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小編給大家分享一下JS怎么實現3D標簽云的原理與方法，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）
<!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標簽</title>
</head>
<body>
<div class="tagBall">
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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" >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>
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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>
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