Iterative process for G-multi degree reduction of Bézier curves |
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| Authors: | Abedallah Rababah Stephen Mann |
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| Institution: | a David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
b Jordan University of Science and Technology, Jordan |
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| Abstract: | In this paper, the issue of multi-degree reduction of Bézier curves with C1 and G2-continuity at the end points of the curve is considered. An iterative method, which is the first of this type, is derived. It is shown that this algorithm converges and can be applied iteratively to get the required accuracy. Some examples and figures are given to demonstrate the efficiency of this method. |
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| Keywords: | Bé zier curves Multi-degree reduction Iterative methods Geometric continuity G2-continuity |
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