这是一种形似乎头颅的曲线.这种曲线让我想起读研的时候,搞的医学图像三维可视化.那时的原始数据为脑部CT图像.而三维重建中有一种方式是面绘制,是将每一幅CT的颅骨轮廓提取出来,然后一层层地罗列在一起，生成一个3d的MESH．我的研究口味重吧.这里，我也会将一层层的头颅线转化为３D的MESH,也就是一个天灵盖的图形模型.
头颅线的方程式为: (x2 + y2)2 - 2 y2 (y + x) + a2 (b - 1) x2 + (1 - a2) x2 = 0.
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头颅线脚本代码：
#http://www.2dcurves.com/trig/trigcr.html vertices = t = from () to (*PI) a =
b = 0.5 r = sin(t) + a*sqrt( - b*cos(t)*cos(t)) x = r*cos(t)
y = r*sin(t)
cranioid face A:
#http://www.2dcurves.com/trig/trigcr.html vertices = D1: D2: u = from () to (*PI) D1
v = from () to D2 b = 0.5 r = sin(u) + v*sqrt( - b*cos(u)*cos(u)) x = r*cos(u)
y = r*sin(u)
cranioid face B:
vertices = D1: D2: u = from () to (*PI) D1
v = from () to D2 a = r = sin(u) + a*sqrt( - v*cos(u)*cos(u)) x = r*cos(u)
y = r*sin(u)
MESH:
vertices = D1: D2: u = from () to (*PI) D1
v = from () to (PI/) D2 a =
b = 0.5 r = sin(u) + a*sqrt( - b*cos(u)*cos(u))
r = r*cos(v) x = r*cos(u)
y = r*sin(u) - 1.0*cos(v)
z = 0.8*a*sin(v)