<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Nonsmooth Convex Variational Approaches to Image Analysis"^^ . "Variational models constitute a foundation for the formulation and understanding of models in many areas of image processing and analysis. In this work, we consider a generic variational framework for convex relaxations of multiclass labeling problems, formulated on continuous domains. We propose several relaxations for length-based regularizers, with varying expressiveness and computational cost. In contrast to graph-based, combinatorial approaches, we rely on a geometric measure theory-based formulation, which avoids artifacts caused by an early discretization in theory as well as in practice. We investigate and compare numerical first-order approaches for solving the associated nonsmooth discretized problem, based on controlled smoothing and operator splitting. In order to obtain integral solutions, we propose a randomized rounding technique formulated in the spatially continuous setting, and prove that it allows to obtain solutions with an a priori optimality bound. Furthermore, we present a method for introducing more advanced prior shape knowledge into labeling problems, based on the sparse representation framework."^^ . "2011" . . . . . . . . "Jan"^^ . "Lellmann"^^ . "Jan Lellmann"^^ . . . . . . "Nonsmooth Convex Variational Approaches to Image Analysis (PDF)"^^ . . . "lellmann_thesis.pdf"^^ . . . "Nonsmooth Convex Variational Approaches to Image Analysis (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Nonsmooth Convex Variational Approaches to Image Analysis (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Nonsmooth Convex Variational Approaches to Image Analysis (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Nonsmooth Convex Variational Approaches to Image Analysis (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Nonsmooth Convex Variational Approaches to Image Analysis (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #12505 \n\nNonsmooth Convex Variational Approaches to Image Analysis\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .