Sánchez-Reyes, J. Bézier representation of epitrochoids and hypotrochoids. (English) Zbl 1038.68578 Comput.-Aided Des. 31, No. 12, 747-750 (1999). Summary: We developed a simple method to obtain the rational Bézier representation for segments of epitrochoids and hypotrochoids. This was achieved by adding two circular arcs expressed in Bernstein-like trigonometric basis functions, and considering the equivalence between this trigonometric form and the standard rational Bézier representation. Cited in 7 Documents MSC: 68U05 Computer graphics; computational geometry (digital and algorithmic aspects) 68U07 Computer science aspects of computer-aided design Keywords:Rational polynomials; Bézier curves; Epitrochoids; Hypotrochoids PDFBibTeX XMLCite \textit{J. Sánchez-Reyes}, Comput.-Aided Des. 31, No. 12, 747--750 (1999; Zbl 1038.68578) Full Text: DOI