Created
December 2, 2014 23:05
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Code to create 3d surface patch using multiple Bezier curves, js
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function plot() { | |
ctx.fillRect(0, 0, canvas.width, canvas.height); | |
// draw top line and find the points | |
set[0] = []; | |
set[1] = []; | |
ctx.beginPath(); | |
ctx.moveTo(p1[0], p1[1]); | |
drawPoint(p1[0], p1[1]); | |
var c = 0; | |
for(var t = 0; t <= 1; t += .001) { | |
var x = Math.pow((1-t),3)*p1[0] + 3*t*(1-t)*(1-t)*p2[0] + 3*t*t*(1-t)*p3[0] + t*t*t*(p1[0] + width); | |
var y = Math.pow((1-t),3)*p1[1] + 3*t*(1-t)*(1-t)*(p1[1] + d1) | |
+ 3*t*t*(1-t)*(p1[1] +d2) + t*t*t*p1[1]; | |
ctx.lineTo(x,y); | |
++c; | |
if (c % 100 == 0) { | |
set[0][set[0].length] = [x,y]; | |
ctx.stroke(); | |
drawPoint(x,y); | |
ctx.beginPath(); | |
} | |
} | |
// draw first verticle line and collect the points | |
ctx.moveTo(p1[0], p1[1]); | |
var c = 0; | |
for(var t = 0; t <= 1; t += .001) { | |
var x = Math.pow((1-t),3)*p1[0] + 3*t*(1-t)*(1-t)*(p1[0] + d1) | |
+ 3*t*t*(1-t)*(p1[0] +d2) + t*t*t*p1[0]; | |
var y = Math.pow((1-t),3)*p1[1] + 3*t*(1-t)*(1-t)*p5[1] + 3*t*t*(1-t)*p6[1] + t*t*t*(p1[1]+height); | |
ctx.lineTo(x,y); | |
++c; | |
if (c % 100 == 0) { | |
set[1][set[1].length] = [x,y]; | |
ctx.stroke(); | |
drawPoint(x,y); | |
ctx.beginPath(); | |
} | |
} | |
// draw all vertical lines in a loop | |
// then draw horizontal lines in a loop | |
for(i = 0; i <= 9; i++) { | |
ctx.moveTo(set[0][i][0], set[0][i][1]); | |
var c = 0; | |
for(var t = 0; t <= 1; t += .001) { | |
var x = Math.pow((1-t),3)*set[0][i][0] + 3*t*(1-t)*(1-t)*(set[0][i][0] + d1) | |
+ 3*t*t*(1-t)*(set[0][i][0] + d2) + t*t*t*set[0][i][0]; | |
var y = Math.pow((1-t),3)*set[0][i][1] + 3*t*(1-t)*(1-t)*(180) | |
+ 3*t*t*(1-t)*(300) + t*t*t*(set[0][i][1] + height); | |
ctx.lineTo(x,y); | |
++c; | |
if (c % 100 == 0) { | |
set[0][set[0].length] = [x,y]; | |
ctx.stroke(); | |
drawPoint(x,y); | |
ctx.beginPath(); | |
} | |
} | |
} | |
for(i = 0; i <= 9; i++) { | |
ctx.moveTo(set[1][i][0], set[1][i][1]); | |
var c = 0; | |
for(var t = 0; t <= 1; t += .001) { | |
var y = Math.pow((1-t),3)*set[1][i][1] + 3*t*(1-t)*(1-t)*(set[1][i][1] + d1) | |
+ 3*t*t*(1-t)*(set[1][i][1] + d2) + t*t*t*set[1][i][1]; | |
var x = Math.pow((1-t),3)*(set[1][i][0]) + 3*t*(1-t)*(1-t)*(180) | |
+ 3*t*t*(1-t)*(300) + t*t*t*(set[1][i][0] + width); | |
ctx.lineTo(x,y); | |
++c; | |
if (c % 100 == 0) { | |
set[0][set[0].length] = [x,y]; | |
ctx.stroke(); | |
drawPoint(x,y); | |
ctx.beginPath(); | |
} | |
} | |
} | |
ctx.stroke(); | |
} |
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