Extension of Cubic Trigonometric Polynomial Bézier Curve
Abstract: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. In the same time, joining two cubic Bézier curves is presented.
Document Type: Research Article
Publication date: December 1, 2011
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