On the limited memory BFGS method for large scale optimization
Mathematical Programming: Series A and B
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd 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
Optimal point placement for mesh smoothing
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
A simple algorithm for surface denoising
Proceedings of the conference on Visualization '01
Polyhedral Surface Smoothing with Simultaneous Mesh Regularization
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
SMI '03 Proceedings of the Shape Modeling International 2003
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
The trilateral filter for high contrast images and meshes
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space (Lecture Notes in Computer Science)
Variational tetrahedral meshing
ACM SIGGRAPH 2005 Papers
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
3D triangular mesh optimization in geometry processing for CAD
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
Improving the neural meshes algorithm for 3D surface reconstruction with edge swap operations
Proceedings of the 2008 ACM symposium on Applied computing
High-fidelity geometric modeling for biomedical applications
Finite Elements in Analysis and Design
Random walks for feature-preserving mesh denoising
Computer Aided Geometric Design
A new feature-preserving mesh-smoothing algorithm
The Visual Computer: International Journal of Computer Graphics
Quality meshing of implicit solvation models of biomolecular structures
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Isotropic remeshing with fast and exact computation of Restricted Voronoi Diagram
SGP '09 Proceedings of the Symposium on Geometry Processing
Feature-preserving mesh denoising via attenuated bilateral normal filtering and quadrics
Proceedings of the 26th Spring Conference on Computer Graphics
Fast and Effective Feature-Preserving Mesh Denoising
IEEE Transactions on Visualization and Computer Graphics
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A method of triangular surface mesh smoothing is presented to improve angle quality by extending the original optimal Delaunay triangulation (ODT) to surface meshes. The mesh quality is improved by solving a quadratic optimization problem that minimizes the approximated interpolation error between a parabolic function and its piecewise linear interpolation defined on the mesh. A suboptimal problem is derived to guarantee a unique, analytic solution that is significantly faster with little loss in accuracy as compared to the optimal one. In addition to the quality-improving capability, the proposed method has been adapted to remove noise while faithfully preserving sharp features such as edges and corners of a mesh. Numerous experiments are included to demonstrate the performance of the method.