Discrete conformal shape representation and reconstruction of 3D mesh objects

Hongdong Li; Richard Hartley; Hans Burkhardt

doi:10.1007/11553595_66

Discrete conformal shape representation and reconstruction of 3D mesh objects

Hongdong Li^*, Richard Hartley, Hans Burkhardt

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper studies shape representation of general 3D objects. In particular, it proposes a conformal representation for genus-zero mesh objects, by using the discrete conformai mapping technique. It also proposes a new method to reconstruct the original shape from its conformal representation. In order to simplify and robustify the computation, we made several improvements to the above two procedures. The modifications include planar graph drawing initialization, Moebius factorization and spring-embedding-based reconstruction, etc, Though being mostly incremental, these modifications do provide significant improvements on previous methods, Possible applications include 3D geometry compression and object classification/recognition, etc.

Original language	English
Title of host publication	Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings
Publisher	Springer Verlag
Pages	535-542
Number of pages	8
ISBN (Print)	3540288694, 9783540288695
DOIs	https://doi.org/10.1007/11553595_66
Publication status	Published - 2005
Event	13th International Conference on Image Analysis and Processing, ICIAP 2005 - Cagliari, Italy Duration: 6 Sept 2005 → 8 Sept 2005

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3617 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	13th International Conference on Image Analysis and Processing, ICIAP 2005
Country/Territory	Italy
City	Cagliari
Period	6/09/05 → 8/09/05

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10.1007/11553595_66

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Li, H., Hartley, R., & Burkhardt, H. (2005). Discrete conformal shape representation and reconstruction of 3D mesh objects. In Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings (pp. 535-542). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3617 LNCS). Springer Verlag. https://doi.org/10.1007/11553595_66

Li, Hongdong ; Hartley, Richard ; Burkhardt, Hans. / Discrete conformal shape representation and reconstruction of 3D mesh objects. Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings. Springer Verlag, 2005. pp. 535-542 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Discrete conformal shape representation and reconstruction of 3D mesh objects",

abstract = "This paper studies shape representation of general 3D objects. In particular, it proposes a conformal representation for genus-zero mesh objects, by using the discrete conformai mapping technique. It also proposes a new method to reconstruct the original shape from its conformal representation. In order to simplify and robustify the computation, we made several improvements to the above two procedures. The modifications include planar graph drawing initialization, Moebius factorization and spring-embedding-based reconstruction, etc, Though being mostly incremental, these modifications do provide significant improvements on previous methods, Possible applications include 3D geometry compression and object classification/recognition, etc.",

author = "Hongdong Li and Richard Hartley and Hans Burkhardt",

year = "2005",

doi = "10.1007/11553595_66",

language = "English",

isbn = "3540288694",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

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booktitle = "Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings",

address = "Germany",

note = "13th International Conference on Image Analysis and Processing, ICIAP 2005 ; Conference date: 06-09-2005 Through 08-09-2005",

}

Li, H, Hartley, R & Burkhardt, H 2005, Discrete conformal shape representation and reconstruction of 3D mesh objects. in Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3617 LNCS, Springer Verlag, pp. 535-542, 13th International Conference on Image Analysis and Processing, ICIAP 2005, Cagliari, Italy, 6/09/05. https://doi.org/10.1007/11553595_66

Discrete conformal shape representation and reconstruction of 3D mesh objects. / Li, Hongdong; Hartley, Richard; Burkhardt, Hans.
Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings. Springer Verlag, 2005. p. 535-542 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3617 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This paper studies shape representation of general 3D objects. In particular, it proposes a conformal representation for genus-zero mesh objects, by using the discrete conformai mapping technique. It also proposes a new method to reconstruct the original shape from its conformal representation. In order to simplify and robustify the computation, we made several improvements to the above two procedures. The modifications include planar graph drawing initialization, Moebius factorization and spring-embedding-based reconstruction, etc, Though being mostly incremental, these modifications do provide significant improvements on previous methods, Possible applications include 3D geometry compression and object classification/recognition, etc.

AB - This paper studies shape representation of general 3D objects. In particular, it proposes a conformal representation for genus-zero mesh objects, by using the discrete conformai mapping technique. It also proposes a new method to reconstruct the original shape from its conformal representation. In order to simplify and robustify the computation, we made several improvements to the above two procedures. The modifications include planar graph drawing initialization, Moebius factorization and spring-embedding-based reconstruction, etc, Though being mostly incremental, these modifications do provide significant improvements on previous methods, Possible applications include 3D geometry compression and object classification/recognition, etc.

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SN - 9783540288695

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings

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Li H, Hartley R, Burkhardt H. Discrete conformal shape representation and reconstruction of 3D mesh objects. In Image Analysis and Processing - ICIAP 2005, 13th International Conference, Proceedings. Springer Verlag. 2005. p. 535-542. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11553595_66

Discrete conformal shape representation and reconstruction of 3D mesh objects

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