Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
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
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Fairing of non-manifolds for visualization
Proceedings of the conference on Visualization '00
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Triangular surface mesh fairing via Gaussian curvature flow
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Mixed finite element methods for geometric modeling using general fourth order geometric flows
Computer Aided Geometric Design
Designing Bézier surfaces minimizing the Gaussian curvature
ROCOM'06 Proceedings of the 6th WSEAS international conference on Robotics, control and manufacturing technology
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The aim of this paper is smoothing triangular surface meshes using a diffusion process while preserving or enhancing several important features. These features include sharp feature, detail structure, homogeneity of the mesh, interpolation of some vertices and approximation of the initial mesh. We realize these goals using a unified partial differential equation model, so that the numerical solving process of the equation is significantly simplified.