Benjamin Berger

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In the present work, we extend the theoretical and numerical discussion of the well-known Laplace–Beltrami operator by equipping the underlying manifolds with additional structure provided by vector bundles. Focusing on the particular class of flat complex line bundles, we examine a whole family of Laplacians including the Laplace–Beltrami operator as a(More)
This publication is a contribution to basic research in image comparison using eigenvalue spectra as features. The differential-geometric approach of eigenvalue spectrum-based descriptors is naturally applicable to shape data, but so far little work has been done to transfer it to the setting of image data painted on a rectangle or general curved surface.(More)
The just war tradition usually revolves around two crucial points: the justness of a war, and the justness of the way that war is fought. These two points—jus ad bellum and jus in bello, respectively—define the debate over whether a war is moral. Much less has been said about what happens after a war. But the aftermath of war is crucial to the justice of(More)
Eigenvalue spectra of the Laplace-Beltrami operator have successfully been employed as fingerprints for shape and image comparison. Especially notable in this context is the work of Peinecke on Laplace spectrum fingerprinting for image data. Recently, new research on greyscale images by Berger et al. introduces the idea of attributing individual(More)
Designing soft robots is difficult, time-consuming, and non-intuitive. Instead of requiring humans to engineer robots, this research uses genetic algorithms to evolve designs for robots that move when vibrated. Generative encodings are used to represent designs and are modified during the evolutionary process. A generative encoding is a set of rules that(More)
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