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深入解析JS实现3D标签云的原理与方法

程序员文章站 2023-11-04 21:12:58
本文实例讲述了深入解析js实现3d标签云的原理与方法。分享给大家供大家参考,具体如下: 最近开始用canvas搞3d了,搞得也是简单的东西,就是球体转圈。做出来后,突然想...

本文实例讲述了深入解析js实现3d标签云的原理与方法。分享给大家供大家参考,具体如下:

最近开始用canvas搞3d了,搞得也是简单的东西,就是球体转圈。做出来后,突然想起以前看过的3d标签云,在以前觉得真心狂拽酷炫叼啊,当时也确实不知道怎么在平面上模拟3d,所以也就没去搞了。现在刚好用了canvas搞3d,也发现,好像3d标签云也差不多,然后就写了一下。

具体怎么做呢,先说一下原理,3d标签云就是做一个球面,然后再球面上取均匀分布的点,把点坐标赋给标签,再根据抽象出来的z轴大小来改变标签的字体大小,透明度,做出立体感觉,然后球体就做好了。关键代码就下面这几句:

function innit(){
  for(var i=0;i<tagele.length;i++){
    var a , b;
    var k = -1+(2*(i+1)-1)/tagele.length;
    var a = math.acos(k);
    var b = a*math.sqrt(tagele.length*math.pi);
    // var a = math.random()*2*math.pi;
    // var b = math.random()*2*math.pi;
    var x = radius * math.sin(a) * math.cos(b);
    var y = radius * math.sin(a) * math.sin(b); 
    var z = radius * math.cos(a);
    var t = new tag(tagele[i] , x , y , z);
    tagele[i].style.color = "rgb("+parseint(math.random()*255)+","+parseint(math.random()*255)+","+parseint(math.random()*255)+")";
    tags.push(t);
    t.move();
  }
}

上面的代码是用于生成球面上的点的x,y,z轴的坐标。用到的就是简单的球面方程:已知半径r和球心,一般为了方便,我们都以坐标轴原点为球心,有下面三个方程

 x=r*sinθ*cosφ   y=r*sinθ*sinφ   z=r*cosθ;

也就是说,我们可以对θ和φ取随机数,来获得圆上的随机点坐标。但仅此还不够,因为如果要做3d标签云,一个很重要点的就是平均分布。如果单纯的取随机坐标,会导致一些标签重叠,相对来说就没那么美观了。所以我们引入第二个公式:

θ = arccos( ((2*num)-1)/all - 1);
φ = θ*sqrt(all * π);

num是当前第几个点,all则是点的总数。这个公式的是我在别人的代码里找到的,我也不懂原理。不过确实好用。

有了上面两个公式以后,我们就可以获得球面上所需要的平均分布的点。然后再对每个标签进行操作:

var scale = falllength/(falllength-this.z);
var alpha = (this.z+radius)/(2*radius);
this.ele.style.fontsize = 15 * scale + "px";
this.ele.style.opacity = alpha+0.5;
this.ele.style.filter = "alpha(opacity = "+(alpha+0.5)*100+")";
this.ele.style.zindex = parseint(scale*100);
this.ele.style.left = this.x + cx - this.ele.offsetwidth/2 +"px";
this.ele.style.top = this.y + cy - this.ele.offsetheight/2 +"px";

falllength是焦距,也就是一个常量,scale和alpha都是要根据z轴来调整的比例。后面的属性操作就比较简单了,调整一下字体大小,透明度,以及元素位置,球体就做出来了,效果如下(忽略字的内容,乱写的):

深入解析JS实现3D标签云的原理与方法

球体做出来了,是时候让其动起来了。这时就引入第三个公式了,矩阵旋转算法:

深入解析JS实现3D标签云的原理与方法

还可以直接戳 计算机图形学3d变换;

然后,我们就可以写出两个函数,一个是绕x轴旋转,一个是绕y轴旋转。

function rotatex(){
  var cos = math.cos(anglex);
  var sin = math.sin(anglex);
  tags.foreach(function(){
    var y1 = this.y * cos - this.z * sin;
    var z1 = this.z * cos + this.y * sin;
    this.y = y1;
    this.z = z1;
  })
  
}
function rotatey(){
  var cos = math.cos(angley);
  var sin = math.sin(angley);
  tags.foreach(function(){
    var x1 = this.x * cos - this.z * sin;
    var z1 = this.z * cos + this.x * sin;
    this.x = x1;
    this.z = z1;
  })
}

然后就可以通过控制anglex和angley两个角度的值来控制标签云的旋转方向以及旋转速度,角度的正负值控制旋转方向,大小控制旋转速度。

接下来就可以用鼠标事件来控制了:

if("addeventlistener" in window){
  paper.addeventlistener("mousemove" , function(event){
    var x = event.clientx - ex - cx;
    var y = event.clienty - ey - cy;
    // angley = -x* (math.sqrt(math.pow(x , 2) + math.pow(y , 2)) > radius/4 ? 0.0002 : 0.0001);
    // anglex = -y* (math.sqrt(math.pow(x , 2) + math.pow(y , 2)) > radius/4 ? 0.0002 : 0.0001);
    angley = x*0.0001;
    anglex = y*0.0001;
  });
}
else {
  paper.attachevent("onmousemove" , function(event){
    var x = event.clientx - ex - cx;
    var y = event.clienty - ey - cy;
    angley = x*0.0001;
    anglex = y*0.0001;
  });
}

