Compressed vibration modes of elastic bodies

Christopher Brandt, Klaus Hildebrandt

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)
17 Downloads (Pure)

Abstract

The natural vibration modes of deformable objects are a fundamental physical phenomenon. In this paper, we introduce compressed vibration modes, which, in contrast to the natural vibration modes, are localized (“sparse”) deformations. The localization is achieved by augmenting the objective which has the vibration modes as minima by a L1 term. As a result, the compressed modes form a compromise between localization and optimal energy efficiency of the deformations. We introduce a scheme for computing bases of compressed modes by solving sequences of convex optimization problems. Our experiments demonstrate that the resulting bases are well-suited for reduced-order shape deformation and for guiding the segmentation of objects into functional parts.
Original languageEnglish
Pages (from-to)297-312
Number of pages16
JournalComputer-Aided Geometric Design
Volume52-53
DOIs
Publication statusPublished - 2017

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