gle*_*ebm 91 javascript css math algebra css-filters
我的问题是:给定目标RGB颜色,#000
使用CSS滤镜将黑色()重新着色为该颜色的公式是什么?
为了接受答案,它需要提供一个函数(以任何语言)接受目标颜色作为参数并返回相应的CSS filter
字符串.
对此的上下文是需要在a内重新着色SVG background-image
.在这种情况下,它是支持KaTeX中的某些TeX数学特性:https: //github.com/Khan/KaTeX/issues/587.
如果目标颜色为#ffff00
(黄色),则一个正确的解决方案是:
filter: invert(100%) sepia() saturate(10000%) hue-rotate(0deg)
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(演示)
强力搜索固定过滤器列表的参数:https
://stackoverflow.com/a/43959856/181228缺点:效率低下,只生成一些16,777,216种可能的颜色(676,248 hueRotateStep=1
).
使用SPSA的更快的搜索解决方案:https : //stackoverflow.com/a/43960991/181228 Bounty奖励
一个drop-shadow
解决方案:
/sf/answers/3077189741/
缺点:不上边缘运行.需要非filter
CSS更改和次要HTML更改.
您仍然可以通过提交非暴力解决方案获得接受的答案!
如何hue-rotate
和sepia
计算:
/sf/answers/2066480321/
例的Ruby实现:
LUM_R = 0.2126; LUM_G = 0.7152; LUM_B = 0.0722
HUE_R = 0.1430; HUE_G = 0.1400; HUE_B = 0.2830
def clamp(num)
[0, [255, num].min].max.round
end
def hue_rotate(r, g, b, angle)
angle = (angle % 360 + 360) % 360
cos = Math.cos(angle * Math::PI / 180)
sin = Math.sin(angle * Math::PI / 180)
[clamp(
r * ( LUM_R + (1 - LUM_R) * cos - LUM_R * sin ) +
g * ( LUM_G - LUM_G * cos - LUM_G * sin ) +
b * ( LUM_B - LUM_B * cos + (1 - LUM_B) * sin )),
clamp(
r * ( LUM_R - LUM_R * cos + HUE_R * sin ) +
g * ( LUM_G + (1 - LUM_G) * cos + HUE_G * sin ) +
b * ( LUM_B - LUM_B * cos - HUE_B * sin )),
clamp(
r * ( LUM_R - LUM_R * cos - (1 - LUM_R) * sin ) +
g * ( LUM_G - LUM_G * cos + LUM_G * sin ) +
b * ( LUM_B + (1 - LUM_B) * cos + LUM_B * sin ))]
end
def sepia(r, g, b)
[r * 0.393 + g * 0.769 + b * 0.189,
r * 0.349 + g * 0.686 + b * 0.168,
r * 0.272 + g * 0.534 + b * 0.131]
end
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注意,clamp
上面使hue-rotate
函数非线性.
演示:从灰度颜色获得非灰度颜色:https: //stackoverflow.com/a/25524145/181228
一个几乎有效的公式(来自类似的问题):https:
//stackoverflow.com/a/29958459/181228
详细解释为什么上面的公式是错误的(CSS hue-rotate
不是真正的色调旋转而是线性近似):https:
//stackoverflow.com/a/19325417/2441511
Mul*_*er0 81
@Dave是第一个发布这个问题的答案(带有工作代码),他的回答是无耻复制的宝贵来源,并且给我带来了灵感.这篇文章的开头是为了解释和完善@ Dave的答案,但它已经发展成为自己的答案.
我的方法明显更快.根据随机生成的RGB颜色的jsPerf基准测试,@ Dave算法在600毫秒内运行,而我的算法在30毫秒内运行.这绝对重要,例如在加载时间内,速度至关重要.
