@inproceedings{62751dca76084e07a6848a3bd081e871,
title = "Morphological wavelets and the complexity of dyadic trees",
abstract = "In this paper we reveal a connection between the coefficients of the morphological wavelet transform and complexity measures of dyadic tree representations of level sets. This leads to better understanding of the edge preserving property that has been discovered in both areas. As an immediate application, we examine a depth-adaptive soft thresholding scheme on morphological wavelet coefficients in which the threshold decays geometrically as the resolution increases. A greater decay rate gives greater preference towards unbalanced trees and this can control edge enhancement in denoised signals.",
keywords = "Image edge analysis, Image enhancement, Morphological operations, Wavelet transforms",
author = "Xiang, {Zhen James} and Ramadge, {Peter J.}",
year = "2010",
doi = "10.1109/ICASSP.2010.5495757",
language = "English (US)",
isbn = "9781424442966",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4030--4033",
booktitle = "2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings",
address = "United States",
note = "2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 ; Conference date: 14-03-2010 Through 19-03-2010",
}