Adjusting the energy of Ball curves by modifying movable control balls

• Published in: Computational & applied mathematics Vol. 40; no. 3
• Main Authors: Cao, Huanxin, Zheng, Hongchan, Hu, Gang, Abbas, Muhammad
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.04.2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied physics; Ball curves; Computational mathematics; Computational Mathematics and Numerical Analysis; Energy; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Variable thickness; Ball curves; 65D10; continuity; 65D17; 68U07; Skeleton; Energy minimization; 68U05; Variational design; 65D07; 65D18

Ball curve plays a crucial role in modeling tubular shapes with variable thickness. In this paper, energy functionals for curve design are generalized to Ball curves and the variational design of Ball curves is investigated. Given a Ball curve with some of its control balls movable and having variab...