此外,对于某些颜色,我的算法表现更好:
rgb(0,255,0)
,@ Dave的制作rgb(29,218,34)
和制作rgb(1,255,0)
rgb(0,0,255)
,@ Dave的生产rgb(37,39,255)
和矿产rgb(5,6,255)
rgb(19,11,118)
,@ Dave的生产rgb(36,27,102)
和矿产rgb(20,11,112)
"use strict";
class Color {
constructor(r, g, b) { this.set(r, g, b); }
toString() { return `rgb(${Math.round(this.r)}, ${Math.round(this.g)}, ${Math.round(this.b)})`; }
set(r, g, b) {
this.r = this.clamp(r);
this.g = this.clamp(g);
this.b = this.clamp(b);
}
hueRotate(angle = 0) {
angle = angle / 180 * Math.PI;
let sin = Math.sin(angle);
let cos = Math.cos(angle);
this.multiply([
0.213 + cos * 0.787 - sin * 0.213, 0.715 - cos * 0.715 - sin * 0.715, 0.072 - cos * 0.072 + sin * 0.928,
0.213 - cos * 0.213 + sin * 0.143, 0.715 + cos * 0.285 + sin * 0.140, 0.072 - cos * 0.072 - sin * 0.283,
0.213 - cos * 0.213 - sin * 0.787, 0.715 - cos * 0.715 + sin * 0.715, 0.072 + cos * 0.928 + sin * 0.072
]);
}
grayscale(value = 1) {
this.multiply([
0.2126 + 0.7874 * (1 - value), 0.7152 - 0.7152 * (1 - value), 0.0722 - 0.0722 * (1 - value),
0.2126 - 0.2126 * (1 - value), 0.7152 + 0.2848 * (1 - value), 0.0722 - 0.0722 * (1 - value),
0.2126 - 0.2126 * (1 - value), 0.7152 - 0.7152 * (1 - value), 0.0722 + 0.9278 * (1 - value)
]);
}
sepia(value = 1) {
this.multiply([
0.393 + 0.607 * (1 - value), 0.769 - 0.769 * (1 - value), 0.189 - 0.189 * (1 - value),
0.349 - 0.349 * (1 - value), 0.686 + 0.314 * (1 - value), 0.168 - 0.168 * (1 - value),
0.272 - 0.272 * (1 - value), 0.534 - 0.534 * (1 - value), 0.131 + 0.869 * (1 - value)
]);
}
saturate(value = 1) {
this.multiply([
0.213 + 0.787 * value, 0.715 - 0.715 * value, 0.072 - 0.072 * value,
0.213 - 0.213 * value, 0.715 + 0.285 * value, 0.072 - 0.072 * value,
0.213 - 0.213 * value, 0.715 - 0.715 * value, 0.072 + 0.928 * value
]);
}
multiply(matrix) {
let newR = this.clamp(this.r * matrix[0] + this.g * matrix[1] + this.b * matrix[2]);
let newG = this.clamp(this.r * matrix[3] + this.g * matrix[4] + this.b * matrix[5]);
let newB = this.clamp(this.r * matrix[6] + this.g * matrix[7] + this.b * matrix[8]);
this.r = newR; this.g = newG; this.b = newB;
}
brightness(value = 1) { this.linear(value); }
contrast(value = 1) { this.linear(value, -(0.5 * value) + 0.5); }
linear(slope = 1, intercept = 0) {
this.r = this.clamp(this.r * slope + intercept * 255);
this.g = this.clamp(this.g * slope + intercept * 255);
this.b = this.clamp(this.b * slope + intercept * 255);
}
invert(value = 1) {
this.r = this.clamp((value + (this.r / 255) * (1 - 2 * value)) * 255);
this.g = this.clamp((value + (this.g / 255) * (1 - 2 * value)) * 255);
this.b = this.clamp((value + (this.b / 255) * (1 - 2 * value)) * 255);
}
hsl() { // Code taken from https://stackoverflow.com/a/9493060/2688027, licensed under CC BY-SA.
let r = this.r / 255;
let g = this.g / 255;
let b = this.b / 255;
let max = Math.max(r, g, b);
let min = Math.min(r, g, b);
let h, s, l = (max + min) / 2;
if(max === min) {
h = s = 0;
} else {
let d = max - min;
s = l > 0.5 ? d / (2 - max - min) : d / (max + min);
switch(max) {
case r: h = (g - b) / d + (g < b ? 6 : 0); break;
case g: h = (b - r) / d + 2; break;
case b: h = (r - g) / d + 4; break;
} h /= 6;
}
return {
h: h * 100,
s: s * 100,
l: l * 100
};
}
clamp(value) {
if(value > 255) { value = 255; }
else if(value < 0) { value = 0; }
return value;
}
}
class Solver {
constructor(target) {
this.target = target;
this.targetHSL = target.hsl();
this.reusedColor = new Color(0, 0, 0); // Object pool
}
solve() {
let result = this.solveNarrow(this.solveWide());
return {
values: result.values,
loss: result.loss,
filter: this.css(result.values)
};
}
solveWide() {
const A = 5;
const c = 15;
const a = [60, 180, 18000, 600, 1.2, 1.2];
let best = { loss: Infinity };
for(let i = 0; best.loss > 25 && i < 3; i++) {
let initial = [50, 20, 3750, 50, 100, 100];
let result = this.spsa(A, a, c, initial, 1000);
if(result.loss < best.loss) { best = result; }
} return best;
}
solveNarrow(wide) {
