A New Digital Implementation of Ridgelet Transform for Images of Dyadic Length

Xia Jun-jun; Ni Lin; Y MIAO

doi:10.3724/SP.J.1146.2005.00826

Volume 29 Issue 2

Jan. 2011

Turn off MathJax

Article Contents

Article Navigation > Journal of Electronics & Information Technology > 2007 > 29(2): 421-424

Xia Jun-jun, Ni Lin, Y MIAO. A New Digital Implementation of Ridgelet Transform for Images of Dyadic Length[J]. Journal of Electronics & Information Technology, 2007, 29(2): 421-424. doi: 10.3724/SP.J.1146.2005.00826

Citation:

Xia Jun-jun, Ni Lin, Y MIAO. A New Digital Implementation of Ridgelet Transform for Images of Dyadic Length[J]. Journal of Electronics & Information Technology, 2007, 29(2): 421-424. doi: 10.3724/SP.J.1146.2005.00826

Citation:

PDF( 513 KB)

A New Digital Implementation of Ridgelet Transform for Images of Dyadic Length

doi: 10.3724/SP.J.1146.2005.00826

Xia Jun-jun^①;倪林,
Ni Lin,
Y MIAO

Received Date: 2005-07-11
Rev Recd Date: 2005-12-12
Publish Date: 2007-02-19

Abstract

Abstract

The ridgelet transform is a new directional multi-resolution transform，which is more suitable for describing signals with high dimensional singularities. Finite ridgelet transform is a discrete version of ridgelet transform, which is as numerically precise as the continuous ridgelet transform and has low computational complexity. However, finite ridgelet transform is only suitable for images of prime-pixels length, which is a limitation of its application in image processing. In this paper, an improved finite ridgelet algorithm which is suitable for images of dyadic length is proposed. This method not only expands the application of finite ridgelet, but also simplifies the algorithm.

FullText(HTML)

References(1)

References

[1] Starck J C, Candes E J, and Donoho D L. The curvelet transform for image denoising[J].IEEE Trans. on Image Processing.2002, 11(6):670-684 [2] Candes E J and Donoho D L. Ridgelets: A key to higher dimensional intermittency? Philos Trans. Royal Society of London, 1999, A 357: 2495-2509. [3] Donoho D L and Duncan M R. Digital curvelet transform: Strategy, implementation and experiments, Proc. SPIE, Aerosense 2000, Wavelet Applications VII, 2000: 12-29. [4] Do M N and Vetterli M. The finite ridgelet transform for image representation[J].IEEE Trans. on Image Processing.2003, 12(1):16-28 [5] Matus F and Flusser J. Image representation via a finite Radon transform[J].IEEE Trans. on Pattern Analysis and Machine Intelligence.1993, 15(10):996-1006 [6] Hsung T C, Lun D P K, and Siu W C. The discrete periodic Radon transform[J].IEEE Trans. on Signal Processing.1996, 44(10):2651-2657

Relative Articles

Supplements(0)

Cited By

Proportional views