Quadratic generalized ball curve with three parameters

Dan-dan Zhang

doi:10.1117/12.2648762

27 September 2022 Quadratic generalized ball curve with three parameters

Dan-dan Zhang

Proceedings Volume 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022); 123450Q (2022) https://doi.org/10.1117/12.2648762
Event: 2022 International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 2022, Qingdao, China

Abstract

The quartic generalized Ball basis functions of α, β, γ with three shape parameters are constructed, and the quartic αβγBall curve is defined.This curve can represent both the quartic Wang-Ball curve and the quartic Said-Ball curve. The properties of the quartic Ball curve and the geometrical meaning of the shape parameters are discussed, and the C¹, C², C³ continuity conditions between the two curves are analyzed, and an example of geometric modeling is given.

Citation Download Citation

Dan-dan Zhang "Quadratic generalized ball curve with three parameters", Proc. SPIE 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 123450Q (27 September 2022); https://doi.org/10.1117/12.2648762

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