本文實例講述了深入解析JS實現3D標簽云的原理與方法。分享給大家供大家參考，具體如下：
最近開始用canvas搞3D了，搞得也是簡單的東西，就是球體轉圈。做出來后，突然想起以前看過的3D標簽云，在以前覺得真心狂拽酷炫叼啊，當時也確實不知道怎么在平面上模擬3D，所以也就沒去搞了。現在剛好用了canvas搞3D，也發現，好像3D標簽云也差不多，然后就寫了一下。
具體怎么做呢，先說一下原理，3D標簽云就是做一個球面，然后再球面上取均勻分布的點，把點坐標賦給標簽，再根據抽象出來的Z軸大小來改變標簽的字體大小，透明度，做出立體感覺，然后球體就做好了。關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的x,y,z軸的坐標。用到的就是簡單的球面方程：已知半徑r和球心，一般為了方便，我們都以坐標軸原點為球心，有下面三個方程
x=r*sinθ*cosΦ y=r*sinθ*sinΦ z=r*cosθ;
也就是說，我們可以對θ和Φ取隨機數，來獲得圓上的隨機點坐標。但僅此還不夠，因為如果要做3D標簽云，一個很重要點的就是平均分布。如果單純的取隨機坐標，會導致一些標簽重疊，相對來說就沒那么美觀了。所以我們引入第二個公式：
θ = arccos( ((2*num)-1)/all - 1);
Φ = θ*sqrt(all * π);
num是當前第幾個點，all則是點的總數。這個公式的是我在別人的代碼里找到的，我也不懂原理。不過確實好用。
有了上面兩個公式以后，我們就可以獲得球面上所需要的平均分布的點。然后再對每個標簽進行操作：
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，也就是一個常量，scale和alpha都是要根據z軸來調整的比例。后面的屬性操作就比較簡單了，調整一下字體大小，透明度，以及元素位置，球體就做出來了，效果如下（忽略字的內容，亂寫的）：
球體做出來了，是時候讓其動起來了。這時就引入第三個公式了，矩陣旋轉算法:
還可以直接戳 計算機圖形學3D變換；
然后，我們就可以寫出兩個函數，一個是繞X軸旋轉，一個是繞Y軸旋轉。
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兩個角度的值來控制標簽云的旋轉方向以及旋轉速度，角度的正負值控制旋轉方向，大小控制旋轉速度。
接下來就可以用鼠標事件來控制了：
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; });}當這個也寫好后，3D標簽云就算完工了，完成效果就直接看DEMO吧：3D標簽云；
下面貼出標簽云的所有代碼，其實都可以通過控制臺看代碼，不過還是貼一下吧：（本人技術不是很好，代碼寫的不好請見諒）
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nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" 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" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" 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" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" 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>或者直接看github源碼：
https://github.com/whxaxes/canvas-test/blob/gh-pages/src/3D-demo/3Dtag.html
更多關于JavaScript相關內容感興趣的讀者可查看本站專題：《JavaScript切換特效與技巧總結》、《JavaScript查找算法技巧總結》、《JavaScript動畫特效與技巧匯總》、《JavaScript錯誤與調試技巧總結》、《JavaScript數據結構與算法技巧總結》及《JavaScript數學運算用法總結》
希望本文所述對大家JavaScript程序設計有所幫助。
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