Proceedings ArticleDOI
Contourlets: a new directional multiresolution image representation
Minh N. Do,Martin Vetterli +1 more
- Vol. 1, pp 497-501
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TLDR
In this paper, the contourlet transform is proposed to satisfy the anisotropy scaling relation for curves, and thus offers a fast and structured curvelet-like decomposition.Abstract:
We propose a new scheme, named contourlet, that provides a flexible multiresolution, local and directional image expansion. The contourlet transform is realized efficiently via a double iterated filter bank structure. Furthermore, it can be designed to satisfy the anisotropy scaling relation for curves, and thus offers a fast and structured curvelet-like decomposition. As a result, the contourlet transform provides a sparse representation for two-dimensional piecewise smooth signals resembling images. Finally, we show some numerical experiments demonstrating the potential of contourlets in several image processing tasks.read more
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TL;DR: A novel approach for the reconstruction of super-resolution (SR) synthetic aperture radar (SAR) images in the compressed sensing (CS) theory framework using a framework that combines CS with a multi-dictionary is presented.
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Wavelet-based signal de-noising via simple singularities approximation
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Wavelet Based Image Watermarking: Futuristic Concepts in Information Security
TL;DR: The state-of-art of the various wavelet based image watermarking techniques in spatial as well as in transform domain based on the robustness, imperceptibility, capacity and security are reviewed.
References
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Book
A wavelet tour of signal processing
TL;DR: An introduction to a Transient World and an Approximation Tour of Wavelet Packet and Local Cosine Bases.
Journal ArticleDOI
The Laplacian Pyramid as a Compact Image Code
Peter J. Burt,Edward H. Adelson +1 more
TL;DR: A technique for image encoding in which local operators of many scales but identical shape serve as the basis functions, which tends to enhance salient image features and is well suited for many image analysis tasks as well as for image compression.
Journal ArticleDOI
The curvelet transform for image denoising
TL;DR: In this paper, the authors describe approximate digital implementations of two new mathematical transforms, namely, the ridgelet transform and the curvelet transform, which offer exact reconstruction, stability against perturbations, ease of implementation, and low computational complexity.
Curvelets: A Surprisingly Effective Nonadaptive Representation for Objects with Edges
TL;DR: The basic issues of efficient m-term approximation, the construction of efficient adaptive representation, theConstruction of the curvelet frame, and a crude analysis of the performance of curvelet schemes are explained.
Journal ArticleDOI
A filter bank for the directional decomposition of images: theory and design
R.H. Bamberger,Mark J. T. Smith +1 more
TL;DR: A directionally oriented 2-D filter bank with the property that the individual channels may be critically sampled without loss of information is introduced and it is shown that these filter bank outputs may be maximally decimated to achieve a minimum sample representation in a way that permits the original signal to be exactly reconstructed.