Bezier crust on quad subdivision surface

Jianzhong Wang; Fuhua Cheng

doi:10.2312/PE.PG.PG2013short.029-034

Bezier crust on quad subdivision surface

Jianzhong Wang, Fuhua Cheng

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

2 Scopus citations

Abstract

Subdivision surfaces have been widely used in computer graphics and can be classified into two categories, approximating and interpolatory. Representative approximating schemes are Catmull-Clark (quad) and Loop (triangular). Although widely used, one issue remains with the approximating schemes, i.e., the process of interpolating a set of data points is a global process so it is difficult to interpolate large data sets. In this paper, we present a local interpolation scheme for quad subdivision surfaces through appending a G² Bezier crust to the underlying surface, and show that this local interpolation scheme does not change the curvatures across the boundaries of underlying subdivision patches, therefore, one obtains high quality interpolating limit surfaces for engineering and graphics applications efficiently.

Original language	English
Title of host publication	21st Pacific Conference on Computer Graphics and Applications, PG 2013 - Short Papers
Editors	Bruno Levy, Xin Tong, KangKang Yin
Pages	29-34
Number of pages	6
ISBN (Electronic)	9783905674507
DOIs	https://doi.org/10.2312/PE.PG.PG2013short.029-034
State	Published - 2013
Event	21st Pacific Conference on Computer Graphics and Applications, PG 2013 - Singapore, Singapore Duration: Oct 7 2013 → Oct 9 2013

Publication series

Name	Proceedings - Pacific Conference on Computer Graphics and Applications
Volume	2013-October
ISSN (Print)	1550-4085

Conference

Conference	21st Pacific Conference on Computer Graphics and Applications, PG 2013
Country/Territory	Singapore
City	Singapore
Period	10/7/13 → 10/9/13

Bibliographical note

Funding Information:
This work is supported by National Science Foundation of China (61020106001, 61170324), National Science Council of ROC (NSC-100-2811-E-007-021), and a joint grant of National Tsinghua University and Chang-Gung Memorial Hospital (101N2756E1).

Publisher Copyright:
© The Eurographics Association 2013.

ASJC Scopus subject areas

Software
Computer Graphics and Computer-Aided Design
Modeling and Simulation

Access to Document

10.2312/PE.PG.PG2013short.029-034

Cite this

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title = "Bezier crust on quad subdivision surface",

abstract = "Subdivision surfaces have been widely used in computer graphics and can be classified into two categories, approximating and interpolatory. Representative approximating schemes are Catmull-Clark (quad) and Loop (triangular). Although widely used, one issue remains with the approximating schemes, i.e., the process of interpolating a set of data points is a global process so it is difficult to interpolate large data sets. In this paper, we present a local interpolation scheme for quad subdivision surfaces through appending a G2 Bezier crust to the underlying surface, and show that this local interpolation scheme does not change the curvatures across the boundaries of underlying subdivision patches, therefore, one obtains high quality interpolating limit surfaces for engineering and graphics applications efficiently.",

author = "Jianzhong Wang and Fuhua Cheng",

note = "Funding Information: This work is supported by National Science Foundation of China (61020106001, 61170324), National Science Council of ROC (NSC-100-2811-E-007-021), and a joint grant of National Tsinghua University and Chang-Gung Memorial Hospital (101N2756E1). Publisher Copyright: {\textcopyright} The Eurographics Association 2013.; null ; Conference date: 07-10-2013 Through 09-10-2013",

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doi = "10.2312/PE.PG.PG2013short.029-034",

language = "English",

series = "Proceedings - Pacific Conference on Computer Graphics and Applications",

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editor = "Bruno Levy and Xin Tong and KangKang Yin",

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Wang, J & Cheng, F 2013, Bezier crust on quad subdivision surface. in B Levy, X Tong & K Yin (eds), 21st Pacific Conference on Computer Graphics and Applications, PG 2013 - Short Papers. Proceedings - Pacific Conference on Computer Graphics and Applications, vol. 2013-October, pp. 29-34, 21st Pacific Conference on Computer Graphics and Applications, PG 2013, Singapore, Singapore, 10/7/13. https://doi.org/10.2312/PE.PG.PG2013short.029-034

Bezier crust on quad subdivision surface. / Wang, Jianzhong; Cheng, Fuhua.

21st Pacific Conference on Computer Graphics and Applications, PG 2013 - Short Papers. ed. / Bruno Levy; Xin Tong; KangKang Yin. 2013. p. 29-34 (Proceedings - Pacific Conference on Computer Graphics and Applications; Vol. 2013-October).

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

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N1 - Funding Information: This work is supported by National Science Foundation of China (61020106001, 61170324), National Science Council of ROC (NSC-100-2811-E-007-021), and a joint grant of National Tsinghua University and Chang-Gung Memorial Hospital (101N2756E1). Publisher Copyright: © The Eurographics Association 2013.

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N2 - Subdivision surfaces have been widely used in computer graphics and can be classified into two categories, approximating and interpolatory. Representative approximating schemes are Catmull-Clark (quad) and Loop (triangular). Although widely used, one issue remains with the approximating schemes, i.e., the process of interpolating a set of data points is a global process so it is difficult to interpolate large data sets. In this paper, we present a local interpolation scheme for quad subdivision surfaces through appending a G2 Bezier crust to the underlying surface, and show that this local interpolation scheme does not change the curvatures across the boundaries of underlying subdivision patches, therefore, one obtains high quality interpolating limit surfaces for engineering and graphics applications efficiently.

AB - Subdivision surfaces have been widely used in computer graphics and can be classified into two categories, approximating and interpolatory. Representative approximating schemes are Catmull-Clark (quad) and Loop (triangular). Although widely used, one issue remains with the approximating schemes, i.e., the process of interpolating a set of data points is a global process so it is difficult to interpolate large data sets. In this paper, we present a local interpolation scheme for quad subdivision surfaces through appending a G2 Bezier crust to the underlying surface, and show that this local interpolation scheme does not change the curvatures across the boundaries of underlying subdivision patches, therefore, one obtains high quality interpolating limit surfaces for engineering and graphics applications efficiently.

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Bezier crust on quad subdivision surface

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ASJC Scopus subject areas

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