Mathematical graphics (1.48) cranioid curve skull line

This is a curve that looks like a skull. this curve reminds me of the 3D visualization of medical images when I was studying. the raw data at that time was a brain CT image. in 3D reconstruction, a method is to draw a surface by extracting the contour of each CT skull and listing it layer by layer to generate a 3D mesh. my research tastes heavy. here, I will also transform a layer-by-layer header line into a 3D mesh, that is, a graphic model of the arms.

The equation of the skull line is: (X2 + y2) 2-2 Y2 (Y + x) + A2 (B-1) x2 + (1-A2) x2 = 0.

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Header line script code:

#http://www.2dcurves.com/trig/trigcr.htmlvertices = 1000t = from (0) to (2*PI)a = 2b = 0.5r = sin(t) + a*sqrt(1 - b*cos(t)*cos(t))x = r*cos(t)y = r*sin(t)

Surface:

vertices = D1:360 D2:32u = from (0) to (2*PI) D1v = from (0) to 1 D2a = 2r = sin(u) + a*sqrt(1 - v*cos(u)*cos(u))x = r*cos(u)y = r*sin(u)

Mesh:

vertices = D1:50 D2:50u = from (0) to (2*PI) D1v = from (0) to (PI/2) D2a = 2b = 0.5r = sin(u) + a*sqrt(1 - 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)

Mathematical graphics (1.48) cranioid curve skull line