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JS怎么實(shí)現(xiàn)3D標(biāo)簽云的原理與方法

發(fā)布時(shí)間：2021-04-19 12:19:44 來源：億速云 閱讀：180 作者：小新 欄目：web開發(fā)

小編給大家分享一下JS怎么實(shí)現(xiàn)3D標(biāo)簽云的原理與方法，希望大家閱讀完這篇文章之后都有所收獲，下面讓我們一起去探討吧！

具體如下：

最近開始用canvas搞3D了，搞得也是簡(jiǎn)單的東西，就是球體轉(zhuǎn)圈。做出來后，突然想起以前看過的3D標(biāo)簽云，在以前覺得真心狂拽酷炫叼啊，當(dāng)時(shí)也確實(shí)不知道怎么在平面上模擬3D，所以也就沒去搞了?，F(xiàn)在剛好用了canvas搞3D，也發(fā)現(xiàn)，好像3D標(biāo)簽云也差不多，然后就寫了一下。

具體怎么做呢，先說一下原理，3D標(biāo)簽云就是做一個(gè)球面，然后再球面上取均勻分布的點(diǎn)，把點(diǎn)坐標(biāo)賦給標(biāo)簽，再根據(jù)抽象出來的Z軸大小來改變標(biāo)簽的字體大小，透明度，做出立體感覺，然后球體就做好了。關(guān)鍵代碼就下面這幾句：

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();
  }
}

上面的代碼是用于生成球面上的點(diǎn)的x,y,z軸的坐標(biāo)。用到的就是簡(jiǎn)單的球面方程：已知半徑r和球心，一般為了方便，我們都以坐標(biāo)軸原點(diǎn)為球心，有下面三個(gè)方程

　x=r*sinθ*cosΦ   y=r*sinθ*sinΦ   z=r*cosθ;

也就是說，我們可以對(duì)θ和Φ取隨機(jī)數(shù)，來獲得圓上的隨機(jī)點(diǎn)坐標(biāo)。但僅此還不夠，因?yàn)槿绻?D標(biāo)簽云，一個(gè)很重要點(diǎn)的就是平均分布。如果單純的取隨機(jī)坐標(biāo)，會(huì)導(dǎo)致一些標(biāo)簽重疊，相對(duì)來說就沒那么美觀了。所以我們引入第二個(gè)公式：

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

num是當(dāng)前第幾個(gè)點(diǎn)，all則是點(diǎn)的總數(shù)。這個(gè)公式的是我在別人的代碼里找到的，我也不懂原理。不過確實(shí)好用。

有了上面兩個(gè)公式以后，我們就可以獲得球面上所需要的平均分布的點(diǎn)。然后再對(duì)每個(gè)標(biāo)簽進(jìn)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，也就是一個(gè)常量，scale和alpha都是要根據(jù)z軸來調(diào)整的比例。后面的屬性操作就比較簡(jiǎn)單了，調(diào)整一下字體大小，透明度，以及元素位置，球體就做出來了，效果如下（忽略字的內(nèi)容，亂寫的）：

JS怎么實(shí)現(xiàn)3D標(biāo)簽云的原理與方法

球體做出來了，是時(shí)候讓其動(dòng)起來了。這時(shí)就引入第三個(gè)公式了，矩陣旋轉(zhuǎn)算法:

JS怎么實(shí)現(xiàn)3D標(biāo)簽云的原理與方法

還可以直接戳 計(jì)算機(jī)圖形學(xué)3D變換；

然后，我們就可以寫出兩個(gè)函數(shù)，一個(gè)是繞X軸旋轉(zhuǎn)，一個(gè)是繞Y軸旋轉(zhuǎn)。

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;
  })
}

然后就可以通過控制angleX和angleY兩個(gè)角度的值來控制標(biāo)簽云的旋轉(zhuǎn)方向以及旋轉(zhuǎn)速度，角度的正負(fù)值控制旋轉(zhuǎn)方向，大小控制旋轉(zhuǎn)速度。

接下來就可以用鼠標(biāo)事件來控制了：

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;
  });
}

當(dāng)這個(gè)也寫好后，3D標(biāo)簽云就算完工了，完成效果就直接看DEMO吧：3D標(biāo)簽云；

下面貼出標(biāo)簽云的所有代碼，其實(shí)都可以通過控制臺(tái)看代碼，不過還是貼一下吧：（本人技術(shù)不是很好，代碼寫的不好請(qǐng)見諒）

<!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: "微軟雅黑";
      font-weight: bold;
    }
    .tag:hover{border:1px solid #666;}
  </style>
  <title>3D標(biāo)簽</title>
</head>
<body>
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    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >某某某</a>
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    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >某某某</a>
    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >我喜歡你</a>
    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >某某某</a>
    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >我喜歡你</a>
    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >我喜歡你</a>
    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >某某某</a>
    <a class="tag" target="_blank" href="http://2.axescanvas.sinaapp.com/LoveDemo/secondLove.html" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" >我喜歡你</a>
  </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>

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