Paper
27 September 2022 Quadratic generalized ball curve with three parameters
Dan-dan Zhang
Author Affiliations +
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.
© (2022) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Computer aided design

Analytical research

Shape analysis

Back to Top