Disk ball curve with shape parameters: construction and its degree reduction

Bo Du; Gang Hu; Jingyu Zhong; Xinguang Yuan

doi:10.1117/12.2645626

30 August 2022 Disk ball curve with shape parameters: construction and its degree reduction

Bo Du, Gang Hu, Jingyu Zhong, Xinguang Yuan

Proceedings Volume 12309, International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2022); 123091Z (2022) https://doi.org/10.1117/12.2645626
Event: International Conference on Advanced Manufacturing Technology and Manufacturing System (ICAMTMS 2022), 2022, Shijiazhuang, China

Abstract

In this paper, a kind of disk curve is constructed and different approaches to degree reduction are discussed. Firstly, to enhance the flexibility of Ball curve, a generalized Ball curve with two shape parameters is defined based on the cubic λμ-Ball basic functions and recursive properties. Then, based on the disk arithmetic, the disk λμ-Ball curve is obtained and some properties are studied. Furthermore, the particle swarm optimization algorithm is used to accomplish the optimization model of degree reduction, which is established by measuring the distance between the two disk curves through L₂-norm. Results show that PSO algorithm is an effective tool for degree reduction with different shape parameters.

Citation Download Citation

Bo Du, Gang Hu, Jingyu Zhong, and Xinguang Yuan "Disk ball curve with shape parameters: construction and its degree reduction", Proc. SPIE 12309, International Conference on Advanced Manufacturing Technology and Manufacturing Systems (ICAMTMS 2022), 123091Z (30 August 2022); https://doi.org/10.1117/12.2645626

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