Unified subdivision generalizing 2- and 4-direction box splines

Canjiang Ren; Guiqing Li; Weiyin Ma

doi:10.1109/CADCG.2009.5246889

Unified subdivision generalizing 2- and 4-direction box splines

Canjiang Ren, Guiqing Li, Weiyin Ma

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

This paper applies a modified composite v2 subdivision framework to an extensive family of box splines, and therefore generalizes these box splines to irregular control meshes. Particularly, a variant of the quad subdivision of Peters and Shiue (2004) is shown as a special case of the new framework. In addition, a new dual subdivision scheme is also derived, as a generalization of some special box splines. Towards the practical use, the unified framework is also extended for modelling boundary and crease features. © 2009 IEEE.

Original language	English
Title of host publication	Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009
Pages	292-299
DOIs	https://doi.org/10.1109/CADCG.2009.5246889
Publication status	Published - 2009
Event	2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 - Huangshan, China Duration: 19 Aug 2009 → 21 Aug 2009

Conference

Conference	2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009
Place	China
City	Huangshan
Period	19/08/09 → 21/08/09

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title = "Unified subdivision generalizing 2- and 4-direction box splines",

abstract = "This paper applies a modified composite v2 subdivision framework to an extensive family of box splines, and therefore generalizes these box splines to irregular control meshes. Particularly, a variant of the quad subdivision of Peters and Shiue (2004) is shown as a special case of the new framework. In addition, a new dual subdivision scheme is also derived, as a generalization of some special box splines. Towards the practical use, the unified framework is also extended for modelling boundary and crease features. {\textcopyright} 2009 IEEE.",

author = "Canjiang Ren and Guiqing Li and Weiyin Ma",

year = "2009",

doi = "10.1109/CADCG.2009.5246889",

language = "English",

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pages = "292--299",

booktitle = "Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009",

note = "2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 ; Conference date: 19-08-2009 Through 21-08-2009",

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Ren, C, Li, G & Ma, W 2009, Unified subdivision generalizing 2- and 4-direction box splines. in Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009., 5246889, pp. 292-299, 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009, Huangshan, China, 19/08/09. https://doi.org/10.1109/CADCG.2009.5246889

Unified subdivision generalizing 2- and 4-direction box splines. / Ren, Canjiang; Li, Guiqing; Ma, Weiyin.
Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009. 2009. p. 292-299 5246889.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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PY - 2009

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N2 - This paper applies a modified composite v2 subdivision framework to an extensive family of box splines, and therefore generalizes these box splines to irregular control meshes. Particularly, a variant of the quad subdivision of Peters and Shiue (2004) is shown as a special case of the new framework. In addition, a new dual subdivision scheme is also derived, as a generalization of some special box splines. Towards the practical use, the unified framework is also extended for modelling boundary and crease features. © 2009 IEEE.

AB - This paper applies a modified composite v2 subdivision framework to an extensive family of box splines, and therefore generalizes these box splines to irregular control meshes. Particularly, a variant of the quad subdivision of Peters and Shiue (2004) is shown as a special case of the new framework. In addition, a new dual subdivision scheme is also derived, as a generalization of some special box splines. Towards the practical use, the unified framework is also extended for modelling boundary and crease features. © 2009 IEEE.

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M3 - RGC 32 - Refereed conference paper (with host publication)

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BT - Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009

T2 - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009

Y2 - 19 August 2009 through 21 August 2009

ER -

Unified subdivision generalizing 2- and 4-direction box splines

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