如何开发网页版CAD的样条曲线功能
cad梦想画图
2023年05月26日 11:19:55
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以下是网页CAD中使用 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">

以下是网页CAD中使用 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(39;canvas39;);

  if (canvas.getContext) {

   var ctx = canvas.getContext(39;2d39;);

   ctx.fillStyle = 39;white39;;

   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>

 

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 = [1, points.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 = [points.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[i + 1].x + h10 * tension * (points[i + 1].x - points.x) + h11 * tension * (points[i + 2].x - points[i + 1].x);

   var py = h00 * x[0] + h01 * x[i + 1][0] + h10 * tension * (x[i + 1][0] - x[0]) + h11 * tension * (x[i + 2][0] - x[i + 1][0]);

 

   curve.push({ x: px, y: py });

  }

 }

 

 return curve;

}

 

// 绘制曲线

function drawCurve(ctx, points) {

 ctx.lineWidth = 2;

 ctx.strokeStyle = 39;black39;;

 ctx.beginPath();

 ctx.moveTo(points[0].x, points[0].y);

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

  ctx.lineTo(points.x, points.y);

 }

 ctx.stroke();

}

 

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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