const A = wide.loss;
const c = 2;
const A1 = A + 1;
const a = [0.25 * A1, 0.25 * A1, A1, 0.25 * A1, 0.2 * A1, 0.2 * A1];
return this.spsa(A, a, c, wide.values, 500);
}
spsa(A, a, c, values, iters) {
const alpha = 1;
const gamma = 0.16666666666666666;
let best = null;
let bestLoss = Infinity;
let deltas = new Array(6);
let highArgs = new Array(6);
let lowArgs = new Array(6);
for(let k = 0; k < iters; k++) {
let ck = c / Math.pow(k + 1, gamma);
for(let i = 0; i < 6; i++) {
deltas[i] = Math.random() > 0.5 ? 1 : -1;
highArgs[i] = values[i] + ck * deltas[i];
lowArgs[i] = values[i] - ck * deltas[i];
}
let lossDiff = this.loss(highArgs) - this.loss(lowArgs);
for(let i = 0; i < 6; i++) {
let g = lossDiff / (2 * ck) * deltas[i];
let ak = a[i] / Math.pow(A + k + 1, alpha);
values[i] = fix(values[i] - ak * g, i);
}
let loss = this.loss(values);
if(loss < bestLoss) { best = values.slice(0); bestLoss = loss; }
} return { values: best, loss: bestLoss };
function fix(value, idx) {
let max = 100;
if(idx === 2 /* saturate */) { max = 7500; }
else if(idx === 4 /* brightness */ || idx === 5 /* contrast */) { max = 200; }
if(idx === 3 /* hue-rotate */) {
if(value > max) { value = value % max; }
else if(value < 0) { value = max + value % max; }
} else if(value < 0) { value = 0; }
else if(value > max) { value = max; }
return value;
}
}
loss(filters) { // Argument is array of percentages.
let color = this.reusedColor;
color.set(0, 0, 0);
color.invert(filters[0] / 100);
color.sepia(filters[1] / 100);
color.saturate(filters[2] / 100);
color.hueRotate(filters[3] * 3.6);
color.brightness(filters[4] / 100);
color.contrast(filters[5] / 100);
let colorHSL = color.hsl();
return Math.abs(color.r - this.target.r)
+ Math.abs(color.g - this.target.g)
+ Math.abs(color.b - this.target.b)
+ Math.abs(colorHSL.h - this.targetHSL.h)
+ Math.abs(colorHSL.s - this.targetHSL.s)
+ Math.abs(colorHSL.l - this.targetHSL.l);
}
css(filters) {
function fmt(idx, multiplier = 1) { return Math.round(filters[idx] * multiplier); }
return `filter: invert(${fmt(0)}%) sepia(${fmt(1)}%) saturate(${fmt(2)}%) hue-rotate(${fmt(3, 3.6)}deg) brightness(${fmt(4)}%) contrast(${fmt(5)}%);`;
}
}
$("button.execute").click(() => {
let rgb = $("input.target").val().split(",");
if (rgb.length !== 3) { alert("Invalid format!"); return; }
let color = new Color(rgb[0], rgb[1], rgb[2]);
let solver = new Solver(color);
let result = solver.solve();
let lossMsg;
if (result.loss < 1) {
lossMsg = "This is a perfect result.";
} else if (result.loss < 5) {
lossMsg = "The is close enough.";
} else if(result.loss < 15) {
lossMsg = "The color is somewhat off. Consider running it again.";
} else {
lossMsg = "The color is extremely off. Run it again!";
}
$(".realPixel").css("background-color", color.toString());
$(".filterPixel").attr("style", result.filter);
$(".filterDetail").text(result.filter);
$(".lossDetail").html(`Loss: ${result.loss.toFixed(1)}. <b>${lossMsg}</b>`);
});
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.pixel {
display: inline-block;
background-color: #000;
width: 50px;
height: 50px;
}
.filterDetail {
font-family: "Consolas", "Menlo", "Ubuntu Mono", monospace;
}
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<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<input class="target" type="text" placeholder="r, g, b" value="250, 150, 50" />
<button class="execute">Compute Filters</button>
<p>Real pixel, color applied through CSS <code>background-color</code>:</p>
<div class="pixel realPixel"></div>
<p>Filtered pixel, color applied through CSS <code>filter</code>:</p>
<div class="pixel filterPixel"></div>
<p class="filterDetail"></p>
<p class="lossDetail"></p>
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let color = new Color(0, 255, 0);
let solver = new Solver(color);
let result = solver.solve();
let filterCSS = result.css;
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我们将从编写一些Javascript开始.
