Vladimir Putin i München

4 Relative Convolutions . I ∗ . Properties and Applications Vladimir

To study operator algebras with symmetries in a wide sense we introduce a notion of relative convolution operators induced by a Lie algebra. Relative convolutions recover many important classes of operators, which have been already studied (operators of multiplication, usual group convolutions, two-sided convolution etc.) and their different combinations. Basic properties of relative convolutio...

Technische Universität München

Vladimir I . Arnold From superpositions to KAM theory

Foreword. V. I. Arnold (12 June 1937 – 3 June 2010) published several papers where he described, in the form of recollections, his two earliest research problems (superpositions of continuous functions and quasi-periodic motions in dynamical systems), the main results and their interrelations: [1], [2] (reprinted as [4]), and [3] (translated into English by the author as [5]). The first exposit...

Tum Technische Universität München

We present an algorithm to generate a one-sided approximation of a given triangular mesh. We refer to such an approximate mesh as a bounding mesh, which includes the original mesh and has fewer vertices. Likewise, an inner bounding mesh is defined as an approximate mesh that is included by a given mesh. Our proposed bounding mesh algorithm performs iterative edge contractions and can generate b...

Tum Technische Universität München

We propose a general class of label configuration priors for continuous multi-label optimization problems. In contrast to MRF-based approaches, the proposed framework unifies label configuration energies such as minimum description length priors, co-occurrence priors and hierarchical label cost priors. Moreover, it does not require any preprocessing in terms of super-pixel estimation. All probl...