当这个也写好后,3d标签云就算完工了,完成效果就直接看demo吧:3d标签云;

下面贴出标签云的所有代码,其实都可以通过控制台看代码,不过还是贴一下吧:(本人技术不是很好,代码写的不好请见谅)

<!doctype html public "-//w3c//dtd xhtml 1.0 transitional//en" "http://www.w3.org/tr/xhtml1/dtd/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
  <meta http-equiv="content-type" content="text/html;charset=utf-8">
  <style>
    .tagball{
      width: 800px;
      height: 800px;
      margin:50px auto;
      position: relative;
    }
    .tag{
      display: block;
      position: absolute;
      left: 0px;
      top: 0px;
      color: #000;
      text-decoration: none;
      font-size: 15px;
      font-family: "微软雅黑";
      font-weight: bold;
    }
    .tag:hover{border:1px solid #666;}
  </style>
  <title>3d标签</title>
</head>
<body>
  <div class="tagball">
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  </div>
  <script>
    var tagele = "queryselectorall" in document ? document.queryselectorall(".tag") : getclass("tag"),
      paper = "queryselectorall" in document ? document.queryselector(".tagball") : getclass("tagball")[0];
      radius =300,
      falllength = 500,
      tags=[],
      anglex = math.pi/500,
      angley = math.pi/500,
      cx = paper.offsetwidth/2,
      cy = paper.offsetheight/2,
      ex = paper.offsetleft + document.body.scrollleft + document.documentelement.scrollleft,
      ey = paper.offsettop + document.body.scrolltop + document.documentelement.scrolltop;
    function getclass(classname){
      var ele = document.getelementsbytagname("*");
      var classele = [];
      for(var i=0;i<ele.length;i++){
        var cn = ele[i].classname;
        if(cn === classname){
          classele.push(ele[i]);
        }
      }
      return classele;
    }
    function innit(){
      for(var i=0;i<tagele.length;i++){
        var a , b;
        var k = (2*(i+1)-1)/tagele.length - 1;
        var a = math.acos(k);
        var b = a*math.sqrt(tagele.length*math.pi);
        // var a = math.random()*2*math.pi;
        // var b = math.random()*2*math.pi;
        var x = radius * math.sin(a) * math.cos(b);
        var y = radius * math.sin(a) * math.sin(b); 
        var z = radius * math.cos(a);
        var t = new tag(tagele[i] , x , y , z);
        tagele[i].style.color = "rgb("+parseint(math.random()*255)+","+parseint(math.random()*255)+","+parseint(math.random()*255)+")";
        tags.push(t);
        t.move();
      }
    }
    array.prototype.foreach = function(callback){
      for(var i=0;i<this.length;i++){
        callback.call(this[i]);
      }
    }
    function animate(){
      setinterval(function(){
        rotatex();
        rotatey();
        tags.foreach(function(){
          this.move();
        })
      } , 17)
    }
    if("addeventlistener" in window){
      paper.addeventlistener("mousemove" , function(event){
        var x = event.clientx - ex - cx;
        var y = event.clienty - ey - cy;
        // angley = -x* (math.sqrt(math.pow(x , 2) + math.pow(y , 2)) > radius/4 ? 0.0002 : 0.0001);
        // anglex = -y* (math.sqrt(math.pow(x , 2) + math.pow(y , 2)) > radius/4 ? 0.0002 : 0.0001);
        angley = x*0.0001;
        anglex = y*0.0001;
      });
    }
    else {
      paper.attachevent("onmousemove" , function(event){
        var x = event.clientx - ex - cx;
        var y = event.clienty - ey - cy;
        angley = x*0.0001;
        anglex = y*0.0001;
      });
    }
    function rotatex(){
      var cos = math.cos(anglex);
      var sin = math.sin(anglex);
      tags.foreach(function(){
        var y1 = this.y * cos - this.z * sin;
        var z1 = this.z * cos + this.y * sin;
        this.y = y1;
        this.z = z1;
      })
    }
    function rotatey(){
      var cos = math.cos(angley);
      var sin = math.sin(angley);
      tags.foreach(function(){
        var x1 = this.x * cos - this.z * sin;
        var z1 = this.z * cos + this.x * sin;
        this.x = x1;
        this.z = z1;
      })
    }
    var tag = function(ele , x , y , z){
      this.ele = ele;
      this.x = x;
      this.y = y;
      this.z = z;
    }
    tag.prototype = {
      move:function(){
        var scale = falllength/(falllength-this.z);
        var alpha = (this.z+radius)/(2*radius);
        this.ele.style.fontsize = 15 * scale + "px";
        this.ele.style.opacity = alpha+0.5;
        this.ele.style.filter = "alpha(opacity = "+(alpha+0.5)*100+")";
        this.ele.style.zindex = parseint(scale*100);
        this.ele.style.left = this.x + cx - this.ele.offsetwidth/2 +"px";
        this.ele.style.top = this.y + cy - this.ele.offsetheight/2 +"px";
      }
    }
    innit();
    animate();
  </script>
</body>
</html>

或者直接看github源码:

https://github.com/whxaxes/canvas-test/blob/gh-pages/src/3d-demo/3dtag.html