SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Triangulating topological spaces
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive geometry remeshing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Constrained Centroidal Voronoi Tessellations for Surfaces
SIAM Journal on Scientific Computing
Dynamic remeshing and applications
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
SMI '03 Proceedings of the Shape Modeling International 2003
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A remeshing approach to multiresolution modeling
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Voronoi-Delaunay duality and Delaunay meshes
Proceedings of the 2007 ACM symposium on Solid and physical modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Generic Remeshing of 3D Triangular Meshes with Metric-Dependent Discrete Voronoi Diagrams
IEEE Transactions on Visualization and Computer Graphics
A Discrete Laplace–Beltrami Operator for Simplicial Surfaces
Discrete & Computational Geometry
Direct sampling on surfaces for high quality remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Isotropic remeshing with fast and exact computation of Restricted Voronoi Diagram
SGP '09 Proceedings of the Symposium on Geometry Processing
Polygonal surface remeshing with Delaunay refinement
Engineering with Computers - Special Issue: 14th International Meshing Roundtable in 2005. Guest Editor: Byron W. Hanks
Edge flips and deforming surface meshes
Proceedings of the twenty-seventh annual symposium on Computational geometry
Construction of Iso-Contours, Bisectors, and Voronoi Diagrams on Triangulated Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We develop a novel isotropic remeshing method based on constrained centroidal Delaunay mesh (CCDM), a generalization of centroidal patch triangulation from 2D to mesh surface. Our method starts with resampling an input mesh with a vertex distribution according to a user-defined density function. The initial remeshing result is then progressively optimized by alternatively recovering the Delaunay mesh and moving each vertex to the centroid of its 1-ring neighborhood. The key to making such simple iterations work is an efficient optimization framework that combines both local and global optimization methods. Our method is parameterization-free, thus avoiding the metric distortion introduced by parameterization, and generating more well-shaped triangles. Our method guarantees that the topology of surface is preserved without requiring geodesic information. We conduct various experiments to demonstrate the simplicity, efficacy, and robustness of the presented method. © 2012 Wiley Periodicals, Inc.