Title
The discrete shearlet transform: a new directional transform and compactly supported shearlet frames.
Abstract
It is now widely acknowledged that analyzing the intrinsic geometrical features of the underlying image is essential in many applications including image processing. In order to achieve this, several directional image representation schemes have been proposed. In this paper, we develop the discrete shearlet transform (DST) which provides efficient multiscale directional representation and show that the implementation of the transform is built in the discrete framework based on a multiresolution analysis (MRA). We assess the performance of the DST in image denoising and approximation applications. In image approximations, our approximation scheme using the DST outperforms the discrete wavelet transform (DWT) while the computational cost of our scheme is comparable to the DWT. Also, in image denoising, the DST compares favorably with other existing transforms in the literature.
Year
DOI
Venue
2010
10.1109/TIP.2010.2041410
IEEE Transactions on Image Processing
Keywords
Field
DocType
multiscale directional representation,discrete wavelet,multiresolution analysis,image processing,wavelets,intrinsic geometrical features,shearlets,discrete shearlet transform,directional image representation scheme,image resolution,image approximation,approximation application,discrete wavelet transform,new directional,image denoising,compactly supported shearlet frames,underlying image,directional transform,shearlet frame,image approximations,discrete shearlet,approximation scheme,discrete wavelet transforms,discrete framework,algorithms,image analysis,approximation error,geometry
Computer vision,Pattern recognition,Image processing,Multiresolution analysis,Shearlet,Artificial intelligence,Discrete wavelet transform,Image resolution,Approximation error,Mathematics,Wavelet,Computational complexity theory
Journal
Volume
Issue
ISSN
19
5
1941-0042
Citations 
PageRank 
References 
107
3.56
9
Authors
1
Search Limit
100107
Name
Order
Citations
PageRank
Wang-Q Lim11959.41