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Degree reduction of disk rational B\'ezi...

Shi, Mao...

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Degree reduction of disk rational B\'ezier curves by Shi, Mao ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	How to quickly and stably realize the degree reduction of the rational Bezier curve is an open problem in CAGD. Based on the weighted least squares method and weighted sum method of multi-objective optimization, this paper transforms the degree reduction problem of the rational B\'ezier curve into a convex optimization problem and then uses quadratic programming to solve it. Prove that the solution is the minimum. Numerical experiments show that the method is fast and stable.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1409.2455

Citation

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AMA 11th EditionReferences

Shi, Mao. Degree reduction of disk rational B\'ezier curves. Australian National University. August 04, 2023. Accessed August 12, 2025. https://online.provdatabase.com/cite/11072

APA 7th EditionReferences

Shi, Mao. (2023). Degree reduction of disk rational B\'ezier curves. Australian National University. https://online.provdatabase.com/cite/11072

Chicago 17th EditionReferences

Shi, Mao. Degree reduction of disk rational B\'ezier curves. Australian National University. 2023. https://online.provdatabase.com/cite/11072

HarvardReferences

Shi, Mao. (2023). Degree reduction of disk rational B\'ezier curves. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/11072. (Accessed 12 August 2025).

Harvard AustraliaReferences

Shi, Mao, 2023, Degree reduction of disk rational B\'ezier curves, Australian National University, viewed 12 August 2025, <https://online.provdatabase.com/cite/11072>

MLA 9th EditionWorks Cited

Shi, Mao. Degree reduction of disk rational B\'ezier curves. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/11072.

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