Article

Unconstrained isosurface extraction on arbitrary octrees

Authors:

Michael Kazhdan,

Hugues HoppeAuthors Info & Claims

SGP '07: Proceedings of the fifth Eurographics symposium on Geometry processing

Pages 125 - 133

Published: 04 July 2007 Publication History

Abstract

This paper presents a novel algorithm for generating a watertight level-set from an octree. We show that the levelset can be efficiently extracted regardless of the topology of the octree or the values assigned to the vertices. The key idea behind our approach is the definition of a set of binary edge-trees derived from the octree's topology. We show that the edge-trees can be used define the positions of the isovalue-crossings in a consistent fashion and to resolve inconsistencies that may arise when a single edge has multiple isovalue-crossings. Using the edge-trees, we show that a provably watertight mesh can be extracted from the octree without necessitating the refinement of nodes or modification of their values.

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Cited By

Lu WShi ZSun JWang B(2018)Surface Reconstruction Based on the Modified Gauss FormulaACM Transactions on Graphics10.1145/323398438:1(1-18)Online publication date: 14-Dec-2018
https://dl.acm.org/doi/10.1145/3233984
Guo DLi CWu LYang J(2017)Improved marching tetrahedra algorithm based on hierarchical signed distance field and multi-scale depth map fusion for 3D reconstructionJournal of Visual Communication and Image Representation10.1016/j.jvcir.2016.12.01648:C(491-501)Online publication date: 1-Oct-2017
https://dl.acm.org/doi/10.1016/j.jvcir.2016.12.016
Miltiadou MCampbell NBrown MCosker DGrant MTurkay CWan T(2016)Improving and optimising visualisations of full-waveform LiDAR dataProceedings of the conferece on Computer Graphics & Visual Computing10.5555/3056482.3056492(45-47)Online publication date: 15-Sep-2016
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Index Terms

Unconstrained isosurface extraction on arbitrary octrees
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

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Information & Contributors

Information

Published In

cover image ACM Other conferences

SGP '07: Proceedings of the fifth Eurographics symposium on Geometry processing

July 2007

273 pages

ISBN:9783905673463

Conference Chairs:
Alexander Belyaev
MPI Informatik
,
Michael Garland
NVIDIA Corporation

Sponsors

EUROGRAPHICS: The European Association for Computer Graphics

Publisher

Eurographics Association

Goslar, Germany

Publication History

Published: 04 July 2007

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Conference

SGP '07

Sponsor:

EUROGRAPHICS

SGP '07: Geometry processing

July 4 - 6, 2007

Barcelona, Spain

Acceptance Rates

SGP '07 Paper Acceptance Rate 21 of 74 submissions, 28%;

Overall Acceptance Rate 64 of 240 submissions, 27%

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Cited By

Lu WShi ZSun JWang B(2018)Surface Reconstruction Based on the Modified Gauss FormulaACM Transactions on Graphics10.1145/323398438:1(1-18)Online publication date: 14-Dec-2018
https://dl.acm.org/doi/10.1145/3233984
Guo DLi CWu LYang J(2017)Improved marching tetrahedra algorithm based on hierarchical signed distance field and multi-scale depth map fusion for 3D reconstructionJournal of Visual Communication and Image Representation10.1016/j.jvcir.2016.12.01648:C(491-501)Online publication date: 1-Oct-2017
https://dl.acm.org/doi/10.1016/j.jvcir.2016.12.016
Miltiadou MCampbell NBrown MCosker DGrant MTurkay CWan T(2016)Improving and optimising visualisations of full-waveform LiDAR dataProceedings of the conferece on Computer Graphics & Visual Computing10.5555/3056482.3056492(45-47)Online publication date: 15-Sep-2016
https://dl.acm.org/doi/10.5555/3056482.3056492
Grosso RKobbelt LOvsjanikov MPanozzo D(2016)Construction of topologically correct and manifold isosurfacesProceedings of the Symposium on Geometry Processing10.1111/cgf.12975(187-196)Online publication date: 20-Jun-2016
https://dl.acm.org/doi/10.1111/cgf.12975
(2016)Building binary orientation octree for an arbitrary scattered point setGraphical Models10.1016/j.gmod.2016.03.00285:C(30-36)Online publication date: 1-May-2016
https://dl.acm.org/doi/10.1016/j.gmod.2016.03.002
de Araújo BLopes DJepp PJorge JWyvill B(2015)A Survey on Implicit Surface PolygonizationACM Computing Surveys10.1145/273219747:4(1-39)Online publication date: 26-May-2015
https://dl.acm.org/doi/10.1145/2732197
Centin MPezzotti NSignoroni A(2015)Poisson-driven seamless completion of triangular meshesComputer Aided Geometric Design10.1016/j.cagd.2015.03.00635:C(42-55)Online publication date: 1-May-2015
https://dl.acm.org/doi/10.1016/j.cagd.2015.03.006
Fuhrmann SLangguth FGoesele MFellner DScopigno R(2014)MVEProceedings of the Eurographics Workshop on Graphics and Cultural Heritage10.5555/2854922.2854925(11-18)Online publication date: 6-Oct-2014
https://dl.acm.org/doi/10.5555/2854922.2854925
Fuhrmann SGoesele M(2014)Floating scale surface reconstructionACM Transactions on Graphics10.1145/2601097.260116333:4(1-11)Online publication date: 27-Jul-2014
https://dl.acm.org/doi/10.1145/2601097.2601163
(2014)Out-of-core adaptive iso-surface extraction from binary volume dataGraphical Models10.1016/j.gmod.2014.06.00176:6(593-608)Online publication date: 1-Nov-2014
https://dl.acm.org/doi/10.1016/j.gmod.2014.06.001
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