Constructing Isosurfaces with Sharp Edges and Corners using Cube Merging

A number of papers present algorithms to construct isosurfaces with sharp edges and corners from hermite data, i.e. the exact surface normals at the exact intersection of the surface and grid edges. We discuss some fundamental problems with the previous algorithms and describe a new approach, based...

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Bibliographic Details
Published in:Computer graphics forum Vol. 32; no. 3pt1; pp. 11 - 20
Main Authors: Bhattacharya, A., Wenger, R.
Format: Journal Article
Language:English
Published: Oxford, UK Blackwell Publishing Ltd 01.06.2013
Subjects:
Algorithms
Analysis
and object representations
Computer graphics
Construction
Corners
Cubes
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Curve
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations
Intersections
Merging
solid
Studies
surface
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:A number of papers present algorithms to construct isosurfaces with sharp edges and corners from hermite data, i.e. the exact surface normals at the exact intersection of the surface and grid edges. We discuss some fundamental problems with the previous algorithms and describe a new approach, based on merging grid cubes near sharp edges, that produces significantly better results. Our algorithm requires only gradients at the grid vertices, not at each surface‐edge intersection point. We also give a method for measuring the correctness of the resulting sharp edges and corners in the isosurface.
Bibliography:istex:835C6136A3C0B5792CEA924EFAC59DA93C8E1A96
ArticleID:CGF12088
ark:/67375/WNG-2L8FNVCX-H
wenger@cse.ohio‐state.edu
bhattaca@cse.ohio‐state.edu
E‐mails
,
.
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ObjectType-Article-2
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12088