Isotopic approximation within a tolerance volume

DOI10.1145/2766950zbMath1334.68258OpenAlexW2019640405MaRDI QIDQ2802293

Manish Mandad, Pierre Alliez, David Cohen-Steiner

Publication date: 25 April 2016

Published in: ACM Transactions on Graphics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01186074/file/approximation.pdf

zbMATH Keywords

mesh refinementmesh simplificationintersection-freeisotopic approximationmutual tessellationtolerance volume

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Approximation algorithms (68W25) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Delaunay meshing of implicit domains with boundary edge sharpening and sliver elimination

Uses Software

• OpenFlipper
• SegMatch

Cites Work

• Geometric inference for probability measures
• Surface reconstruction by Voronoi filtering
• Simplification of surface mesh using Hausdorff envelope
• OpenFlipper: An Open Source Geometry Processing and Rendering Framework
• Surface Approximation and Geometric Partitions
• SUCCESSIVE MAPPINGS: AN APPROACH TO POLYGONAL MESH SIMPLIFICATION WITH GUARANTEED ERROR BOUNDS
• A SIMPLE ALGORITHM FOR HOMEOMORPHIC SURFACE RECONSTRUCTION
• INTERSECTION FREE SIMPLIFICATION
• Smooth surface reconstruction via natural neighbour interpolation of distance functions
• Provably good sampling and meshing of surfaces

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