How to make 3D object smooth?

Question

I want to make the below picture into an egg with smooth surface. For the implementation in Mathematica, please, see this thread here. This thread considers mathematical methods to achieve the goal while the last one only in a single program. How can you make the 3D object smooth mathematically?

Answer 1

I don't know how to do it but following methods may help.

• convolution
• approximation with lower-degree polynomials such as interpolation and splines
• Fourier-Transform: remove the high frequencies and then inverse-fourier-transform
• Convex-hull