"use strict";
class Color {
constructor(r, g, b) {
this.r = this.clamp(r);
this.g = this.clamp(g);
this.b = this.clamp(b);
} toString() { return `rgb(${Math.round(this.r)}, ${Math.round(this.g)}, ${Math.round(this.b)})`; }
hsl() { // Code taken from https://stackoverflow.com/a/9493060/2688027, licensed under CC BY-SA.
let r = this.r / 255;
let g = this.g / 255;
let b = this.b / 255;
let max = Math.max(r, g, b);
let min = Math.min(r, g, b);
let h, s, l = (max + min) / 2;
if(max === min) {
h = s = 0;
} else {
let d = max - min;
s = l > 0.5 ? d / (2 - max - min) : d / (max + min);
switch(max) {
case r: h = (g - b) / d + (g < b ? 6 : 0); break;
case g: h = (b - r) / d + 2; break;
case b: h = (r - g) / d + 4; break;
} h /= 6;
}
return {
h: h * 100,
s: s * 100,
l: l * 100
};
}
clamp(value) {
if(value > 255) { value = 255; }
else if(value < 0) { value = 0; }
return value;
}
}
class Solver {
constructor(target) {
this.target = target;
this.targetHSL = target.hsl();
}
css(filters) {
function fmt(idx, multiplier = 1) { return Math.round(filters[idx] * multiplier); }
return `filter: invert(${fmt(0)}%) sepia(${fmt(1)}%) saturate(${fmt(2)}%) hue-rotate(${fmt(3, 3.6)}deg) brightness(${fmt(4)}%) contrast(${fmt(5)}%);`;
}
}
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说明:
Color
类代表一个RGB色彩.
toString()
函数返回CSS rgb(...)
颜色字符串中的颜色.hsl()
函数返回颜色,转换为HSL.clamp()
功能确保给定的颜色值在边界内(0-255).Solver
班将尝试解决一个目标颜色.
css()
函数返回CSS过滤字符串中的给定过滤器.grayscale()
,sepia()
以及saturate()
CSS/SVG过滤器的核心是过滤器基元,它代表对图像的低级修改.
滤波器grayscale()
,sepia()
和saturate()
由滤波器原始实现<feColorMatrix>
,它在滤波器指定的矩阵(通常是动态生成的)之间执行矩阵乘法,以及从颜色创建的矩阵.图:
我们可以在这里进行一些优化:
1
.没有必要计算或存储它.A
),因为我们处理RGB而不是RGBA.<feColorMatrix>
过滤器都将第4列和第5列保留为零.因此,我们可以进一步将滤波器矩阵减少到3x3.执行:
function multiply(matrix) {
let newR = this.clamp(this.r * matrix[0] + this.g * matrix[1] + this.b * matrix[2]);
let newG = this.clamp(this.r * matrix[3] + this.g * matrix[4] + this.b * matrix[5]);
let newB = this.clamp(this.r * matrix[6] + this.g * matrix[7] + this.b * matrix[8]);
this.r = newR; this.g = newG; this.b = newB;
}
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(我们使用临时变量来保存每行乘法的结果,因为我们不希望this.r
对后续计算进行更改等.)
现在我们已经实现了<feColorMatrix>
,我们可以实现grayscale()
,sepia()
和saturate()
,只需使用给定的过滤器矩阵调用它:
function grayscale(value = 1) {
this.multiply([
0.2126 + 0.7874 * (1 - value), 0.7152 - 0.7152 * (1 - value), 0.0722 - 0.0722 * (1 - value),
0.2126 - 0.2126 * (1 - value), 0.7152 + 0.2848 * (1 - value), 0.0722 - 0.0722 * (1 - value),
0.2126 - 0.2126 * (1 - value), 0.7152 - 0.7152 * (1 - value), 0.0722 + 0.9278 * (1 - value)
]);
}
function sepia(value = 1) {
this.multiply([
0.393 + 0.607 * (1 - value), 0.769 - 0.769 * (1 - value), 0.189 - 0.189 * (1 - value),
0.349 - 0.349 * (1 - value), 0.686 + 0.314 * (1 - value), 0.168 - 0.168 * (1 - value),
0.272 - 0.272 * (1 - value), 0.534 - 0.534 * (1 - value), 0.131 + 0.869 * (1 - value)
]);
}
function saturate(value = 1) {
this.multiply([
0.213 + 0.787 * value, 0.715 - 0.715 * value, 0.072 - 0.072 * value,
0.213 - 0.213 * value, 0.715 + 0.285 * value, 0.072 - 0.072 * value,
0.213 - 0.213 * value, 0.715 - 0.715 * value, 0.072 + 0.928 * value
]);
}
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hue-rotate()
该hue-rotate()
过滤器是通过实施<feColorMatrix type="hueRotate" />
.
滤波器矩阵的计算如下所示:
For instance, element a00 would be calculated like so:
Some notes:
Math.sin()
or Math.cos()
.Math.sin(angle)
and Math.cos(angle)
should be computed once and then cached.Implementation:
function hueRotate(angle = 0) {
angle = angle / 180 * Math.PI;
let sin = Math.sin(angle);
let cos = Math.cos(angle);
this.multiply([
0.213 + cos * 0.787 - sin * 0.213, 0.715 - cos * 0.715 - sin * 0.715, 0.072 - cos * 0.072 + sin * 0.928,
0.213 - cos * 0.213 + sin * 0.143, 0.715 + cos * 0.285 + sin * 0.140, 0.072 - cos * 0.072 - sin * 0.283,
0.213 - cos * 0.213 - sin * 0.787, 0.715 - cos * 0.715 + sin * 0.715, 0.072 + cos * 0.928 + sin * 0.072
]);
}
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brightness()
and contrast()
The brightness()
and contrast()
filters are implemented by <feComponentTransfer>
with <feFuncX type="linear" />
.
