Bezier Spline

<!--
  示例：平滑曲线
  核心逻辑：bezierSpline 把折线插值成曲线，原折线与结果同屏对比
  依赖：Turf.js 7 · jsDelivr CDN
-->
<!DOCTYPE html>
<html lang="zh-CN">
<head>
<meta name="robots" content="noindex,follow">
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>平滑曲线</title>
<style>
  html,body{height:100%;margin:0}
  body{display:flex;flex-direction:column;overflow:hidden;
       font:13px/1.6 -apple-system,"Segoe UI","PingFang SC",sans-serif;color:#16181d;background:#fff}
  .bar{flex:0 0 auto;display:flex;gap:12px;align-items:center;padding:8px 12px;
       background:#f6f7f9;border-bottom:1px solid #e3e6ea;font-size:12px;color:#58606e;flex-wrap:wrap}
  .bar button{font:inherit;font-size:12px;padding:4px 10px;border-radius:4px;cursor:pointer;
       border:1px solid #ccd1d9;background:#fff;color:#16181d}
  .bar button:hover{background:#eef0f3}
  .bar input[type=range]{width:150px}
  .bar b{color:#1f5fd0;font-weight:600}
  .hint{color:#8a929f}
  svg{flex:1 1 auto;min-height:0;width:100%;display:block;background:#fbfcfd}
  .out{flex:0 0 auto;display:flex;gap:20px;flex-wrap:wrap;padding:8px 12px;
       border-top:1px solid #e3e6ea;
       font-family:ui-monospace,Consolas,monospace;font-size:11.5px;color:#3a4250}
  .out b{font-weight:600;color:#1f5fd0}
</style>
</head>
<body>
<div class="bar"><span>虚线为原始折线</span><span class="hint">sharpness 0.85 · resolution 600</span></div>
<svg id="stage" viewBox="0 0 640 320" preserveAspectRatio="xMidYMid meet"></svg>
<div class="out">
  <span>原始顶点 <b id="n0">—</b></span>
  <span>曲线顶点 <b id="n1">—</b></span>
  <span>折线长度 <b id="l0">—</b></span>
  <span>曲线长度 <b id="l1">—</b></span>
</div>
<script src="https://cdn.jsdelivr.net/npm/@turf/turf@7/turf.min.js"></script>
<script>
(function () {
  'use strict';

  if (typeof turf === 'undefined') {
    document.body.innerHTML =
      '<div style="padding:24px;color:#b42318">Turf.js 加载失败，请检查能否访问 cdn.jsdelivr.net</div>';
    return;
  }

  function makeProjection(BOX, W, H, PAD) {
    var kx = Math.cos(((BOX[1] + BOX[3]) / 2) * Math.PI / 180);
    var x0 = BOX[0] * kx, x1 = BOX[2] * kx;
    var y0 = BOX[1], y1 = BOX[3];
    var s = Math.min((W - PAD * 2) / (x1 - x0), (H - PAD * 2) / (y1 - y0));
    var ox = (W - (x1 - x0) * s) / 2;
    var oy = (H - (y1 - y0) * s) / 2;
    var to = function (c) {
      return [(c[0] * kx - x0) * s + ox, (y1 - c[1]) * s + oy];
    };
    to.inverse = function (px, py) {
      return [((px - ox) / s + x0) / kx, y1 - (py - oy) / s];
    };
    return to;
  }

  function linePath(pr, coords) {
    var d = '';
    for (var i = 0; i < coords.length; i++) {
      var p = pr(coords[i]);
      d += (i ? 'L' : 'M') + p[0].toFixed(1) + ' ' + p[1].toFixed(1);
    }
    return d;
  }

  function ringPath(pr, ring) { return linePath(pr, ring) + 'Z'; }

  function polyPath(pr, rings) {
    var d = '';
    for (var i = 0; i < rings.length; i++) d += ringPath(pr, rings[i]);
    return d;
  }
  var BOX = [116.28, 39.82, 116.52, 39.96];
  var pr = makeProjection(BOX, 640, 320, 24);
  var stage = document.getElementById('stage');

  var raw = turf.lineString([
    [116.30, 39.85], [116.36, 39.93], [116.41, 39.87],
    [116.46, 39.94], [116.50, 39.88]
  ]);

  var smooth = turf.bezierSpline(raw, { resolution: 600, sharpness: 0.85 });

  var parts = ['<rect x="0" y="0" width="640" height="320" fill="none" stroke="#e3e6ea"/>'];
  parts.push('<path d="' + linePath(pr, raw.geometry.coordinates) +
             '" fill="none" stroke="#c2410c" stroke-width="1.6" stroke-dasharray="6 4"/>');
  parts.push('<path d="' + linePath(pr, smooth.geometry.coordinates) +
             '" fill="none" stroke="#1f5fd0" stroke-width="2.4"/>');

  raw.geometry.coordinates.forEach(function (c) {
    var p = pr(c);
    parts.push('<circle cx="' + p[0].toFixed(1) + '" cy="' + p[1].toFixed(1) +
               '" r="3" fill="#fff" stroke="#c2410c" stroke-width="1.5"/>');
  });

  stage.innerHTML = parts.join('');
  document.getElementById('n0').textContent = raw.geometry.coordinates.length;
  document.getElementById('n1').textContent = smooth.geometry.coordinates.length;
  document.getElementById('l0').textContent =
    turf.length(raw, { units: 'kilometers' }).toFixed(2) + ' km';
  document.getElementById('l1').textContent =
    turf.length(smooth, { units: 'kilometers' }).toFixed(2) + ' km';
})();
</script>
</body>
</html>