Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4952744 | Computer Aided Geometric Design | 2017 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Christopher Brandt, Klaus Hildebrandt,