.Cos(math.Pi*x/3.0))
}
return 0
},
}
Hamming = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * (0.54 + 0.46*math.Cos(math.Pi*x/3.0))
}
return 0
},
}
Blackman = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * (0.42 - 0.5*math.Cos(math.Pi*x/3.0+math.Pi) + 0.08*math.Cos(2.0*math.Pi*x/3.0))
}
return 0
},
}
Welch = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * (1.0 - (x * x / 9.0))
}
return 0
},
}
Cosine = ResampleFilter{
Support: 3.0,
Kernel: func(x float64) float64 {
x = math.Abs(x)
if x < 3.0 {
return sinc(x) * math.Cos((math.Pi/2.0)*(x/3.0))
}
return 0
},
}
}
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