及时绘制HTML5/Javascript画布路径

及时绘制HTML5/Javascript画布路径,javascript,canvas,html5-canvas,Javascript,Canvas,Html5 Canvas,假设我有一条路径: var context = canvas.getContext('2d'); context.beginPath(); context.moveTo(100, 20); context.lineTo(200, 160); context.quadraticCurveTo(230, 200, 250, 120); context.bezierCurveTo(290, -40, 300, 200, 400, 150); context.lineTo(500, 90); conte

假设我有一条路径:

var context = canvas.getContext('2d');
context.beginPath();
context.moveTo(100, 20);
context.lineTo(200, 160);
context.quadraticCurveTo(230, 200, 250, 120);
context.bezierCurveTo(290, -40, 300, 200, 400, 150);
context.lineTo(500, 90);
context.lineWidth = 5;
context.strokeStyle = 'blue';
context.stroke();
这将一次打印所有路径:

如何将路径拆分为给定长度的子路径?例如:
context.splitCurrentPathIntoSubPath(0,0.75)
应该只返回路径的前3/4


我想用这个来实现一个动画。如果有更简单的方法,也欢迎使用。

这是我的解决方案,基本上是在路径上方绘制一个矩形,然后每次帧更新都将矩形移动1 X位置,因此长方体将缓慢地移离路径,看起来像是在绘制动画路径

我已经为您保存了:)这是独立代码

window.addEventListener( "load", firstLoaded, false);

then = Date.now();
setInterval(main, 1); // Execute as fast as possible

var cube_x_position = 0;

function main()
{
    context.beginPath();
    context.moveTo(100, 20);
    context.lineTo(200, 160);
    context.quadraticCurveTo(230, 200, 250, 120);
    context.bezierCurveTo(290, -40, 300, 200, 400, 150);
    context.lineTo(500, 90);
    context.lineWidth = 5;
    context.strokeStyle = 'blue';
    context.stroke();

    context.fillRect(cube_x_position, 0, canvasHolder.width, canvasHolder.height);

    if(cube_x_position < canvasHolder.width)
    {
        cube_x_position += 1;
    }

}

function firstLoaded()
{
    canvasHolder = document.getElementById( 'canvas' );
    context = canvasHolder.getContext('2d');

    context.fillStyle = "#AAAAAA";
    context.fillRect( 0, 0, 500, 500);
}
window.addEventListener(“加载”,firstLoaded,false);
然后=Date.now();
设置间隔(主,1);//尽可能快地执行
var cube_x_位置=0;
函数main()
{
context.beginPath();
上下文。moveTo(100,20);
lineTo(200160);
二次曲线(230200250120);
贝塞尔曲线图(290,-40300200400150);
lineTo(500,90);
context.lineWidth=5;
context.strokeStyle='blue';
stroke();
context.fillRect(立方体x位置,0,canvashholder.width,canvashholder.height);
if(立方体x位置<画布支架宽度)
{
立方体x位置+=1;
}
}
函数firstLoaded()
{
canvasHolder=document.getElementById('canvas');
context=canvashholder.getContext('2d');
context.fillStyle=“#AAAAAA”;
fillRect(0,0500500);
}

在使用D3.js设置SVG圆弧动画时,我遇到了类似的问题。我的解决方案借鉴了这一点。它不是最直观的,但通常用于D3动画。它需要仔细设置虚线偏移和线长度

我已经用这种技术修改了上面的JSFIDLE。请注意,即使线本身循环,这也会起作用

关于行长的注释:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);
此实现要求您知道行的近似长度,以便您可以将length var设置为大于它。对于贝塞尔曲线和二次曲线,这很棘手,但仍然可以做到()。在我的演示中,我使用了反复试验的方法,发现你的大约是608px。将length设置为10000可能会确保线条始终正确绘制,但代价是每毫秒调用大量不必要的间隔回调。底线是:如果你关心性能,找出贝塞尔公式的东西;如果没有,请将该变量设置为高

代码:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);
HTML


无法启动webgl
JavaScript

canvasHolder = document.getElementById( 'canvas' );
context = canvasHolder.getContext('2d');

context.fillStyle = 'white';
var w = canvasHolder.width, h = canvasHolder.height;
context.fillRect( 0, 0, w, h);

//set the direction the line draws in
//1->ltr | -1->rtl
var dir = -1;
//IMPORTANT: this must be set to greater than the length
//of the line
var length = 608;
//the speed of the line draw
var speed = 1;

var progress = 0;
var lineInterval;

//Go!
context.globalCompositeOperation='copy';
drawLine();

function drawLine() {
    //this clears itself once the line is drawn
    lineInterval = setInterval(updateLine, 1);
}

function updateLine() {
    //define the line
    defineLine();

    if(progress<length)
    {
      progress+=speed;
      moveDash(progress, dir);
    } else {
      clearInterval(lineInterval);
    }

