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Constrained Space Deformation for Design Optimization

Sieger, Daniel and Stefan Menzel, Mario Botsch

23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014


23rd International Meshing Roundtable
London, UK
October 12-15,2014

Bielefeld University, Bielefeld, Germany
Honda Research Institute Europe GmbH, Offenbach/Main, Germany

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 o ers 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 triharmonic radial basis functions while providing the same high level of deformation quality. Finally, unlike existing space deformation approaches, our technique directly incorporates geometric constraintsósuch as preservation of critical feature lines, circular couplings, or planar construction partsóinto the deformation, thereby fostering the exploration of more favorable and producible shape variations during the design optimization process.

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