A tree of median pyramidal decompositions with an application to signal denoising

Authors:
V. Melnik;K. Egiazarian;I. Shmulevich;P. Kuosmanen
Affiliations:
Signal Process. Lab., Tampere Univ. of Technol., Finland;-;-;-
Venue:
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Year:
2000

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Markov Random Field Modeling in Median Pyramidal Transform Domain for Denoising Applications

Journal of Mathematical Imaging and Vision

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Abstract

We propose to generate a library of median pyramidal decompositions organized as a tree. It is shown that the best decomposition on this tree can be chosen using the techniques developed in wavelet theory. Based on the tree of decompositions, a denoising algorithm is introduced. Numerical simulations have shown that the proposed algorithm is more effective for signal denoising than the method based on the traditional median pyramidal transform.