A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Interactive geometry remeshing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
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
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
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
Direct sampling on surfaces for high quality remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Direct sampling on surfaces for high quality remeshing
Computer Aided Geometric Design
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Geometry processing in CAD proposes rigorous requirements on mesh quality. In this paper an integrated triangular mesh optimization method is proposed. Edge marking function and local edge operations are used to improve the vertex sampling. Modified weighted centroidal Voronoi tessellation is employed to regularize the triangle geometry. A simulated annealing algorithm is proposed for optimizing the vertex connectivity. Finally, a signal processing filter is developed for mesh denoising. In every optimization stage, the shape deviations from original mesh are prevented, and the boundaries and features are well preserved. Since all modifications are performed locally, the error-prone global parameterization is avoided. This technique has been deployed in real-world product design. Its advantage and robustness are verified by many examples implemented in the geometric design software PUM 2.0 developed by Peking University.