Progressive interpolation using loop subdivision surfaces

Fuhua Cheng; Fengtao Fan; Shuhua Lai; Conglin Huang; Jiaxi Wang; Junhai Yong

doi:10.1007/978-3-540-79246-8_43

Progressive interpolation using loop subdivision surfaces

Fuhua Cheng, Fengtao Fan, Shuhua Lai, Conglin Huang, Jiaxi Wang, Junhai Yong

Computer Science

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

18 Scopus citations

Abstract

A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh such that limit surface of interpolates M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes.

Original language	English
Title of host publication	Advances in Geometric Modeling and Processing - 5th International Conference, GMP 2008, Proceedings
Pages	526-533
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-540-79246-8_43
State	Published - 2008
Event	5th International Conference on Geometric Modeling and Processing, GMP 2008 - Hangzhou, China Duration: Apr 23 2008 → Apr 25 2008

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4975 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	5th International Conference on Geometric Modeling and Processing, GMP 2008
Country/Territory	China
City	Hangzhou
Period	4/23/08 → 4/25/08

Keywords

Geometric Modeling
Interpolation
Loop Subdivision Surface

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-540-79246-8_43

Cite this

Cheng, F., Fan, F., Lai, S., Huang, C., Wang, J., & Yong, J. (2008). Progressive interpolation using loop subdivision surfaces. In Advances in Geometric Modeling and Processing - 5th International Conference, GMP 2008, Proceedings (pp. 526-533). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4975 LNCS). https://doi.org/10.1007/978-3-540-79246-8_43

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abstract = "A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh such that limit surface of interpolates M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes.",

keywords = "Geometric Modeling, Interpolation, Loop Subdivision Surface",

author = "Fuhua Cheng and Fengtao Fan and Shuhua Lai and Conglin Huang and Jiaxi Wang and Junhai Yong",

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Cheng, F, Fan, F, Lai, S, Huang, C, Wang, J & Yong, J 2008, Progressive interpolation using loop subdivision surfaces. in Advances in Geometric Modeling and Processing - 5th International Conference, GMP 2008, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4975 LNCS, pp. 526-533, 5th International Conference on Geometric Modeling and Processing, GMP 2008, Hangzhou, China, 4/23/08. https://doi.org/10.1007/978-3-540-79246-8_43

Progressive interpolation using loop subdivision surfaces. / Cheng, Fuhua; Fan, Fengtao; Lai, Shuhua et al.
Advances in Geometric Modeling and Processing - 5th International Conference, GMP 2008, Proceedings. 2008. p. 526-533 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4975 LNCS).

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

TY - GEN

T1 - Progressive interpolation using loop subdivision surfaces

AU - Cheng, Fuhua

AU - Fan, Fengtao

AU - Lai, Shuhua

AU - Huang, Conglin

AU - Wang, Jiaxi

AU - Yong, Junhai

PY - 2008

Y1 - 2008

N2 - A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh such that limit surface of interpolates M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes.

AB - A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh such that limit surface of interpolates M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes.

KW - Geometric Modeling

KW - Interpolation

KW - Loop Subdivision Surface

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DO - 10.1007/978-3-540-79246-8_43

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AN - SCOPUS:59049105929

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SN - 9783540792451

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

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Cheng F, Fan F, Lai S, Huang C, Wang J, Yong J. Progressive interpolation using loop subdivision surfaces. In Advances in Geometric Modeling and Processing - 5th International Conference, GMP 2008, Proceedings. 2008. p. 526-533. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-79246-8_43

Progressive interpolation using loop subdivision surfaces

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Keywords

ASJC Scopus subject areas

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