“Non-linear shape optimization using local subspace projections”

  • ©Przemyslaw Musialski, Christian Hafner, Florian Rist, Michael Birsak, Michael Wimmer, and Leif Kobbelt

Conference:


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Title:

    Non-linear shape optimization using local subspace projections

Session/Category Title: COMPUTATIONAL DESIGN OF STRUCTURES, SHAPES, AND SOUND

Presenter(s)/Author(s):


Moderator(s):


Abstract:


    In this paper we present a novel method for non-linear shape optimization of 3d objects given by their surface representation. Our method takes advantage of the fact that various shape properties of interest give rise to underdetermined design spaces implying the existence of many good solutions. Our algorithm exploits this by performing iterative projections of the problem to local subspaces where it can be solved much more efficiently using standard numerical routines. We demonstrate how this approach can be utilized for various shape optimization tasks using different shape parameterizations. In particular, we show how to efficiently optimize natural frequencies, mass properties, as well as the structural yield strength of a solid body. Our method is flexible, easy to implement, and very fast.

References:


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