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）：
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:
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
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