ywl0224 发表于 2023-5-26 11:30:36

如何开发网页版CAD的样条曲线功能

以下是网页CAD中使用 JavaScript 和 HTML5 Canvas 绘制样条曲线的示例代码:HTML 代码:<!DOCTYPE html>

<html>

<head>

<title>Spline Curve</title>

<meta charset="UTF-8">

<style type="text/css">

canvas {

   border: 1px solid black;

}

</style>

</head>

<body>

<canvas id="canvas" width="800" height="500"></canvas>



<script src="spline.js"></script>

<script>

// 绘制样条曲线

var canvas = document.getElementById('canvas');

if (canvas.getContext) {

   var ctx = canvas.getContext('2d');

   ctx.fillStyle = 'white';

   ctx.fillRect(0, 0, canvas.width, canvas.height);



   var points = [

    { x: 50, y: 100 },

    { x: 200, y: 150 },

    { x: 300, y: 250 },

    { x: 400, y: 200 },

    { x: 500, y: 300 }

   ];

   var tension = 0.5;

   var segments = 50;



   var splinePoints = getSplinePoints(points, tension, segments);

   drawCurve(ctx, splinePoints);

}

</script>

</body>

</html>



JavaScript 代码(spline.js):

// 计算样条曲线上的点

function getSplinePoints(points, tension, segments) {

if (points.length < 2) return [];



// 初始化矩阵

var m = [];

for (var i = 0; i < points.length; i++) {

m = .x, points.x * points.x, points.x * points.x * points.x];

}



// 计算常数向量

var b = [];

for (var i = 0; i < points.length; i++) {

b = .y];

}



// 计算系数矩阵

var mt = math.transpose(m);

var a = math.multiply(mt, m);

var ai = math.inv(a);

var x = math.multiply(ai, mt);

x = math.multiply(x, b);



// 计算曲线上的点

var curve = [];

for (var i = 0; i < (points.length - 1); i++) {

for (var j = 0; j < segments; j++) {

   var t = j / segments;

   var t2 = t * t;

   var t3 = t2 * t;



   var h00 = 2 * t3 - 3 * t2 + 1;

   var h01 = -2 * t3 + 3 * t2;

   var h10 = t3 - 2 * t2 + t;

   var h11 = t3 - t2;



   var px = h00 * points.x + h01 * points.x + h10 * tension * (points.x - points.x) + h11 * tension * (points.x - points.x);

   var py = h00 * x + h01 * x + h10 * tension * (x - x) + h11 * tension * (x - x);



   curve.push({ x: px, y: py });

}

}



return curve;

}



// 绘制曲线

function drawCurve(ctx, points) {

ctx.lineWidth = 2;

ctx.strokeStyle = 'black';

ctx.beginPath();

ctx.moveTo(points.x, points.y);

for (var i = 1; i < points.length; i++) {

ctx.lineTo(points.x, points.y);

}

ctx.stroke();

}<span style="font-family: 宋体; font-size: 10.5pt; background-color: rgb(255, 255, 255);"> </span>使用这个代码,你可以在网页中绘制出指定点的样条曲线。代码中的 points 数组包含要绘制曲线的点,tension 参数控制曲线的平滑度,segments 参数控制曲线的精细度,以上是在线CAD中样条曲线的开发思路,有其他问题可以到梦想CAD控件官网查看云图产品文档。
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