如何用d3.js绘制一个三维图形，用于z = x + y。我需要绘制偏微分方程的图形。我的项目涉及求解偏微分方程并用图形绘制
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<style>
body{
font-family: sans;
padding: 10px;
}
svg path{
stroke: #000;
stroke-width: 1px;
stroke: rgba(0,0,0,0.2);
}
svg{
border: 1px solid #DED8BF;
background-color: #f4f4d9;
width: 700px;
height: 400px;
}
h1{
font-weight: normal;
margin: 0;
padding-left: 5px;
color: #53483e;
}
p{
margin: 0;
margin-bottom: 10px;
padding-left: 5px;
color: #917e6b;
}
ul{
width: 200px;
float: left;
list-style-type: none;
margin: 0;
padding: 0;
padding-right: 10px;
}
li{
cursor: pointer;
background-color: #c8ad93;
padding: 10px;
margin: 2px;
color: #fff;
}
</style>
</head>
<body>
<h1>D3.js Surface Plots</h1>
<p>Drag graph to change view</p>
<script src="http://d3js.org/d3.v3.min.js"></script>
<script src="surface3d.js"></script>
<script>
var yaw=0.5,pitch=0.5, width=700, height=400, drag=false;
function dataFromFormular(func){
var output=[];
for(var x=-20;x<20;x++){
var f0=[];
output.push(f0);
for(var y=-20;y<20;y++){
f0.push(func(x,y));
}
}
return output;
}
var surfaces=[
{
name: 'Dataset 1',
data: dataFromFormular(function(x,y){
return Math.sin(Math.sqrt(x*x+y*y)/5*Math.PI)*50;
})
},
{
name: 'Dataset 2',
data: dataFromFormular(function(x,y){
return Math.cos(x/15*Math.PI)*Math.cos(y/15*Math.PI)*60+Math.cos(x/8*Math.PI)*Math.cos(y/10*Math.PI)*40;
})
},
{
name: 'Dataset 3',
data: dataFromFormular(function(x,y){
return -(Math.cos(Math.sqrt(x*x+y*y)/6*Math.PI)+1)*300/(Math.pow(x*x+y*y+1,0.3)+1)+50;
})
}
];
var selected=surfaces[0];
var ul=d3.select('body')
.append('ul');
var svg=d3.select('body')
.append('svg')
.attr('height',height)
.attr('width',width);
var group = svg.append("g");
var md=group.data([surfaces[0].data])
.surface3D(width,height)
.surfaceHeight(function(d){
return d;
}).surfaceColor(function(d){
var c=d3.hsl((d+100), 0.6, 0.5).rgb();
return "rgb("+parseInt(c.r)+","+parseInt(c.g)+","+parseInt(c.b)+")";
});
ul.selectAll('li')
.data(surfaces)
.enter().append('li')
.html(function(d){
return d.name
}).on('mousedown',function(){
md.data([d3.select(this).datum().data]).surface3D()
.transition().duration(500)
.surfaceHeight(function(d){
return d;
}).surfaceColor(function(d){
var c=d3.hsl((d+100), 0.6, 0.5).rgb();
return "rgb("+parseInt(c.r)+","+parseInt(c.g)+","+parseInt(c.b)+")";
});
});
svg.on("mousedown",function(){
drag=[d3.mouse(this),yaw,pitch];
}).on("mouseup",function(){
drag=false;
}).on("mousemove",function(){
if(drag){
var mouse=d3.mouse(this);
yaw=drag[1]-(mouse[0]-drag[0][0])/50;
pitch=drag[2]+(mouse[1]-drag[0][1])/50;
pitch=Math.max(-Math.PI/2,Math.min(Math.PI/2,pitch));
md.turntable(yaw,pitch);
}
});
</script>
</body>
</html>
这是surface.js的javascript
(function(){
var Surface=function(node){
var heightFunction,colorFunction,timer,timer,transformPrecalc=[];
var displayWidth=300, displayHeight=300, zoom=1;
var trans;
this.setZoom=function(zoomLevel){
zoom=zoomLevel;
if(timer) clearTimeout(timer);
timer=setTimeout(renderSurface);
};
var getHeights=function(){
var data=node.datum();
var output=[];
var xlength=data.length;
var ylength=data[0].length;
for(var x=0;x<xlength;x++){
output.push(t=[]);
for(var y=0;y<ylength;y++){
var value=heightFunction(data[x][y],x,y);
t.push(value);
}
}
return output;
};
var transformPoint=function(point){
var x=transformPrecalc[0]*point[0]+transformPrecalc[1]*point[1]+transformPrecalc[2]*point[2];
