Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
ACM SIGGRAPH 2003 Papers
Geometric surface processing via normal maps
ACM Transactions on Graphics (TOG)
Constructing fair curves and surfaces with a Sobolev gradient method
Computer Aided Geometric Design
Higher-Order Nonlinear Priors for Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
A unified approach for fairing arbitrary polygonal meshes
Graphical Models
Discrete Laplace-Beltrami operators and their convergence
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Interactive mesh deformation using equality-constrained least squares
Computers and Graphics
G2 surface modeling using minimal mean-curvature-variation flow
Computer-Aided Design
Preserving form features in interactive mesh deformation
Computer-Aided Design
A general framework for surface modeling using geometric partial differential equations
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
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
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
A local tangential lifting differential method for triangular meshes
Mathematics and Computers in Simulation
Derivatives estimation for 2D digital data points
ACOS'06 Proceedings of the 5th WSEAS international conference on Applied computer science
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
An introduction to guided and polar surfacing
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Preserving form-features in interactive mesh deformation
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Minimal mean-curvature-variation surfaces and their applications in surface modeling
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
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In this paper we present a new algorithm to create fair discrete surfaces satisfying prescribed G1 boundary constraints. All surfaces are built by discretizing a partial differential equation based on pure geometric intrinsics. The construction scheme is designed to produce meshes that are partitioned into regular domains. Using this knowledge in advance we can develop a fast iterative algorithm resulting in surfaces of high aesthetic quality that have no local mean curvature extrema in the interior.