Abstract
The representation method of curves and surfaces is an essential tool in industrial design, while a ball curve with adjustable thickness has its advantages in representing freedom tubular objects. By combing the Said-Ball basic functions and the control balls, this paper constructs the ball Said-Ball (BSB, for short) curve and discusses the related geometrical properties and algorithms. Then, the G1 and G2 continuity conditions between two adjacent BSB curves are discussed. Furthermore, on the premise of G2 continuity, an extension method of the BSB curve with minimum energy is studied. For this method, the GaussNewton-NL2SOL algorithm is used to obtain the best scale parameters of the center curve. Meanwhile, the optimal parameters of the radius function are also determined by solving the extreme. Finally, the construction of the BSB rotation surface with different continuity is given. The provided modeling examples show that the BSB curve with thickness is more suitable and valuable in the design for the modeling of objects, on the premise of maintaining excellent geometric properties.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
