Works (25)

Updated: July 5th, 2023 15:58

2009 article

A Shearlet Approach to Edge Analysis and Detection

Yi, S., Labate, D., Easley, G. R., & Krim, H. (2009, March 24). IEEE Transactions on Image Processing, Vol. 18, pp. 929–941.

By: S. Yi n, D. Labate n, G. Easley* & H. Krim n

author keywords: Curvelets; edge detection; feature extraction; shearlets; singularities; wavelets
topics (OpenAlex): Image and Signal Denoising Methods; Advanced Image Fusion Techniques; Medical Image Segmentation Techniques
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)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 article

Edge analysis and identification using the continuous shearlet transform

Guo, K., Labate, D., & Lim, W.-Q. (2008, October 22). Applied and Computational Harmonic Analysis.

By: K. Guo*, D. Labate n & W. Lim*

author keywords: Analysis of singularities; Continuous wavelets; Curvelets; Directional wavelets; Edge detection; Shearlets; Wavelets
topics (OpenAlex): Mathematical Analysis and Transform Methods; Image and Signal Denoising Methods; Advanced Numerical Analysis Techniques
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)
Source: Web Of Science
Added: August 6, 2018

2008 article

Representation of Fourier Integral Operators Using Shearlets

Guo, K., & Labate, D. (2008, March 4). Journal of Fourier Analysis and Applications.

By: K. Guo* & D. Labate n

author keywords: curvelets; Fourier integral operators; pseudo differential operators; shearlets; sparsity; wavelets
topics (OpenAlex): Mathematical Analysis and Transform Methods; Image and Signal Denoising Methods; Seismic Imaging and Inversion Techniques
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 article

Resolution of the wavefront set using continuous shearlets

Kutyniok, G., & Labate, D. (2008, October 24). Transactions of the American Mathematical Society.

By: G. Kutyniok* & D. Labate n

topics (OpenAlex): Mathematical Analysis and Transform Methods; Advanced Numerical Analysis Techniques; Image and Signal Denoising Methods
Source: NC State University Libraries
Added: August 6, 2018

2008 article

Shearlet-Based Total Variation Diffusion for Denoising

Easley, G. R., Labate, D., & Colonna, F. (2008, December 18). IEEE Transactions on Image Processing.

By: G. Easley*, D. Labate n & F. Colonna*

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
topics (OpenAlex): Image and Signal Denoising Methods; Advanced Image Fusion Techniques; Medical Image Segmentation Techniques
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.

By: G. Kutyniok & D. Labate

Source: NC State University Libraries
Added: August 6, 2018

2007 article

Optimally Sparse Multidimensional Representation Using Shearlets

Guo, K., & Labate, D. (2007, January 1). SIAM Journal on Mathematical Analysis.

By: K. Guo & D. Labate*

author keywords: affine systems; curvelets; geometric image processing; shearlets; sparse representation; wavelets
topics (OpenAlex): Image and Signal Denoising Methods; Mathematical Analysis and Transform Methods; Seismic Imaging and Inversion Techniques
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 article

Sparse directional image representations using the discrete shearlet transform

Easley, G., Labate, D., & Lim, W.-Q. (2007, October 2). Applied and Computational Harmonic Analysis.

By: G. Easley*, D. Labate n & W. Lim*

author keywords: curvelets; denoising; image processing; shearlets; sparse representation; wavelets
topics (OpenAlex): Image and Signal Denoising Methods; Advanced Image Fusion Techniques; Medical Image Segmentation Techniques
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.

By: K. Guo & D. Labate

Source: NC State University Libraries
Added: August 6, 2018

2007 article

The Theory of Wavelets with Composite Dilations

Guo, K., Labate, D., Lim, W.-Q., Weiss, G., & Wilson, E. (2007, August 1). Birkhäuser Boston EBooks.

By: K. Guo*, D. Labate n, W. Lim, G. Weiss & E. Wilson

Ed(s):

topics (OpenAlex): Mathematical Analysis and Transform Methods; Image and Signal Denoising Methods; Seismic Imaging and Inversion Techniques
UN Sustainable Development Goals Color Wheel
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.

By: K. Guo & D. Labate

Source: NC State University Libraries
Added: August 6, 2018

2006 article

The theory of reproducing systems on locally compact abelian groups

Kutyniok, G., & Labate, D. (2006, January 1). Colloquium Mathematicum.

By: G. Kutyniok* & D. Labate n

topics (OpenAlex): Mathematical Analysis and Transform Methods; Algebraic and Geometric Analysis; Mathematical Dynamics and Fractals
Source: NC State University Libraries
Added: August 6, 2018

2005 article

Sparse multidimensional representation using shearlets

Labate, D., Lim, W.-Q., Kutyniok, G., & Weiss, G. (2005, August 18). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE.

By: D. Labate n, W. Lim, G. Kutyniok* & G. Weiss

Ed(s):

topics (OpenAlex): Advanced Image Fusion Techniques; Image and Signal Denoising Methods; Medical Image Segmentation Techniques
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 article

Wavelets with composite dilations and their MRA properties

Guo, K., Labate, D., Lim, W.-Q., Weiss, G., & Wilson, E. (2005, August 30). Applied and Computational Harmonic Analysis.

