A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
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
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
Intrinsic scale space for images on surfaces: The Geodesic Curvature Flow
Graphical Models and Image Processing
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
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
International Journal of Computer Vision
Computer Vision and Image Understanding
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
A level-set method for flow visualization
Proceedings of the conference on Visualization '00
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
Image Processing via the Beltrami Operator
ACCV '98 Proceedings of the Third Asian Conference on Computer Vision-Volume I - Volume I
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
Anisotropic diffusion of multivalued images with applications to color filtering
IEEE Transactions on Image Processing
Multigrid anisotropic diffusion
IEEE Transactions on Image Processing
A general framework for low level vision
IEEE Transactions on Image Processing
Modified curvature motion for image smoothing and enhancement
IEEE Transactions on Image Processing
Color image enhancement via chromaticity diffusion
IEEE Transactions on Image Processing
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
Surface fairing and featuring by mean curvature motions
Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
Journal of Computational Physics
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Journal of Computer Science and Technology
Discrete Laplace-Beltrami operators and their convergence
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Feature-preserving smoothing algorithm for polygons and meshes
VRCAI '04 Proceedings of the 2004 ACM SIGGRAPH international conference on Virtual Reality continuum and its applications in industry
Tightening: curvature-limiting morphological simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Mason: morphological simplification
Graphical Models
A sharpness dependent filter for mesh smoothing
Computer Aided Geometric Design - Special issue: Geometry processing
A Bayesian method for probable surface reconstruction and decimation
ACM Transactions on Graphics (TOG)
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Bilateral Recovering of Sharp Edges on Feature-Insensitive Sampled Meshes
IEEE Transactions on Visualization and Computer Graphics
Fourth order partial differential equations on general geometries
Journal of Computational Physics
Triangular surface mesh fairing via Gaussian curvature flow
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
A simple and stable feature-preserving smoothing method for contours-based reconstructed meshes
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
The trilateral filter for high contrast images and meshes
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Random walks for mesh denoising
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Non-iterative approach for global mesh optimization
Computer-Aided Design
Rectangular multi-chart geometry images
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Constraint-based fairing of surface meshes
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Surface reconstruction using local shape priors
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
A general framework for surface modeling using geometric partial differential equations
Computer Aided Geometric Design
A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes
Computers & Mathematics with Applications
Technical Section: A direction-oriented sharpness dependent filter for 3D polygon meshes
Computers and Graphics
Multi-component heart reconstruction from volumetric imaging
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Random walks for feature-preserving mesh denoising
Computer Aided Geometric Design
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Mixed finite element methods for geometric modeling using general fourth order geometric flows
Computer Aided Geometric Design
Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
Robust denoising of point-sampled surfaces
WSEAS Transactions on Computers
Local and Nonlocal Discrete Regularization on Weighted Graphs for Image and Mesh Processing
International Journal of Computer Vision
Geometric Mesh Denoising via Multivariate Kernel Diffusion
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
A sharpness dependent filter for mesh smoothing
Computer Aided Geometric Design - Special issue: Geometry processing
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Discrete Laplace--Beltrami operators and their convergence
Computer Aided Geometric Design
G1 surface modelling using fourth order geometric flows
Computer-Aided Design
Incremental reconstruction of sharp edges on mesh surfaces
Computer-Aided Design
IEEE Transactions on Image Processing
Convergence of discrete Laplace-Beltrami operators over surfaces
Computers & Mathematics with Applications
A smart stochastic approach for manifolds smoothing
SGP '08 Proceedings of the Symposium on Geometry Processing
Discrete regularization on weighted graphs for image and mesh filtering
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Physically-based surface texture synthesis using a coupled finite element system
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Feature-preserving kernel diffusion for surface denoising
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Feature-preserving mesh denoising based on vertices classification
Computer Aided Geometric Design
Construction of minimal subdivision surface with a given boundary
Computer-Aided Design
Higher-Order Feature-Preserving Geometric Regularization
SIAM Journal on Imaging Sciences
Interactive and anisotropic geometry processing using the screened Poisson equation
ACM SIGGRAPH 2011 papers
Prominent Field for Shape Processing and Analysis of Archaeological Artifacts
International Journal of Computer Vision
Removal of surface artifacts of material volume data with defects
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
A framework for intrinsic image processing on surfaces
Computer Vision and Image Understanding
A feature-preserving and volume-constrained flow for fairing irregular meshes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Mesh smoothing via adaptive bilateral filtering
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
Enhancing images painted on manifolds
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Surface-based imaging methods for high-resolution functional magnetic resonance imaging
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Construction of subdivision surfaces by fourth-order geometric flows with G1 boundary conditions
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Adaptive mesh smoothing for feature preservation
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
Volumetric nonlinear anisotropic diffusion on GPUs
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Surface mesh denoising with normal tensor framework
Graphical Models
Empirical mode decomposition on surfaces
Graphical Models
A robust algorithm for denoising meshes with high-resolution details
CVM'12 Proceedings of the First international conference on Computational Visual Media
Mesh denoising via L0 minimization
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
CAD/Graphics 2013: Feature-preserving filtering with L0 gradient minimization
Computers and Graphics
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We present a unified anisotropic geometric diffusion PDE model for smoothing (fairing) out noise both in triangulated two-manifold surface meshes in IR3 and functions defined on these surface meshes, while enhancing curve features on both by careful choice of an anisotropic diffusion tensor. We combine the C1 limit representation of Loop's subdivision for triangular surface meshes and vector functions on the surface mesh with the established diffusion model to arrive at a discretized version of the diffusion problem in the spatial direction. The time direction discretization then leads to a sparse linear system of equations. Iteratively solving the sparse linear system yields a sequence of faired (smoothed) meshes as well as faired functions.