Image representation by wavelet-type transforms based on the similarities group

Joseph Segman; Victor A. Segalescu; Yehoshua Y. Zeevi

doi:10.1117/12.131370

1 November 1992 Image representation by wavelet-type transforms based on the similarities group

Joseph Segman, Victor A. Segalescu, Yehoshua Y. Zeevi

Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131370
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

In this paper we discuss the wavelet approach to image representation according to the action of the similarities group, i.e., according to the action of radial scaling, angular rotation and shifting. We find sufficient conditions for a discrete set of such wavelet-type functions in order to constitute a frame of L₂(R²) images. Finally, an iterative algorithm to compute the desired representation coefficients is presented, and a lower bound on the rate of convergence of the algorithm is offered.

Citation Download Citation

Joseph Segman, Victor A. Segalescu, and Yehoshua Y. Zeevi "Image representation by wavelet-type transforms based on the similarities group", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131370

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