By: K. Guo*, D. Labate n, W. Lim*, G. Weiss* & E. Wilson*

author keywords: affine systems; frames; multiwavelets; wavelets
topics (OpenAlex): Image and Signal Denoising Methods; Advanced Image Fusion Techniques; Mathematical Analysis and Transform Methods
Source: Web Of Science
Added: August 6, 2018

2004 article

Connectivity in the set of Gabor frames

Labate, D., & Wilson, E. (2004, December 14). Applied and Computational Harmonic Analysis.

By: D. Labate n & E. Wilson*

author keywords: connectivity; frames; Gabor systems
topics (OpenAlex): Mathematical Analysis and Transform Methods; Advanced Numerical Analysis Techniques; Image and Signal Denoising Methods
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 Goals Color Wheel
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2004 article

Oversampling, quasi-affine frames, and wave packets

Hernández, E., Labate, D., Weiss, G., & Wilson, E. (2004, February 11). Applied and Computational Harmonic Analysis.

By: E. Hernández*, D. Labate*, G. Weiss* & E. Wilson*

topics (OpenAlex): Mathematical Analysis and Transform Methods; Digital Filter Design and Implementation; Seismic Imaging and Inversion Techniques
Source: NC State University Libraries
Added: August 6, 2018

2004 article

Wavelets with composite dilations

Guo, K., Labate, D., Lim, W.-Q., Weiss, G., & Wilson, E. (2004, August 3). Electronic Research Announcements of the American Mathematical Society.

By: K. Guo*, D. Labate n, W. Lim*, G. Weiss* & E. Wilson*

author keywords: affine systems; frames; multiresolution analysis (MRA); multiwavelets; wavelets
topics (OpenAlex): Image and Signal Denoising Methods; Mathematical Analysis and Transform Methods; Elasticity and Wave Propagation
Source: Web Of Science
Added: August 6, 2018

2003 article

Affine, Quasi-Affine and Co-Affine Wavelets

Gressman, P., Labate, D., Weiss, G., & Edward, N. W. (2003, January 1). Studies in Computational Mathematics.

By: P. Gressman*, D. Labate*, G. Weiss* & N. Edward*

Ed(s):

topics (OpenAlex): Mathematical Analysis and Transform Methods; Image and Signal Denoising Methods; Seismic Imaging and Inversion Techniques
Source: NC State University Libraries
Added: August 6, 2018

2002 article

A unified characterization of reproducing systems generated by a finite family

Labate, D. (2002, September 1). Journal of Geometric Analysis.

By: D. Labate*

topics (OpenAlex): Mathematical Analysis and Transform Methods; Advanced Numerical Analysis Techniques; Image and Signal Denoising Methods
Source: NC State University Libraries
Added: August 6, 2018

2002 article

A unified characterization of reproducing systems generated by a finite family, II

Hernández, E., Labate, D., & Weiss, G. (2002, December 1). Journal of Geometric Analysis.

By: E. Hernández*, D. Labate* & G. Weiss*

topics (OpenAlex): Mathematical Analysis and Transform Methods; Image and Signal Denoising Methods; Spectral Theory in Mathematical Physics
Source: NC State University Libraries
Added: August 6, 2018

2001 article

Pseudodifferential Operators on Modulation Spaces

Labate, D. (2001, October 1). Journal of Mathematical Analysis and Applications.

By: D. Labate*

topics (OpenAlex): Mathematical Analysis and Transform Methods; Advanced Harmonic Analysis Research; Holomorphic and Operator Theory
Source: Web Of Science
Added: August 6, 2018

2001 article

Time-Frequency Analysis of Pseudodifferential Operators

Labate, D. (2001, June 1). Monatshefte Für Mathematik.

By: D. Labate*

author keywords: Kohn-Niremberg correspondence; modulation spaces; pseudodifferential operators; time-frequency analysis; trace-class operators; twisted product; Weyl correspondence
topics (OpenAlex): Mathematical Analysis and Transform Methods; Spectral Theory in Mathematical Physics; Algebraic and Geometric Analysis
Source: Web Of Science
Added: August 6, 2018

1994 article

A Comparison of Fractal Dimension and Spectrum Coefficient Characterization of 1/fαNoise

Labate, D., Canavero, F., & Marchi, A. D. (1994, January 1). Metrologia.

By: D. Labate*, F. Canavero* & A. Marchi*

topics (OpenAlex): Advanced Computing and Algorithms
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.

By: B. Dilece, L. Isnardi, D. Labate & F. Canavero

Source: NC State University Libraries
Added: August 6, 2018

1994 article

Fractal approach to lightning radiation on a tortuous channel

Vecchi, G., Labate, D., & Canavero, F. (1994, July 1). Radio Science.

By: G. Vecchi, D. Labate* & F. Canavero

topics (OpenAlex): Lightning and Electromagnetic Phenomena; Computer Graphics and Visualization Techniques; Theoretical and Computational Physics
Source: Web Of Science
Added: August 6, 2018

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