Robust Surface Remeshing Based on Conformal Welding

This work proposes a novel algorithm to eliminate the self-overlapping based on conformal welding theory, to improve the robustness of the surface remeshing algorithm. The proposed algorithm constructs a planar annulus with a high-quality triangulation, then weld the input surface with the annulus along their corresponding boundary components. The welded surface has a well-defined Riemannian metric and can be conformally mapped onto a convex planar domain by using the dynamic discrete surface Ricci flow method. This method guarantees the conformal mapping restricted on the input surface is a global embedding, and resolves the problem of self-intersections in the neighborhood of the boundary. The conformal welding method has been tested to remesh real car models. The experimental results demonstrate the method is highly effective in practice and greatly improves the robustness of the remeshing algorithm based on conformal uniformization.