Each <feFuncX type="linear" />
element accepts a slope and intercept attribute. It then calculates each new color value through a simple formula:
value = slope * value + intercept
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This is easy to implement:
function linear(slope = 1, intercept = 0) {
this.r = this.clamp(this.r * slope + intercept * 255);
this.g = this.clamp(this.g * slope + intercept * 255);
this.b = this.clamp(this.b * slope + intercept * 255);
}
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Once this is implemented, brightness()
and contrast()
can be implemented as well:
function brightness(value = 1) { this.linear(value); }
function contrast(value = 1) { this.linear(value, -(0.5 * value) + 0.5); }
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invert()
The invert()
filter is implemented by <feComponentTransfer>
with <feFuncX type="table" />
.
The spec states:
In the following, C is the initial component and C' is the remapped component; both in the closed interval [0,1].
For "table", the function is defined by linear interpolation between values given in the attribute tableValues. The table has n + 1 values (i.e., v0 to vn) specifying the start and end values for n evenly sized interpolation regions. Interpolations use the following formula:
For a value C find k such that:
k/n ? C < (k + 1)/n
The result C' is given by:
C' = vk + (C - k/n)*n*(vk+1 - vk)
An explanation of this formula:
invert()
filter defines this table: [value, 1 - value]. This is tableValues or v.Thus, we can simplify the formula to:
C' = v0 + C*(v1 - v0)
Inlining the table's values, we are left with:
C' = value + C*(1 - value - value)
One more simplification:
C' = value + C*(1 - 2*value)
The spec defines C and C' to be RGB values, within the bounds 0-1 (as opposed to 0-255). As a result, we must scale down the values before computation, and scale them back up after.
Thus we arrive at our implementation:
function invert(value = 1) {
this.r = this.clamp((value + (this.r / 255) * (1 - 2 * value)) * 255);
this.g = this.clamp((value + (this.g / 255) * (1 - 2 * value)) * 255);
this.b = this.clamp((value + (this.b / 255) * (1 - 2 * value)) * 255);
}
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@Dave's code generates 176,660 filter combinations, including:
invert()
filters (0%, 10%, 20%, ..., 100%)sepia()
filters (0%, 10%, 20%, ..., 100%)saturate()
filters (5%, 10%, 15%, ..., 100%)hue-rotate()
filters (0deg, 5deg, 10deg, ..., 360deg)It calculates filters in the following order:
filter: invert(a%) sepia(b%) saturate(c%) hue-rotate(?deg);
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It then iterates through all computed colors. It stops once it has found a generated color within tolerance (all RGB values are within 5 units from the target color).
However, this is slow and inefficient. Thus, I present my own answer.
First, we must define a loss function, that returns the difference between the color produced by a filter combination, and the target color. If the filters are perfect, the loss function should return 0.
We will measure color difference as the sum of two metrics:
hue-rotate()
, saturation correlates with saturate()
, etc.) This guides the algorithm.The loss function will take one argument – an array of filter percentages.
We will use the following filter order:
filter: invert(a%) sepia(b%) saturate(c%) hue-rotate(?deg) brightness(e%) contrast(f%);
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Implementation:
function loss(filters) {
let color = new Color(0, 0, 0);
color.invert(filters[0] / 100);
color.sepia(filters[1] / 100);
color.saturate(filters[2] / 100);
color.hueRotate(filters[3] * 3.6);
color.brightness(filters[4] / 100);
color.contrast(filters[5] / 100);
let colorHSL = color.hsl();
return Math.abs(color.r - this.target.r)
+ Math.abs(color.g - this.target.g)
+ Math.abs(color.b - this.target.b)
+ Math.abs(colorHSL.h - this.targetHSL.h)
+ Math.abs(colorHSL.s - this.targetHSL.s)
+ Math.abs(colorHSL.l - this.targetHSL.l);
}
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We will try to minimize the loss function, such that:
loss([a, b, c, d, e, f]) = 0
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The SPSA algorithm (website, more info, paper, implementation paper, reference code) is very good at this. It was designed to optimize complex systems with local minima, noisy/nonlinear/ multivariate loss functions, etc. It has been used to tune chess engines. And unlike many other algorithms, the papers describing it are actually comprehensible (albeit with great effort).
