Implicit Description of Structure Shape Based on KS Function

Abstract:

A complex structure can be constructed by Boolean operations of geometric primitives such as cube, sphere, cylinder, and so on. However, Boolean operations cannot represent the structure in form of mathematical function. In this paper, we propose a new shape representation method that combines the Boolean operations with the KS function. Applications show that 2D and 3D engineering parts can be described by a single implicit KS function.

• Periodical: Applied Mechanics and Materials (Volume 482)
• Pages: 331-334
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.482.331
• Online since: December 2013
• Authors: Ying Zhou, Wei Hong Zhang, Ding Hua Zhang
• Keywords: Boolean Operation, Implicit Function, KS Function, Structure Shape Description

References

[1] V.L. Rvachev, in: Cybernetics and Computer Technology, in Russian, (1964).

[2] D.F. Yohan, in: Visualization and Computer Graphics, (2005).

[3] J.Q. Chen, in: Proceedings of the 2007 ACM symposium on Solid and physical modeling, (2007).

[4] L. Xia, in: Computer Methods in Applied Mechanics and Engineering, (2013).

[5] A. Ricci, in: The Computer Journal. Vol. 16, pp.157-160 (1973).

[6] G. Kreisselmeier, R. Steinhauser: In flight tests of a parameter insensitive controller, (1979).

[7] G.A. Wrenn, in: NASA Contractor report 4220, Contract NAS1-18000 (1989).

[8] J. Tie, in: Computer Science and Engineering, pp.385-387, (2009).

[9] C.G. Raspanti, in: Computers & Chemical Engineering, (2000).