Results 91 to 100 of about 258 (126)
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
exaly +3 more sources
Second-Generation Curvelets on the Sphere [PDF]
IEEE Transactions on Signal Processing, 2017 Curvelets are efficient to represent highly anisotropic signal content, such as a local linear and curvilinear structure. First-generation curvelets on the sphere, however, suffered from blocking artefacts. We present a new second-generation curvelet transform, where scale-discretised curvelets are constructed directly on the sphere.
Jennifer Y H Chan +2 more
exaly +4 more sources
Some of the next articles are maybe not open access.
Multiscale Curvelet Scattering Network
IEEE Transactions on Neural Networks and Learning Systems, 2023Feature representation has received more and more attention in image classification. Existing methods always directly extract features via convolutional neural networks (CNNs). Recent studies have shown the potential of CNNs when dealing with images' edges and textures, and some methods have been explored to further improve the representation process ...
Jie Gao 0013 +5 more
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Curvelet transform on the sphere
IEEE International Conference on Image Processing 2005, 2005Spherical maps occur in a range of applications for instance in geophysics or in astrophysics with the study of the cosmic microwave background (CMB) radiation field, where observations are over the whole sky. Analyzing these images requires specific tools.
Pierrick Abrial +3 more
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Seismic Imaging and Processing with Curvelets
69th EAGE Conference and Exhibition incorporating SPE EUROPEC 2007, 2007In this paper, we present a nonlinear curvelet-based sparsity-promoting formulation for three problems in seismic processing and imaging namely, seismic data regularization from data with large percentages of traces missing; seismic amplitude recovery for subsalt images obtained by reverse-time migration and primary-multiple separation, given an ...
Herrmann, Felix J. +2 more
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Curvelet transform with adaptive tiling
SPIE Proceedings, 2012The curvelet transform is a recently introduced non-adaptive multi-scale transform that have gained popularity in the image processing field. In this paper, we study the effect of customized tiling of frequency content in the curvelet transform. Specifically, we investigate the effect of the size of the coarsest level and its relationship to denoising ...
Hasan Al-Marzouqi, Ghassan AlRegib
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Searching for the optimal curvelet tiling
2013 IEEE International Conference on Acoustics, Speech and Signal Processing, 2013Curvelets were recently introduced as a popular extension of wavelets. In the curvelet domain the input image is represented by sets of coefficients representing signal energy in different scales and angular directions. In this paper an algorithm that searches for optimal tilings for use with the curvelet transform is introduced.
Hasan Al-Marzouqi, Ghassan Alregib
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The monogenic curvelet transform
2010 IEEE International Conference on Image Processing, 2010In this article, we reconsider the continuous curvelet transform from a signal processing point of view. We show that the analyzing elements of the curvelet transform, the curvelets, can be understood as analytic signals in the sense of the partial Hilbert transform.
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Curvelet Transform Based Watermarking for Telemedicine
Wireless Personal Communications, 2021Now a days telemedicine is a proactive research area and gaining more engrossment. Digital transmission of medical imaging, remote evaluation and diagnosis together are termed as Telemedcine and it has increasingly gained prominence in the recent times.
Eswaraiah Rayachoti +2 more
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Uniform Discrete Curvelet Transform
IEEE Transactions on Signal Processing, 2010An implementation of the discrete curvelet transform is proposed in this work. The transform is based on and has the same order of complexity as the Fast Fourier Transform (FFT). The discrete curvelet functions are defined by a parameterized family of smooth windowed functions that satisfies two conditions: i) 2π periodic; ii) their squares form a ...
Truong T. Nguyen, Hervé Chauris
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