Implementation:
function spsa(A, a, c, values, iters) {
const alpha = 1;
const gamma = 0.16666666666666666;
let best = null;
let bestLoss = Infinity;
let deltas = new Array(6);
let highArgs = new Array(6);
let lowArgs = new Array(6);
for(let k = 0; k < iters; k++) {
let ck = c / Math.pow(k + 1, gamma);
for(let i = 0; i < 6; i++) {
deltas[i] = Math.random() > 0.5 ? 1 : -1;
highArgs[i] = values[i] + ck * deltas[i];
lowArgs[i] = values[i] - ck * deltas[i];
}
let lossDiff = this.loss(highArgs) - this.loss(lowArgs);
for(let i = 0; i < 6; i++) {
let g = lossDiff / (2 * ck) * deltas[i];
let ak = a[i] / Math.pow(A + k + 1, alpha);
values[i] = fix(values[i] - ak * g, i);
}
let loss = this.loss(values);
if(loss < bestLoss) { best = values.slice(0); bestLoss = loss; }
} return { values: best, loss: bestLoss };
function fix(value, idx) {
let max = 100;
if(idx === 2 /* saturate */) { max = 7500; }
else if(idx === 4 /* brightness */ || idx === 5 /* contrast */) { max = 200; }
if(idx === 3 /* hue-rotate */) {
if(value > max) { value = value % max; }
else if(value < 0) { value = max + value % max; }
} else if(value < 0) { value = 0; }
else if(value > max) { value = max; }
return value;
}
}
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I made some modifications/optimizations to SPSA:
deltas
, highArgs
, lowArgs
), instead of recreating them with each iteration.fix
function after each iteration. It clamps all values to between 0% and 100%, except saturate
(where the maximum is 7500%), brightness
and contrast
(where the maximum is 200%), and hueRotate
(where the values are wrapped around instead of clamped).I use SPSA in a two-stage process:
Implementation:
function solve() {
let result = this.solveNarrow(this.solveWide());
return {
values: result.values,
loss: result.loss,
filter: this.css(result.values)
};
}
function solveWide() {
const A = 5;
const c = 15;
const a = [60, 180, 18000, 600, 1.2, 1.2];
let best = { loss: Infinity };
for(let i = 0; best.loss > 25 && i < 3; i++) {
let initial = [50, 20, 3750, 50, 100, 100];
let result = this.spsa(A, a, c, initial, 1000);
if(result.loss < best.loss) { best = result; }
} return best;
}
function solveNarrow(wide) {
const A = wide.loss;
const c = 2;
const A1 = A + 1;
const a = [0.25 * A1, 0.25 * A1, A1, 0.25 * A1, 0.2 * A1, 0.2 * A1];
return this.spsa(A, a, c, wide.values, 500);
}
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Warning: Do not mess with the SPSA code, especially with its constants, unless you are sure you know what you are doing.
The important constants are A, a, c, the initial values, the retry thresholds, the values of max
in fix()
, and the number of iterations of each stage. All of these values were carefully tuned to produce good results, and randomly screwing with them will almost definitely reduce the usefulness of the algorithm.
如果您坚持要改变它,则必须在"优化"之前进行测量.
首先,应用此补丁.
然后在Node.js中运行代码.经过一段时间后,结果应该是这样的:
Average loss: 3.4768521401985275
Average time: 11.4915ms
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现在将常量调整到心脏的内容.
一些技巧:
--debug
如果要查看每次迭代的结果,请使用该标志.Dav*_*ave 47
这是一个相当于兔子洞的旅行,但在这里!
