A general framework for surface modeling using geometric partial differential equations
type: Item
instance of: scholarly article
title: A general framework for surface modeling using geometric partial differential equations
zbMATH Open document ID: 1172.65351
author: Qin Zhang
author: Guo-Liang Xu
published in: Computer Aided Geometric Design
publication date: 2009-10-22T00:00:00Z
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5619638
zbMATH Keywords: surface modeling
zbMATH Keywords: geometric PDEs
zbMATH Keywords: triangular surface mesh
Wikidata QID: Q115359922
MaRDI profile type: Publication
full work available at URL: j.cagd.2007.06.002
OpenAlex ID: W2130829492
cites work: Contraction of convex hypersurfaces in Euclidean space
cites work: Generating blend surfaces using partial differential equations
cites work: Using partial differential equations to generate free-form surfaces
cites work: Enclosure theorems for extremals of elliptic parametric functionals
cites work: A finite element method for surface restoration with smooth boundary conditions
cites work: Q4407667
cites work: A fully discrete numerical scheme for weighted mean curvature flow
cites work: Q4023643
cites work: Q4091004
cites work: Q4003026
cites work: Dynamic PDE-based surface design using geometric and physical constraints
cites work: Q4871701
cites work: Computer Vision - ECCV 2004
cites work: Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
cites work: Functionality in blend design
cites work: On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
cites work: Optimal approximations by piecewise smooth functions and associated variational problems
cites work: Concerning my paper on the boundary behavior of minimal surfaces
cites work: Geometric methods in the elastic theory of membranes in liquid crystal phases
cites work: Geometric fairing of irregular meshes for free-form surface design
cites work: Deforming a hypersurface by its Gauss-Kronecker curvature
cites work: Q4277833
cites work: Discrete Laplace-Beltrami operators and their convergence
cites work: Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
cites work: Discrete surface modelling using partial differential equations
DOI: 10.1016/J.CAGD.2007.06.002
description: scientific article; zbMATH DE number 5619638