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Convex multiresolution analysis
Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 1998A standard wavelet multiresolution analysis can be defined via a sequence of projection operators onto a monotone sequence of closed vector subspaces possessing suitable invariance properties. We propose an extension of this framework in which the linear projection operators are replaced by nonlinear retractions onto convex sets.
Patrick L. Combettes +1 more
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A convex analysis approach for convex multiplicative programming
Journal of Global Optimization, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rúbia M. Oliveira, Paulo A. V. Ferreira
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Computer Graphics and Image Processing, 1972
The analysis of shape is not well understood. To further our understanding it seemsreasonable to concentrate on one aspect of the problem. This paper deals with the analysis of convex blobs. The aim of the analysis is to extract fragments of a blob which are perceptually meaningful. This is done by attributing to each point a set of neigh boring points
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The analysis of shape is not well understood. To further our understanding it seemsreasonable to concentrate on one aspect of the problem. This paper deals with the analysis of convex blobs. The aim of the analysis is to extract fragments of a blob which are perceptually meaningful. This is done by attributing to each point a set of neigh boring points
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Abstract Convexity in Measure Theory and in Convex Analysis
Journal of Mathematical Sciences, 2003The paper under report is a survey on the so-called ``abstract convex analysis'' and on some applications to optimization problems. If \(\Omega\) is a set and \(H\) is a class of functions from \(\Omega\) into \(\mathbb{R}\), a function \(f: \Omega\to\mathbb{R}\cup \{+\infty\}\) is called \(H\)-convex if it is the supremum of a family of functions ...
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Convex Functionals on Convex Sets and Convex Analysis
1985Over the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong: (α) The subgradient ∂F (a generalization of the classical concept of derivative).
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Convex Analysis on the Hermitian Matrices
SIAM Journal on Optimization, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analysis of Matrix-Convex Functions
Cybernetics and Systems Analysis, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amirgalieva, S. N. +2 more
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