We propose a new isotropic remeshing method, based on Centroidal Voronoi Tessellation (CVT). Constructing

CVT requires to repeatedly compute Restricted Voronoi Diagram (RVD), defined as the intersection between a

3D Voronoi diagram and an input mesh surface. Existing methods use some approximations of RVD. In this

paper, we introduce an efficient algorithm that computes RVD exactly and robustly. As a consequence, we achieve

better remeshing quality than approximation-based approaches, without sacrificing efficiency. Our method for

RVD computation uses a simple procedure and a kd-tree to quickly identify and compute the intersection of each

triangle face with its incident Voronoi cells. Its time complexity is O(mlogn), where n is the number of seed points

and m is the number of triangles of the input mesh. Fast convergence of CVT is achieved using a quasi-Newton

method, which proved much faster than Lloyd’s iteration. Examples are presented to demonstrate the better quality

of remeshing results with our method than with the state-of-art approaches.