Some elementary algorithms on discrete differential geometry(DDGSpring2016 Demos)

I studied the on-line course(http://brickisland.net/DDGSpring2016/) by myself, and here are the screenshots of my implements(https://github.com/yaoyansi/DDGSpring2016) on some algorithms.

 

equally-weighted normal

 

area-weighted normals

 

angle-weighted normals

 

mean curvature normal

 

sphere-inscribed normal

 

 

 

 

Pick some vertexes and set the values, then construct the discrete Laplacian operator and solve the Poisson equation.

 

 

 

 

 

Perform one step of your mean curvature flow on the mesh to smooth the mesh

step size = 0.01

 

step size = 0.02

 

step size = 0.05

 

 

 

 

 

Decompose a vector field into 3 components: exact(curl-free), coexact(div-free), harmonic(curl-free&div-free)

top left, top right, down left, down right:  vector field, exact, coexact, harmonic