var tolerance = 1;
var invertRange = [0, 1];
var invertStep = 0.1;
var sepiaRange = [0, 1];
var sepiaStep = 0.1;
var saturateRange = [5, 100];
var saturateStep = 5;
var hueRotateRange = [0, 360];
var hueRotateStep = 5;
var possibleColors;
var color = document.getElementById('color');
var pixel = document.getElementById('pixel');
var filtersBox = document.getElementById('filters');
var button = document.getElementById('button');
button.addEventListener('click', function() {
getNewColor(color.value);
})
// matrices taken from https://www.w3.org/TR/filter-effects/#feColorMatrixElement
function sepiaMatrix(s) {
return [
(0.393 + 0.607 * (1 - s)), (0.769 - 0.769 * (1 - s)), (0.189 - 0.189 * (1 - s)),
(0.349 - 0.349 * (1 - s)), (0.686 + 0.314 * (1 - s)), (0.168 - 0.168 * (1 - s)),
(0.272 - 0.272 * (1 - s)), (0.534 - 0.534 * (1 - s)), (0.131 + 0.869 * (1 - s)),
]
}
function saturateMatrix(s) {
return [
0.213+0.787*s, 0.715-0.715*s, 0.072-0.072*s,
0.213-0.213*s, 0.715+0.285*s, 0.072-0.072*s,
0.213-0.213*s, 0.715-0.715*s, 0.072+0.928*s,
]
}
function hueRotateMatrix(d) {
var cos = Math.cos(d * Math.PI / 180);
var sin = Math.sin(d * Math.PI / 180);
var a00 = 0.213 + cos*0.787 - sin*0.213;
var a01 = 0.715 - cos*0.715 - sin*0.715;
var a02 = 0.072 - cos*0.072 + sin*0.928;
var a10 = 0.213 - cos*0.213 + sin*0.143;
var a11 = 0.715 + cos*0.285 + sin*0.140;
var a12 = 0.072 - cos*0.072 - sin*0.283;
var a20 = 0.213 - cos*0.213 - sin*0.787;
var a21 = 0.715 - cos*0.715 + sin*0.715;
var a22 = 0.072 + cos*0.928 + sin*0.072;
return [
a00, a01, a02,
a10, a11, a12,
a20, a21, a22,
]
}
function clamp(value) {
return value > 255 ? 255 : value < 0 ? 0 : value;
}
function filter(m, c) {
return [
clamp(m[0]*c[0] + m[1]*c[1] + m[2]*c[2]),
clamp(m[3]*c[0] + m[4]*c[1] + m[5]*c[2]),
clamp(m[6]*c[0] + m[7]*c[1] + m[8]*c[2]),
]
}
function invertBlack(i) {
return [
i * 255,
i * 255,
i * 255,
]
}
function generateColors() {
let possibleColors = [];
let invert = invertRange[0];
for (invert; invert <= invertRange[1]; invert+=invertStep) {
let sepia = sepiaRange[0];
for (sepia; sepia <= sepiaRange[1]; sepia+=sepiaStep) {
let saturate = saturateRange[0];
for (saturate; saturate <= saturateRange[1]; saturate+=saturateStep) {
let hueRotate = hueRotateRange[0];
for (hueRotate; hueRotate <= hueRotateRange[1]; hueRotate+=hueRotateStep) {
let invertColor = invertBlack(invert);
let sepiaColor = filter(sepiaMatrix(sepia), invertColor);
let saturateColor = filter(saturateMatrix(saturate), sepiaColor);
let hueRotateColor = filter(hueRotateMatrix(hueRotate), saturateColor);
let colorObject = {
filters: { invert, sepia, saturate, hueRotate },
color: hueRotateColor
}
possibleColors.push(colorObject);
}
}
}
}
return possibleColors;
}
function getFilters(targetColor, localTolerance) {
possibleColors = possibleColors || generateColors();
for (var i = 0; i < possibleColors.length; i++) {
var color = possibleColors[i].color;
if (
Math.abs(color[0] - targetColor[0]) < localTolerance &&
Math.abs(color[1] - targetColor[1]) < localTolerance &&
Math.abs(color[2] - targetColor[2]) < localTolerance
) {
return filters = possibleColors[i].filters;
break;
}
}
localTolerance += tolerance;
return getFilters(targetColor, localTolerance)
}
function getNewColor(color) {
var targetColor = color.split(',');
targetColor = [
parseInt(targetColor[0]), // [R]
parseInt(targetColor[1]), // [G]
parseInt(targetColor[2]), // [B]
]
var filters = getFilters(targetColor, tolerance);
var filtersCSS = 'filter: ' +
'invert('+Math.floor(filters.invert*100)+'%) '+
'sepia('+Math.floor(filters.sepia*100)+'%) ' +
'saturate('+Math.floor(filters.saturate*100)+'%) ' +
'hue-rotate('+Math.floor(filters.hueRotate)+'deg);';
pixel.style = filtersCSS;
filtersBox.innerText = filtersCSS
}
getNewColor(color.value);
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#pixel {
width: 50px;
height: 50px;
background: rgb(0,0,0);
}
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<input type="text" id="color" placeholder="R,G,B" value="250,150,50" />
<button id="button">get filters</button>
<div id="pixel"></div>
<div id="filters"></div>
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编辑:此解决方案不适用于生产用途,仅说明了可以采取的方法来实现OP的要求.因为它在色谱的某些区域很弱.通过在步骤迭代中更精细化或通过实现更多过滤器函数可以实现更好的结果,原因在@ MultiplyByZer0的答案中有详细描述.
EDIT2: OP正在寻找一种非暴力解决方案.在这种情况下,它非常简单,只需解决这个等式:
哪里
a = hue-rotation
b = saturation
c = sepia
d = invert
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Kai*_*ido 25
注意: OP要求我取消删除,但赏金将归Dave的回答.
