Works (25)
Updated: July 5th, 2023 15:58
2009 journal article
A Shearlet Approach to Edge Analysis and Detection
IEEE TRANSACTIONS ON IMAGE PROCESSING, 18(5), 929–941.
author keywords: Curvelets; edge detection; feature extraction; shearlets; singularities; wavelets
TL;DR:
This paper proposes a novel approach based on the shearlet transform: a multiscale directional transform with a greater ability to localize distributed discontinuities such as edges, which is useful to design simple and effective algorithms for the detection of corners and junctions.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Edge analysis and identification using the continuous shearlet transform
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 27(1), 24–46.
author keywords: Analysis of singularities; Continuous wavelets; Curvelets; Directional wavelets; Edge detection; Shearlets; Wavelets
TL;DR:
The continuous shearlet transform is considered, which is the mapping of the wavelet transform to identify the set of singularities of a function or distribution f.
(via Semantic Scholar)
open access via doi.org (publisher)
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Representation of Fourier integral operators using shearlets
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 14(3), 327–371.
author keywords: curvelets; Fourier integral operators; pseudo differential operators; shearlets; sparsity; wavelets
TL;DR:
The shearlets are shown to provide very efficient representations for a large class of Fourier Integral Operators, an affine-like system of well-localized waveforms at various scales, locations and orientations, which are particularly efficient in representing anisotropic functions.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Resolution of the wavefront set using continuous shearlets
Transactions of the American Mathematical Society, 361(5), 2719–2754.
Source: NC State University Libraries
Added: August 6, 2018
2008 journal article
Shearlet-Based Total Variation Diffusion for Denoising
IEEE TRANSACTIONS ON IMAGE PROCESSING, 18(2), 260–268.
author keywords: Curvelets; denoising; diffusion; regularization; shearlets; total variation
MeSH headings : Algorithms; Artifacts; Image Enhancement / methods; Image Interpretation, Computer-Assisted / methods; Reproducibility of Results; Sensitivity and Specificity
TL;DR:
It is shown that it is possible to obtain much better estimates from aShearlet representation by constraining the residual coefficients using a projected adaptive total variation scheme in the shearlet domain.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Construction of regular and irregular shearlet frames
Journal of Wavelet Theory and Applications, 1(1), 1–12.
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
Optimally sparse multidimensional representation using shearlets
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 39(1), 298–318.
author keywords: affine systems; curvelets; geometric image processing; shearlets; sparse representation; wavelets
TL;DR:
It is shown that shearlets, an affine-like system of functions recently introduced by the authors and their collaborators, are essentially optimal in representing 2-dimensional functions f which are C^2 except for discontinuities along $C^2$ curves.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Sparse directional image representations using the discrete shearlet transform
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 25(1), 25–46.
author keywords: curvelets; denoising; image processing; shearlets; sparse representation; wavelets
TL;DR:
The numerical experiments presented in this paper demonstrate that the discrete shearlet transform is very competitive in denoising applications both in terms of performance and computational efficiency.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Sparse shearlet representation of Fourier integral operators
Electronic Research Announcements in Mathematical Sciences, 14, 7–19.
Source: NC State University Libraries
Added: August 6, 2018
2007 chapter
The theory of wavelets with composite dilations
In Harmonic analysis and applications (pp. 231–249).
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018
2006 journal article
Some remarks on the unified characterization of reproducing systems
Collectanea Mathematica (Barcelona, Spain), 57(3), 295–307.
Source: NC State University Libraries
Added: August 6, 2018
2006 journal article
Theory of reproducing systems on locally compact Abelian groups
Colloquium Mathematicum, 106, 197–220.
Source: NC State University Libraries
Added: August 6, 2018
2005 conference paper
Sparse multidimensional representation using shearlets
In A. F. L. M. Papadakis & M. A. Unser (Eds.), Wavelets XI: 31 July-3 August, 2005, San Diego, California, USA (pp. 254–262).
Ed(s): A. M. Papadakis & M. Unser
TL;DR:
A new class of multidimensional representation systems, called shearlets, obtained by applying the actions of dilation, shear transformation and translation to a fixed function, and exhibit the geometric and mathematical properties, e.g., directionality, elongated shapes, scales, oscillations are described.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
Wavelets with composite dilations and their MRA properties
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 20(2), 202–236.
author keywords: affine systems; frames; multiwavelets; wavelets
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Connectivity in the set of Gabor frames
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 18(1), 123–136.
author keywords: connectivity; frames; Gabor systems
TL;DR:
It is shown exactly how to modify a Gabor frame or Parseval frame to obtain a new one with the same property, and this construction is a modification of a method used in [Glas. 38 (58) (2003) 75–98] to study the connectivity of affineParseval frames.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
11. Sustainable Cities and Communities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Oversampling, quasi-affine frames, and wave packets
Applied and Computational Harmonic Analysis, 16(2), 111–147.
Source: NC State University Libraries
Added: August 6, 2018
2004 journal article
Wavelets with composite dilations
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 10, 78–87.
author keywords: affine systems; frames; multiresolution analysis (MRA); multiwavelets; wavelets
Source: Web Of Science
Added: August 6, 2018
2003 chapter
Affine, quasi-affine and co-affine wavelets
In Beyond wavelets (pp. 215–224).
Source: NC State University Libraries
Added: August 6, 2018
2002 journal article
A unified characterization of reproducing systems generated by a finite family
Journal of Geometric Analysis, 12(3), 469–491.
Source: NC State University Libraries
Added: August 6, 2018
2002 journal article
A unified characterization of reproducing systems generated by a finite family. II
Journal of Geometric Analysis, 12(4), 615–622.
Source: NC State University Libraries
Added: August 6, 2018
2001 journal article
Pseudodifferential operators on modulation spaces
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 262(1), 242–255.
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Time-frequency analysis of pseudodifferential operators
MONATSHEFTE FUR MATHEMATIK, 133(2), 143–156.
author keywords: Kohn-Niremberg correspondence; modulation spaces; pseudodifferential operators; time-frequency analysis; trace-class operators; twisted product; Weyl correspondence
Source: Web Of Science
Added: August 6, 2018
1994 personal communication
A COMPARISON OF FRACTAL DIMENSION AND SPECTRUM COEFFICIENT CHARACTERIZATION OF 1/F-ALPHA NOISE
LABATE, D., CANAVERO, F., & DEMARCHI, A. (1994, April).
Source: Web Of Science
Added: August 6, 2018
1994 conference paper
Exact SPICE model of field coupling to multiconductor transmission lines
1994 International Symposium on Electromagnetic Compatibility, Hotel Sendai Plaza, Sendai, Japan, May 16-20, 1994, 12–15. Tokyo: Institute of Electronics, Information and Communication Engineers; Institute of Electrical Engineers of Japan.
Source: NC State University Libraries
Added: August 6, 2018
1994 journal article
FRACTAL APPROACH TO LIGHTNING RADIATION ON A TORTUOUS CHANNEL
RADIO SCIENCE, 29(4), 691–704.
Source: Web Of Science
Added: August 6, 2018
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