Abstract
Using ridgelet transform to do the feature extraction, and RBFNN to do the recognition and classification, a remote sensing image recognition method is put forward in this paper. We do mathematical implementation and experimental investigation of ridgelet transform to analyze its characteristic and show its performance. Since ridgelet transform outperforms wavelet transform in extracting the linear features of objects, the proposed method has higher efficiency than that of wavelets. The simulation in remote sensing image shows its feasibility..
This work was supported by the National Science Foundation under grant no. 60133010.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E.J. Cands, Ridgelets and Their Derivatives: Representation of Image with Edges, Department of Statistics, Stanford University 1999.
E.J. Cands, and D.L. Donoho, Ridgelets: the Key to Higher-dimensional Intermittency?, Phil.Trans. R.Soc. Lond. A. (1999). 357:2495.
E.J. Cands, Monoscale Ridgelets for the Representation of Images with Edges, Department of Statistics, Stanford University 1999.
D.L Donoho, Orthonormal Ridgelets and Linear Singularities, SIAMJ. Math. Anal, 2000, 31(5): 1062.
M.N. Do and M. Vetterli, The Finite Ridgelet Transform for Image Representation, Image Processing. IEEE Transactions on 12. (2003): 16–28.
T. Shan, L.C. Jiao and X.C. Feng, Ridgelets Frame, In: Aurlio, C.C, Mohamed, S.K. (Eds.): Proceedings of Image Analysis and Recognition. Lecture Notes in Computer Science, Vol. 3211. Springer-Verlag, Berlin Heidelberg New York (2004) 479–486.
E. Cands, Ridgelets: theory and applications, Ph.D. thesis, Department of Statistics, Stanford University, 1998.
S. Mallat, A Wavelet Tour of Signal Processing, Academic Press.1999.
B. Hou, F. Liu and L.C. Jiao, Linear detection based on ridgelet transform, China science, Vol.46 No.2, April. 2003: 73–105.
B.A. Olshausen and D.J. Field, Emergence of simple-cell receptive field properties by learning a sparse code for natural images, Nature, 381 607–609, 1996.
A. Averbuch, R.R. Coifman, D.L. Donoho, M. Israeli and J. Walden, Fast Slant Stack: A Notion of Radon Transform for Data in a Cartesian Grid which is Rapidly Computable, Algebraically Exact, Geometrically Faithful an Invertible, Department of Statistics, Stanford University (2001).
Y.N. Zhang, J.b. Hong, X.h. Wang and R.c Zhao, An efficient image target recognition method for remote sensing, Signal Processing, Vol.18. No.1 Feb.2002
Y.N. Zhang, J.b. Hong, Y. Liao and R.c Zhao, Remote sensing image recognition based on SVM, Journal of Northwestern Polytechnical University, Nov.2002. Vol.20 No.4.
L.C. Jiao, A Intelligence signal and image processing, Journal of xidian university, 2003.9, 144–150.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Birkhäuser Verlag Basel/Switzerland
About this paper
Cite this paper
Ren, Y., Wang, S., Yang, S., Jiao, L. (2006). Ridgelet Transform as a Feature Extraction Method in Remote Sensing Image Recognition. In: Qian, T., Vai, M.I., Xu, Y. (eds) Wavelet Analysis and Applications. Applied and Numerical Harmonic Analysis. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7778-6_38
Download citation
DOI: https://doi.org/10.1007/978-3-7643-7778-6_38
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7777-9
Online ISBN: 978-3-7643-7778-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)