Regularity of Bézier Curves

Qing Xian Meng; Hui Li Liu

doi:10.4028/www.scientific.net/AMM.48-49.877

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 48-49Regularity of Bézier Curves

Regularity of Bézier Curves

Abstract:

Regularity is one of important properties of curves in computer aided design. In this paper, we convert the problem of determining regularity of Bézier curves to that of detecting existence of zero points of polynomials. Based on the properties of algebraic equations and isolation theorem of roots, a simple and practical method is presented. Regularity of Bézier curves and number of singular points can be determined by easier computation.

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Periodical:

Applied Mechanics and Materials (Volumes 48-49)

Pages:

877-880

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.48-49.877

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Online since:

February 2011

Authors:

Qing Xian Meng, Hui Li Liu

Keywords:

Bezier Curve, Computer Aided Design (CAD), Equation, Regularity

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