期刊名称:International Journal of Computer Information Systems and Industrial Management Applications
印刷版ISSN:2150-7988
电子版ISSN:2150-7988
出版年度:2009
卷号:1
页码:36-47
出版社:Machine Intelligence Research Labs (MIR Labs)
摘要:This paper deals with a classical optimizationproblem, fitting 3D data points by means of curve andsurface models used in Computer-Aided Geometric Design(CAGD). Our approach is based on the idea of combiningtraditional techniques, namely best approximationby least-squares, with Genetic Algorithms (GA) andParticle Swarm Optimization (PSO), both based on bioinspiredprocedures emerging from the artificial intelligenceworld. In this work, we focus on fitting pointsthrough free-form parametric curves and surfaces. Thisissue plays an important role in real problems such asconstruction of car bodies, ship hulls, airplane fuselage,and other free-form objects. A typical example comesfrom reverse engineering where free-form curves andsurfaces are extracted from clouds of data points. Theperformance of the proposed methods is analyzed by usingsome examples of B´ezier curves and surfaces.