Advanced search
1 file | 1.24 MB

Efficient design of a low redundant discrete shearlet transform

Bart Goossens (UGent) , Jan Aelterman (UGent) , Hiep Luong (UGent) , Aleksandra Pizurica (UGent) and Wilfried Philips (UGent)
Author
Organization
Abstract
Recently, there has been a huge interest in multiresolution representations that also perform a multidirectional analysis. The Shearlet transform provides both a multiresolution analysis (such as the wavelet transform), and at the same time an optimally sparse image-independent representation for images containing edges. Existing discrete implementations of the Shearlet transform have mainly focused on specific applications, such as edge detection or denoising, and were not designed with a low redundancy in mind (the redundancy factor is typically larger than the number of orientation subbands in the finest scale). In this paper, we present a novel design of a Discrete Shearlet Transform, that can have a redundancy factor of 2.6, independent of the number of orientation subbands, and that has many interesting properties, such as shift-invariance and self-invertability. This transform can be used in a wide range of applications. Experiments are provided to show the improved characteristics of the transform.
Keywords
IMAGE REPRESENTATIONS, WAVELET TRANSFORM, CONTOURLET TRANSFORM

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 1.24 MB

Citation

Please use this url to cite or link to this publication:

Chicago
Goossens, Bart, Jan Aelterman, Hiep Luong, Aleksandra Pizurica, and Wilfried Philips. 2009. “Efficient Design of a Low Redundant Discrete Shearlet Transform.” In LNLA: 2009 INTERNATIONAL WORKSHOP ON LOCAL AND NON-LOCAL APPROXIMATION IN IMAGE PROCESSING, 112–124. New York, NY, USA: IEEE.
APA
Goossens, B., Aelterman, J., Luong, H., Pizurica, A., & Philips, W. (2009). Efficient design of a low redundant discrete shearlet transform. LNLA: 2009 INTERNATIONAL WORKSHOP ON LOCAL AND NON-LOCAL APPROXIMATION IN IMAGE PROCESSING (pp. 112–124). Presented at the International workshop on Local and Non-Local Approximation in Image Processing, New York, NY, USA: IEEE.
Vancouver
1.
Goossens B, Aelterman J, Luong H, Pizurica A, Philips W. Efficient design of a low redundant discrete shearlet transform. LNLA: 2009 INTERNATIONAL WORKSHOP ON LOCAL AND NON-LOCAL APPROXIMATION IN IMAGE PROCESSING. New York, NY, USA: IEEE; 2009. p. 112–24.
MLA
Goossens, Bart, Jan Aelterman, Hiep Luong, et al. “Efficient Design of a Low Redundant Discrete Shearlet Transform.” LNLA: 2009 INTERNATIONAL WORKSHOP ON LOCAL AND NON-LOCAL APPROXIMATION IN IMAGE PROCESSING. New York, NY, USA: IEEE, 2009. 112–124. Print.
@inproceedings{1002606,
  abstract     = {Recently, there has been a huge interest in multiresolution representations that also perform a multidirectional analysis. The Shearlet transform provides both a multiresolution analysis (such as the wavelet transform), and at the same time an optimally sparse image-independent representation for images containing edges. Existing discrete implementations of the Shearlet transform have mainly focused on specific applications, such as edge detection or denoising, and were not designed with a low redundancy in mind (the redundancy factor is typically larger than the number of orientation subbands in the finest scale). In this paper, we present a novel design of a Discrete Shearlet Transform, that can have a redundancy factor of 2.6, independent of the number of orientation subbands, and that has many interesting properties, such as shift-invariance and self-invertability. This transform can be used in a wide range of applications. Experiments are provided to show the improved characteristics of the transform.},
  author       = {Goossens, Bart and Aelterman, Jan and Luong, Hiep and Pizurica, Aleksandra and Philips, Wilfried},
  booktitle    = {LNLA: 2009 INTERNATIONAL WORKSHOP ON LOCAL AND NON-LOCAL APPROXIMATION IN IMAGE PROCESSING},
  isbn         = {9781424435142},
  keyword      = {IMAGE REPRESENTATIONS,WAVELET TRANSFORM,CONTOURLET TRANSFORM},
  language     = {eng},
  location     = {Tuusula, Finland},
  pages        = {112--124},
  publisher    = {IEEE},
  title        = {Efficient design of a low redundant discrete shearlet transform},
  url          = {http://dx.doi.org/10.1109/LNLA.2009.5278394},
  year         = {2009},
}

Altmetric
View in Altmetric
Web of Science
Times cited: