Simplification of numerical rational surfaces

Liyong Shen; Min Wu; Zhengfeng Yang

doi:10.1109/CSO.2009.274

Simplification of numerical rational surfaces

Liyong Shen^*
, Min Wu
, Zhengfeng Yang

^*Corresponding author for this work

Software Engineering Institute

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

Abstract

Simplifying numerical rational surfaces is a basic problem in solid modeling, CAD and CAM. We present an algorithm to find a simpler approximate reparametrization of numerical rational surfaces which is very useful in original modeling design. Based on a better algebraic degree bound, approximate implicitization is proposed.

Original language	English
Title of host publication	Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
Pages	617-621
Number of pages	5
DOIs	https://doi.org/10.1109/CSO.2009.274
State	Published - 2009
Event	2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009 - Sanya, Hainan, China Duration: 24 Apr 2009 → 26 Apr 2009

Publication series

Name	Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
Volume	1

Conference

Conference	2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009
Country/Territory	China
City	Sanya, Hainan
Period	24/04/09 → 26/04/09

Keywords

Implicitizations
Numerical rational surfaces
Parameter supports
Reparametrizations

Access to Document

10.1109/CSO.2009.274

Cite this

Shen, L., Wu, M., & Yang, Z. (2009). Simplification of numerical rational surfaces. In Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009 (pp. 617-621). Article 5193772 (Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009; Vol. 1). https://doi.org/10.1109/CSO.2009.274

@inproceedings{1f9744cf96254c2a9ab04ddd39f6104d,

title = "Simplification of numerical rational surfaces",

abstract = "Simplifying numerical rational surfaces is a basic problem in solid modeling, CAD and CAM. We present an algorithm to find a simpler approximate reparametrization of numerical rational surfaces which is very useful in original modeling design. Based on a better algebraic degree bound, approximate implicitization is proposed.",

keywords = "Implicitizations, Numerical rational surfaces, Parameter supports, Reparametrizations",

author = "Liyong Shen and Min Wu and Zhengfeng Yang",

year = "2009",

doi = "10.1109/CSO.2009.274",

language = "英语",

isbn = "9780769536057",

series = "Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009",

pages = "617--621",

booktitle = "Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009",

note = "2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009 ; Conference date: 24-04-2009 Through 26-04-2009",

}

Shen, L, Wu, M & Yang, Z 2009, Simplification of numerical rational surfaces. in Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009., 5193772, Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009, vol. 1, pp. 617-621, 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009, Sanya, Hainan, China, 24/04/09. https://doi.org/10.1109/CSO.2009.274

Simplification of numerical rational surfaces. / Shen, Liyong; Wu, Min; Yang, Zhengfeng.
Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009. 2009. p. 617-621 5193772 (Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009; Vol. 1).

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

TY - GEN

T1 - Simplification of numerical rational surfaces

AU - Shen, Liyong

AU - Wu, Min

AU - Yang, Zhengfeng

PY - 2009

Y1 - 2009

N2 - Simplifying numerical rational surfaces is a basic problem in solid modeling, CAD and CAM. We present an algorithm to find a simpler approximate reparametrization of numerical rational surfaces which is very useful in original modeling design. Based on a better algebraic degree bound, approximate implicitization is proposed.

AB - Simplifying numerical rational surfaces is a basic problem in solid modeling, CAD and CAM. We present an algorithm to find a simpler approximate reparametrization of numerical rational surfaces which is very useful in original modeling design. Based on a better algebraic degree bound, approximate implicitization is proposed.

KW - Implicitizations

KW - Numerical rational surfaces

KW - Parameter supports

KW - Reparametrizations

UR - https://www.scopus.com/pages/publications/70649103052

U2 - 10.1109/CSO.2009.274

DO - 10.1109/CSO.2009.274

M3 - 会议稿件

AN - SCOPUS:70649103052

SN - 9780769536057

T3 - Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009

SP - 617

EP - 621

BT - Proceedings of the 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009

T2 - 2009 International Joint Conference on Computational Sciences and Optimization, CSO 2009

Y2 - 24 April 2009 through 26 April 2009

ER -

Simplification of numerical rational surfaces

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this