Tri2NURBS

• Input: triangular mesh
• Output: a conforming quad layout, followed by NURBS interpolation.

Frist step: compute eigen functions

eigens(input, 'EigenFunctions', num)

Second step: Morse Smale Quadrangulation

morseSmaleQuadrangulation("EigenFunctions.vtu", "./Quadrangulation", num, start)

Third step: singularities and separatrices

pt_list, idx_patches = conformal_patch_gen(f'./Quadrangulation/EigenFunction{id}.obj')

Fourth step: NURBS multi-patch surface approximation

degree_us,degree_vs,kv_us,kv_vs,ctrlpts_size_us,ctrlpts_size_vs,ctrlpts,weights=approximate_mp_nurbs_surf(pt_list, idx_patches,max_deg,ctrlpts_size)