Monotonicity preserving C1 rational cubic Ball interpolation

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Abstract

A curve interpolation scheme is developed using the rational cubic Ball representation. The scheme has parameters that can be used either to change the shape of the curve or to increase its smoothness. Conditions are derived for preserving monotonicity, while achieving C1 continuity. Some numerical results are presented. © 2014 AIP Publishing LLC.

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Hasan, Z. A., Piah, A. R. M., & Yahya, Z. R. (2014). Monotonicity preserving C1 rational cubic Ball interpolation. In AIP Conference Proceedings (Vol. 1605, pp. 34–39). American Institute of Physics Inc. https://doi.org/10.1063/1.4887561

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