Constrained space deformation techniques for design optimization. (March 2016)

• Record Type: Journal Article
• Authors: Sieger, Daniel; Gaulik, Sergius; Achenbach, Jascha; Menzel, Stefan; Botsch, Mario
• Is Part Of: Computer aided design. Volume 72(2016)
• Page Start: 40
• Page End: 51
• Publication Date: 2016-03
• Subjects: Mesh deformation -- Geometric constraints -- Moving least squares -- Design optimization; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2015.07.004
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: We present a novel shape deformation method for its use in design optimization tasks. Our space deformation technique based on moving least squares approximation improves upon existing approaches in crucial aspects: It offers the same level of modeling flexibility as surface-based deformations, but it is independent of the underlying geometry representation and therefore highly robust against defects in the input data. It overcomes the scalability limitations of existing space deformation techniques based on globally supported radial basis functions while providing the same high level of deformation quality. Finally, unlike existing space deformation approaches, our technique directly incorporates geometric constraints–such as preservation of critical feature lines, circular couplings, planar or cylindrical construction parts–into the deformation, thereby fostering the exploration of more favorable and producible shape variations during the design optimization process. Highlights: High quality space deformation for design optimization based on MLS approximation. High level of modeling flexibility through explicit energy minimization. Maintenance of geometric constraints during deformation.