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BIT Numerical Mathematics

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01-09-2014

A control point based curve with two exponential shape parameters

Authors: Miklós Hoffmann, Imre Juhász, Gyula Károlyi

Published in: BIT Numerical Mathematics | Issue 3/2014

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Abstract

A generalization of a recently developed trigonometric Bézier curve is presented in this paper. The set of original basis functions are generalized also for non-trigonometric functions, and essential properties, such as linear independence, nonnegativity and partition of unity are proved. The new curve—contrary to the original one—can be defined by arbitrary number of control points meanwhile it preserves the properties of the original curve.

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Title: A control point based curve with two exponential shape parameters
Authors: Miklós Hoffmann
Imre Juhász
Gyula Károlyi
Publication date: 01-09-2014
Publisher: Springer Netherlands
Published in: BIT Numerical Mathematics / Issue 3/2014
Print ISSN: 0006-3835
Electronic ISSN: 1572-9125
DOI: https://doi.org/10.1007/s10543-014-0468-2

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