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Bézier representation of epitrochoids and hypotrochoids. (English) Zbl 1038.68578

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.

MSC:

68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
68U07 Computer science aspects of computer-aided design
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