@inproceedings{lvy2010lp,
author = {Lévy, Bruno and Liu, Yang},
title = {Lp Centroidal Voronoi Tessellation and its Applications},
booktitle = {SIGGRAPH '10 ACM SIGGRAPH 2010 papers},
year = {2010},
month = {July},
abstract = {This paper introduces Lp-Centroidal Voronoi Tessellation (LpCVT), a generalization of CVT that minimizes a higher-order moment of the coordinates on the Voronoi cells. This generalization allows for aligning the axes of the Voronoi cells with a prede- fined background tensor field (anisotropy). Lp-CVT is computed by a quasi-Newton optimization framework, based on closed-form derivations of the objective function and its gradient. The derivations are given for both surface meshing (Ω is a triangulated mesh with per-facet anisotropy) and volume meshing (Ω is the interior of a closed triangulated mesh with a 3D anisotropy field). Applications to anisotropic, quad-dominant surface remeshing and to hexdominant volume meshing are presented. Unlike previous work, Lp-CVT captures sharp features and intersections without requiring any pre-tagging},
publisher = {ACM},
url = {http://approjects.co.za/?big=en-us/research/publication/lp-centroidal-voronoi-tessellation-applications/},
edition = {SIGGRAPH '10 ACM SIGGRAPH 2010 papers},
}