Article

A scalable data structure for three-dimensional non-manifold objects

Authors:

Leila De Floriani,

Annie HuiAuthors Info & Claims

SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing

Pages 72 - 82

Published: 23 June 2003 Publication History

Abstract

In this paper, we address the problem of representing and manipulating non-manifold, mixed-dimensional objects described by three-dimensional simplicial complexes embedded in the 3D Euclidean space. We describe the design and the implementation of a new data structure, that we call the non-manifold indexed data structure with adjacencies (NMIA), which can represent any three-dimensional Euclidean simplicial complex compactly, since it encodes only the vertices and the top simplexes of the complex plus a restricted subset of topological relations among simplexes. The NMIA structure supports efficient traversal algorithms which retrieve topological relations in optimal time, and it scales very well to the manifold case. Here, we sketch traversal algorithms, and we compare the NMIA structure with data structures for manifold and regular 3D simplicial complexes.

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Cited By

Mueller-Roemer JAltenhofen CStork A(2017)Ternary Sparse Matrix Representation for Volumetric Mesh Subdivision and Processing on GPUsComputer Graphics Forum10.1111/cgf.1324536:5(59-69)Online publication date: 1-Aug-2017
https://dl.acm.org/doi/10.1111/cgf.13245
Lage MMartha LMoitinho De Almeida JLopes H(2017)IBHMEngineering with Computers10.1007/s00366-015-0395-033:4(727-744)Online publication date: 1-Oct-2017
https://dl.acm.org/doi/10.1007/s00366-015-0395-0
Canino DDe Floriani LWeiss K(2011)Short Communication to SMI 2011Computers and Graphics10.1016/j.cag.2011.03.00935:3(747-753)Online publication date: 1-Jun-2011
https://dl.acm.org/doi/10.1016/j.cag.2011.03.009
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Index Terms

A scalable data structure for three-dimensional non-manifold objects
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models

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Information

Published In

cover image ACM Other conferences

SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing

June 2003

277 pages

ISBN:1581136870

Conference Chairs:
Leif Kobbelt
Aachen University (RWTH)
,
Peter Schr�der
Caltech
,
Hugues Hoppe
Microsoft Research

Sponsors

EUROGRAPHICS: The European Association for Computer Graphics

In-Cooperation

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

Eurographics Association

Goslar, Germany

Publication History

Published: 23 June 2003

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SGP03

Sponsor:

EUROGRAPHICS

SGP03: Symposium on Geometry Processing

June 23 - 25, 2003

Aachen, Germany

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Overall Acceptance Rate 64 of 240 submissions, 27%

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Cited By

Mueller-Roemer JAltenhofen CStork A(2017)Ternary Sparse Matrix Representation for Volumetric Mesh Subdivision and Processing on GPUsComputer Graphics Forum10.1111/cgf.1324536:5(59-69)Online publication date: 1-Aug-2017
https://dl.acm.org/doi/10.1111/cgf.13245
Lage MMartha LMoitinho De Almeida JLopes H(2017)IBHMEngineering with Computers10.1007/s00366-015-0395-033:4(727-744)Online publication date: 1-Oct-2017
https://dl.acm.org/doi/10.1007/s00366-015-0395-0
Canino DDe Floriani LWeiss K(2011)Short Communication to SMI 2011Computers and Graphics10.1016/j.cag.2011.03.00935:3(747-753)Online publication date: 1-Jun-2011
https://dl.acm.org/doi/10.1016/j.cag.2011.03.009
Gurung TRossignac JBronsvoort WGonsor DRegli WGrandine TVandenbrande JGravesen JKeyser J(2009)SOT2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling10.1145/1629255.1629266(79-88)Online publication date: 5-Oct-2009
https://dl.acm.org/doi/10.1145/1629255.1629266
Botsch MPauly MKobbelt LAlliez PL�vy BBischoff SR�ssl CMcMains SSloan P(2007)Geometric modeling based on polygonal meshes Video files associated with this course are available from the citation pageACM SIGGRAPH 2007 courses10.1145/1281500.1281640(1-es)Online publication date: 5-Aug-2007
https://dl.acm.org/doi/10.1145/1281500.1281640
Hui AVaczlavik LDe Floriani LSheffer APolthier K(2006)A decomposition-based representation for 3D simplicial complexesProceedings of the fourth Eurographics symposium on Geometry processing10.5555/1281957.1281970(101-110)Online publication date: 26-Jun-2006
https://dl.acm.org/doi/10.5555/1281957.1281970
Botsch MPauly MRossl CBischoff SKobbelt LFinnegan JShreiner D(2006)Geometric modeling based on triangle meshesACM SIGGRAPH 2006 Courses10.1145/1185657.1185839(1-es)Online publication date: 30-Jul-2006
https://dl.acm.org/doi/10.1145/1185657.1185839
De Floriani LHui ADesbrun MPottmann H(2005)Data structures for simplicial complexesProceedings of the third Eurographics symposium on Geometry processing10.5555/1281920.1281940(119-es)Online publication date: 4-Jul-2005
https://dl.acm.org/doi/10.5555/1281920.1281940
De Floriani LHui AElber GPatrikalakis NBrunet P(2004)Update operations on 3D simplicial decompositions of non-manifold objectsProceedings of the ninth ACM symposium on Solid modeling and applications10.5555/1217875.1217900(169-180)Online publication date: 9-Jun-2004
https://dl.acm.org/doi/10.5555/1217875.1217900
De Floriani LGreenfieldboyce DHui ABoissonnat JAlliez P(2004)A data structure for non-manifold simplicial d-complexesProceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing10.1145/1057432.1057444(83-92)Online publication date: 8-Jul-2004
https://dl.acm.org/doi/10.1145/1057432.1057444

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