Regularity of Bézier Curves
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.
Q. X. Meng and H. L. Liu, "Regularity of Bézier Curves", Applied Mechanics and Materials, Vols. 48-49, pp. 877-880, 2011