@article {
	title = {Properties of the Multiscale Maxima and Zero-Crossings Representations},
	author = {Berman, Zeev., Baras, John S.},
	year = {1993},
	month = {12/1993},
	abstract = {The analysis of a discrete multiscale edge representation is considered. A general signal description called an inherently bounded adaptive quasi-linear representation (AQLR), motivated by two important examples, namely, the wavelet maxima representation, and the wavelet zero-crossings representation is introduced. This paper mainly addresses the questions of uniqueness and stability. It is shown that the dyadic wavelet maxima (zero-crossings) representations are, in general nonunique. Nevertheless, using the~idea of the inherently bounded AQLR, two stability results are proven. For a special case, where perturbations are limited to the continuous part of the representation, a Lipschitz condition is satisfied.},
	pages = {pp. 3212-3231},
	volume = {Vol. 41},
	number = {No. 12},
	journal = {Special issue \&ldquo;Wavelets and Signal Processing\&rdquo; of the IEEE Trans. on Signal Processing}
}