我知道这不是问题正文中的问题,当然也不是我们都在等待的东西,但有一个CSS过滤器可以做到这一点:
drop-shadow()
警告:
/* the container used to hide the original bg */
.icon {
width: 60px;
height: 60px;
overflow: hidden;
}
/* the content */
.icon.green>span {
-webkit-filter: drop-shadow(60px 0px green);
filter: drop-shadow(60px 0px green);
}
.icon.red>span {
-webkit-filter: drop-shadow(60px 0px red);
filter: drop-shadow(60px 0px red);
}
.icon>span {
-webkit-filter: drop-shadow(60px 0px black);
filter: drop-shadow(60px 0px black);
background-position: -100% 0;
margin-left: -60px;
display: block;
width: 61px; /* +1px for chrome bug...*/
height: 60px;
background-image: url(data:image/svg+xml;base64,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);
}
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<div class="icon">
<span></span>
</div>
<div class="icon green">
<span></span>
</div>
<div class="icon red">
<span></span>
</div>
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Dav*_*tal 15
我使用 svg 过滤器从这个答案开始,并进行了以下修改:
如果您不想在标记中的某处定义SVG 过滤器,则可以改用数据 url(将R、G、B和A替换为所需的颜色):
filter: url('data:image/svg+xml;utf8,\
<svg xmlns="http://www.w3.org/2000/svg">\
<filter id="recolor" color-interpolation-filters="sRGB">\
<feColorMatrix type="matrix" values="\
0 0 0 0 R\
0 0 0 0 G\
0 0 0 0 B\
0 0 0 A 0\
"/>\
</filter>\
</svg>\
#recolor');
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如果上述版本不起作用,您还可以添加灰度回退。
该saturate
和brightness
功能将任何颜色为黑色(你不必包括如果颜色已经全黑了),invert
然后用所需的亮度(亮它大号)和可选,你也可以指定不透明度(一)。
filter: saturate(0%) brightness(0%) invert(L) opacity(A);
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如果要动态指定颜色,可以使用以下 SCSS mixin:
@mixin recolor($color: #000, $opacity: 1) {
$r: red($color) / 255;
$g: green($color) / 255;
$b: blue($color) / 255;
$a: $opacity;
// grayscale fallback if SVG from data url is not supported
$lightness: lightness($color);
filter: saturate(0%) brightness(0%) invert($lightness) opacity($opacity);
// color filter
$svg-filter-id: "recolor";
filter: url('data:image/svg+xml;utf8,\
<svg xmlns="http://www.w3.org/2000/svg">\
<filter id="#{$svg-filter-id}" color-interpolation-filters="sRGB">\
<feColorMatrix type="matrix" values="\
0 0 0 0 #{$r}\
0 0 0 0 #{$g}\
0 0 0 0 #{$b}\
0 0 0 #{$a} 0\
"/>\
</filter>\
</svg>\
##{$svg-filter-id}');
}
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.icon-green {
@include recolor(#00fa86, 0.8);
}
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hue-rotate
。您只需使用CSS引用的SVG过滤器就可以使这一切变得非常简单。您只需要一个feColorMatrix即可重新着色。此颜色重新着色为黄色。feColorMatrix中的第五列以单位比例保存RGB目标值。(黄色-1,1,0)
.icon {
filter: url(#recolorme);
}
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<svg height="0px" width="0px">
<defs>
#ffff00
<filter id="recolorme" color-interpolation-filters="sRGB">
<feColorMatrix type="matrix" values="0 0 0 0 1
0 0 0 0 1
0 0 0 0 0
0 0 0 1 0"/>
</filter>
</defs>
</svg>
<img class="icon" src="https://www.nouveauelevator.com/image/black-icon/android.png">
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小智 5
为了扩展David Dostals SCSS Mixin,我删除了不透明度参数并更新了语法以匹配新的 SASS 除法语法。
删除不透明度参数并直接从颜色值获取不透明度允许我获取任何给定的十六进制/RGBA颜色(例如来自SASS变量)并相应地应用过滤器。
@use "sass:math";
@mixin recolor($color: #000) {
$r: math.div(red($color), 255);
$g: math.div(green($color), 255);
$b: math.div(blue($color), 255);
$a: alpha($color);
// grayscale fallback if SVG from data url is not supported
$lightness: lightness($color);
filter: saturate(0%) brightness(0%) invert($lightness) opacity($a);
// color filter
$svg-filter-id: "recolor";
filter: url('data:image/svg+xml;utf8,\
<svg xmlns="http://www.w3.org/2000/svg">\
<filter id="#{$svg-filter-id}" color-interpolation-filters="sRGB">\
<feColorMatrix type="matrix" values="\
0 0 0 0 #{$r}\
0 0 0 0 #{$g}\
0 0 0 0 #{$b}\
0 0 0 #{$a} 0\
"/>\
</filter>\
</svg>\
##{$svg-filter-id}');
}
// applied with
@include recolor($arbitrary-color);
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