var y=transformPrecalc[3]*point[0]+transformPrecalc[4]*point[1]+transformPrecalc[5]*point[2];
var z=transformPrecalc[6]*point[0]+transformPrecalc[7]*point[1]+transformPrecalc[8]*point[2];
return [x,y,z];
};
var getTransformedData=function(){
var data=node.datum();
if(!heightFunction) return [[]];
var t, output=[];
var heights=getHeights();
var xlength=data.length;
var ylength=data[0].length;
for(var x=0;x<xlength;x++){
output.push(t=[]);
for(var y=0;y<ylength;y++){
t.push(transformPoint([(x-xlength/2)/(xlength*1.41)*displayWidth*zoom, heights[x][y]*zoom, (y-ylength/2)/(ylength*1.41)*displayWidth*zoom]));
}
}
return output;
};
var renderSurface=function(){
var originalData=node.datum();
var data=getTransformedData();
var xlength=data.length;
var ylength=data[0].length;
var d0=[];
var idx=0;
for(var x=0;x<xlength-1;x++){
for(var y=0;y<ylength-1;y++){
var depth=data[x][y][2]+data[x+1][y][2]+data[x+1][y+1][2]+data[x][y+1][2];
d0.push({
path:
'M'+(data[x][y][0]+displayWidth/2).toFixed(10)+','+(data[x][y][1]+displayHeight/2).toFixed(10)+
'L'+(data[x+1][y][0]+displayWidth/2).toFixed(10)+','+(data[x+1][y][1]+displayHeight/2).toFixed(10)+
'L'+(data[x+1][y+1][0]+displayWidth/2).toFixed(10)+','+(data[x+1][y+1][1]+displayHeight/2).toFixed(10)+
'L'+(data[x][y+1][0]+displayWidth/2).toFixed(10)+','+(data[x][y+1][1]+displayHeight/2).toFixed(10)+'Z',
depth: depth, data: originalData[x][y]
});
}
}
d0.sort(function(a, b){return b.depth-a.depth});
var dr=node.selectAll('path').data(d0);
dr.enter().append("path");
if(trans){
dr=dr.transition().delay(trans.delay()).duration(trans.duration());
}
dr.attr("d",function(d){return d.path;});
if(colorFunction){
dr.attr("fill",function(d){return colorFunction(d.data)});
}
trans=false;
};
this.renderSurface=renderSurface;
this.setTurtable=function(yaw, pitch){
var cosA=Math.cos(pitch);
var sinA=Math.sin(pitch);
var cosB=Math.cos(yaw);
var sinB=Math.sin(yaw);
transformPrecalc[0]=cosB;
transformPrecalc[1]=0;
transformPrecalc[2]=sinB;
transformPrecalc[3]=sinA*sinB;
transformPrecalc[4]=cosA;
transformPrecalc[5]=-sinA*cosB;
transformPrecalc[6]=-sinB*cosA;
transformPrecalc[7]=sinA;
transformPrecalc[8]=cosA*cosB;
if(timer) clearTimeout(timer);
timer=setTimeout(renderSurface);
return this;
};
this.setTurtable(0.5,0.5);
this.surfaceColor=function(callback){
colorFunction=callback;
if(timer) clearTimeout(timer);
timer=setTimeout(renderSurface);
return this;
};
this.surfaceHeight=function(callback){
heightFunction=callback;
if(timer) clearTimeout(timer);
timer=setTimeout(renderSurface);
return this;
};
this.transition=function(){
var transition=d3.selection.prototype.transition.bind(node)();
colourFunction=null;
heightFunction=null;
transition.surfaceHeight=this.surfaceHeight;
transition.surfaceColor=this.surfaceColor;
trans=transition;
return transition;
};
this.setHeight=function(height){
if(height) displayHeight=height;
};
this.setWidth=function(width){
if(width) displayWidth=width;
};
};
d3.selection.prototype.surface3D=function(width,height){
if(!this.node().__surface__) this.node().__surface__=new Surface(this);
var surface=this.node().__surface__;
this.turntable=surface.setTurtable;
this.surfaceColor=surface.surfaceColor;
this.surfaceHeight=surface.surfaceHeight;
this.zoom=surface.setZoom;
surface.setHeight(height);
surface.setWidth(width);
this.transition=surface.transition.bind(surface);
return this;
};
})();