深入解析JS实现3D标签云的原理与方法
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)
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rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" rel="external nofollow" 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" >我喜欢你</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" >我喜欢你</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" >我喜欢你</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" >我喜欢你</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源码:
https://github.com/whxaxes/canvas-test/blob/gh-pages/src/3d-demo/3dtag.html
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