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Rational B\'ezier Curves Approximated by...

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Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves by Shi, Mao ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	13-05-2016
Summary	In this paper, we propose a linear method for C(r,s) approximation of rational Bézier curve with arbitrary degree polynomial curve. Based on weighted least-squares, the problem be converted to an approximation between two polynomial curves. Then applying Bernstein-Jacobi hybrid polynomials, we obtain the resulting curve. In order to reduce error, degree reduction method for Bézier curve is used. A error bound between rational Bézier curve and Bézier curve is presented. Finally, some examples and figures were offered to demonstrate the efficiency, simplicity, and stability of our methods.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1605.04156

Citation

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AMA 11th EditionReferences

Shi, Mao. Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves. N.A. May 13, 2016. Accessed September 20, 2024. https://online.provdatabase.com/cite/22845

APA 7th EditionReferences

Shi, Mao. (2016). Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves. N.A. https://online.provdatabase.com/cite/22845

Chicago 17th EditionReferences

Shi, Mao. Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves. N.A. 2016. https://online.provdatabase.com/cite/22845

HarvardReferences

Shi, Mao. (2016). Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22845. (Accessed 20 September 2024).

Harvard AustraliaReferences

Shi, Mao, 2016, Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/22845>

MLA 9th EditionWorks Cited

Shi, Mao. Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves. N.A, 2016. PROV Database, https://online.provdatabase.com/cite/22845.

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