}

function defineLine() {
    context.beginPath();
    context.moveTo(100, 20);
    context.lineTo(200, 160);
    context.quadraticCurveTo(230, 200, 250, 120);
    context.bezierCurveTo(290, -40, 300, 200, 400, 150);
    context.lineTo(500, 90);
    context.lineWidth = 5;
    context.strokeStyle = 'blue';
}

function moveDash(frac, dir) {
    //default direction right->left
    var dir = dir || -1 
    context.setLineDash([length]);
    context.lineDashOffset = dir*(frac+length);
    context.stroke();
}
canvasHolder=document.getElementById('canvas'); context=canvashholder.getContext('2d'); context.fillStyle='white'; var w=画布支架.宽度,h=画布支架.高度; fillRect(0,0,w,h); //设置线绘制的方向 //1->ltr |-1->rtl var-dir=-1; //重要提示:必须将其设置为大于长度 //排队 变量长度=608; //划线的速度 无功转速=1; var进程=0; var线性区间; //走! context.globalCompositeOperation='copy'; 抽绳(); 函数drawLine(){ //一旦绘制了线,这将自动清除 lineInterval=setInterval(updateLine,1); } 函数updateLine(){ //界定界线 定义线(); 如果(左) var dir=dir | |-1 context.setLineDash([length]); context.lineDashOffset=dir*(分形+长度); stroke(); }
使用等距点绘制复杂路径的演示:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);

匀速行驶综述

“速度”定义为每单位时间的距离

“匀速”因此是指每单位时间以一致的指定距离行驶

因此,以每1/60秒2像素的速度沿路径移动就是匀速移动的一个例子

要移动2个像素,必须沿路径计算距离上一个点2个像素的点

以匀速增量绘制包含直线和曲线的路径需要数百次小计算

以下是如何确定沿路径均匀分布的点阵列:

  • 将路径划分为线段:直线、二次曲线、贝塞尔曲线、直线

  • 使用定义每个线段的数学公式(参见下面的公式)沿每个线段计算多个(300+)点,并将这些点放入数组中

  • 按顺序沿每个点行走并计算点之间的距离(请参见下面的公式)

  • 保留沿点行驶的累计距离的总和

  • 当当前移动的点达到指定长度时,将该点保存在第二个数组中

然后,若要以增量方式设置路径动画,可以创建一个动画循环,该循环将绘制一条线到第二个阵列中的每个下一个点

注意:如果将指定的距离保持得足够小(例如1-2像素),则在必要时绘制的线将显示为曲线

以下是支持此方法的公式:

计算沿线的点:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);
沿二次曲线计算点:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);
沿贝塞尔曲线计算点:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);
两点之间的距离:

// T is an interval between 0.00 and 1.00
// To divide a Line into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getLineXYatPercent(startPt,endPt,T) {
    var dx = endPt.x-startPt.x;
    var dy = endPt.y-startPt.y;
    var X = startPt.x + dx*T;
    var Y = startPt.y + dy*T;
    return( {x:X,y:Y} );
}
// T is an interval between 0.00 and 1.00
// To divide a Quadratic Curve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getQuadraticBezierXYatT(startPt,controlPt,endPt,T) {
    var x = Math.pow(1-T,2) * startPt.x + 2 * (1-T) * T * controlPt.x + Math.pow(T,2) * endPt.x; 
    var y = Math.pow(1-T,2) * startPt.y + 2 * (1-T) * T * controlPt.y + Math.pow(T,2) * endPt.y; 
    return( {x:x,y:y} );
}
// T is an interval between 0.00 and 1.00
// To divide a BezierCurve into 300 parts you would call the function 300 times 
// with T increasing 1.00/300 each time

function getCubicBezierXYatT(startPt,controlPt1,controlPt2,endPt,T){
    var x=CubicN(T,startPt.x,controlPt1.x,controlPt2.x,endPt.x);
    var y=CubicN(T,startPt.y,controlPt1.y,controlPt2.y,endPt.y);
    return({x:x,y:y});
}

// cubic helper formula at T distance
function CubicN(T, a,b,c,d) {
    var t2 = T * T;
    var t3 = t2 * T;
    return a + (-a * 3 + T * (3 * a - a * T)) * T
    + (3 * b + T * (-6 * b + b * 3 * T)) * T
    + (c * 3 - c * 3 * T) * t2
    + d * t3;
}
var dx=point2.x-point1.x;
var dy=point2.y-point1.y;
var distance=Math.sqrt(dx*dx+dy*dy);

祝你的项目好运!

遗憾的是,这只适用于穿过一个轴的稳定路径。这不符合我的目的,因为我的路径可能有一个循环,路径应该以统一的速度绘制。无论如何,谢谢!我在寻找解决方案时偶然发现了你的代码!-)我非常喜欢这个想法,并且自己做数学,但可悲的是,这需要重新迭代。当设置1px的增量时,线的轮廓变得非常硬,看起来不再自然。你的解决方案可能适用于更多的问题,但我认为