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Compactly Supported Curvelet-Type Systems [PDF]
Journal of Function Spaces and Applications, 2012 We study a flexible method for constructing curvelet-type frames. These curvelet-type systems have the same sparse representation properties as curvelets for appropriate classes of smooth functions, and the flexibility of the method allows us to give a ...
Kenneth N. Rasmussen, Morten Nielsen
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Normalized group activations based feature extraction technique using heterogeneous data for Alzheimer’s disease classification [PDF]
PeerJ Computer ScienceSeveral deep learning networks are developed to identify the complex atrophic patterns of Alzheimer's disease (AD). Among various activation functions used in deep neural networks, the rectifier linear unit is the most used one.
Krishnakumar Vaithianathan +5 more
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Cartoon Approximation with $$\alpha $$ α -Curvelets [PDF]
Journal of Fourier Analysis and Applications, 2015 It is well-known that curvelets provide optimal approximations for so-called cartoon images which are defined as piecewise $C^2$-functions, separated by a $C^2$ singularity curve. In this paper, we consider the more general case of piecewise $C^\beta$-functions, separated by a $C^\beta$ singularity curve for $\beta \in (1,2]$.
Philipp Grohs +2 more
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Curvelets and Curvilinear Integrals
Journal of Approximation Theory, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Candès, Emmanuel J., Donoho, David L.
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Curvelets and Fourier Integral Operators
Comptes Rendus Mathematique, 2003 A recent body of work introduced new tight-frames of curvelets E. Candès, D. Donoho, in: (i) Curvelets – a suprisingly effective nonadaptive representation for objects with edges (A. Cohen, C. Rabut, L. Schumaker (Eds.)), Vanderbilt University Press, Nashville, 2000, pp.
Emmanuel Candes
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CURVELET BASED U-NET FRAMEWORK FOR BUILDING FOOTPRINT IDENTIFICATION [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023 This paper proposes a multiresolution based U-net composite architecture for segmentation of remotely sensed images for building footprint identification.
R. A. Ansari, W. Thomas
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Central and Periodic Multi-Scale Discrete Radon Transforms
Applied Sciences, 2021 The multi-scale discrete Radon transform (DRT) calculates, with linearithmic complexity, the summation of pixels, through a set of discrete lines, covering all possible slopes and intercepts in an image, exclusively with integer arithmetic operations. An
Óscar Gómez-Cárdenes +3 more
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Applied and Computational Harmonic Analysis, 2005 Candès, Emmanuel J., Donoho, David L.
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Noise Filtering of Remotely Sensed Images using Iterative Thresholding of Wavelet and Curvelet Transforms [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2014 This article presents techniques for noise filtering of remotely sensed images based on Multi-resolution Analysis (MRA). Multiresolution techniques provide a coarse-to-fine and scale-invariant decomposition of images for image interpretation.
R. A. Ansari, B. K. Mohan
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Migration preconditioning with Curvelets [PDF]
SEG Technical Program Expanded Abstracts 2004, 2004 In this paper, the property of Curvelet transforms for preconditioning the migration and normal operators is investigated. These operators belong to the class of Fourier integral operators and pseudo-differential operators, respectively. The effect of this preconditioner is shown in term of improvement of sparsity, convergence rate, number of iteration
Moghaddam, Peyman P., Herrmann, Felix J.
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