Premium
Potential field based geometric modelling using the method of fundamental solutions
Author(s) -
Tankelevich Roman,
Fairweather Graeme,
Karageorghis Andreas,
Smyrlis YiorgosSokratis
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1763
Subject(s) - field (mathematics) , computer science , geometric modeling , harmonic , mathematics , algorithm , mathematical optimization , geometry , pure mathematics , physics , quantum mechanics
We propose a new geometric modelling method based on the so‐called potential field (PF) modelling technique. The harmonic problem associated with this technique is solved numerically using the method of fundamental solutions (MFS). We investigate the applicability of the proposed approach to parametrically defined curves of varying complexity. Based on the MFS, we also provide definitions of the Boolean operations associated with the geometric modelling. Finally, we give practical applications of the method to computer‐aided design and manufacturing problems. Copyright © 2006 John Wiley & Sons, Ltd.