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The cubic trigonometric Bézier curve with two shape parameters

✍ Scribed by Xi-An Han; YiChen Ma; XiLi Huang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 635 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.03.015

No coin nor oath required. For personal study only.

✦ Synopsis

A cubic trigonometric Bézier curve analogous to the cubic Bézier curve, with two shape parameters, is presented in this work. The shape of the curve can be adjusted by altering the values of shape parameters while the control polygon is kept unchanged. With the shape parameters, the cubic trigonometric Bézier curves can be made close to the cubic Bézier curves or closer to the given control polygon than the cubic Bézier curves. The ellipses can be represented exactly using cubic trigonometric Bézier curves.

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