@conference {
	title = {More About Wavelet Maxima Representations},
	author = {Berman, Zeev., Baras, John S.},
	year = {1993},
	month = {04/1993},
	abstract = {Results regarding reconstruction and modifications of multiscale (wavelet) maxima and zero-crossings representations are presented. The work is based on a general signal description, called an inherently bounded Adaptive Quasi Linear Representation (AQLR), motivated by two important examples: the wavelet zero-crossings representation. The convergence of two new reconstruction algorithms is guaranteed for all inherently bounded AQLR. As a consequence, we describe modifications in the basic multiscale maxima representation. The modifications allow to trade-off between the amount of required information and the reconstruction quality.},
	address = {Minneapolis, Minnesota},
	booktitle = {1993 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2011)},
	pages = {pp. 662-665},
	organization = {Minneapolis Convention Center}
}
@conference {
	title = {An Adaptive Quasi-Linear Representation-A Generalization of the Multiscale Edge Representation},
	author = {Berman, Zeev., Baras, John S.},
	year = {1992},
	month = {12/1992},
	abstract = {The analysis of the discrete multiscale edge representation is considered. A general signal description, called an inherently bounded Adaptive Quasi Linear Representation (AQLR), motivated by two important examples: the wavelet maxima representation and the wavelet zero crossings representation is introduced. This paper addresses the questions of uniqueness, stability, and reconstruction. It is shown, that the dyadic wavelet maxima (zero-crossings) representation is, in general, nonunique. Nevertheless, these representations are always stable. A reconstruction algorithm, based on the minimization of an appropriate cost function, is proposed. The convergence of the algorithm is guaranteed for all inherently bounded AQLR. In the case, of the wavelet transform, this method yields an efficient, parallel algorithm, especially promising in an analog-hardware implementation},
	address = {Tucson, Arizona},
	booktitle = { The 31st IEEE Conference on Decision and Control},
	pages = {pp. 3281-3286},
	organization = {Westin La Paloma}
}
@conference {
	title = {The Parametric Wavelet Maxima Representation},
	author = {Berman, Zeev., Baras, John S., Berenstein, Carlos A.},
	year = {1992},
	month = {10/1992},
	abstract = {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 presents a new reconstruction scheme based on the minimization of an appropriate cost function. The convergence of two described algorithms is guaranteed for all inherently bounded AQLR. As a consequence, we describe possible modifications in the basic multiscale maxima representations.},
	address = {Victoria, British Columbia, Canada},
	booktitle = {IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis},
	pages = {pp. 59-62}
}
@conference {
	title = {Uniqueness and Stability of Discrete Zero-Crossings and Maxima Wavelet Representations},
	author = {Berman, Zeev., Baras, John S.},
	year = {1992},
	month = {08/1992},
	abstract = {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. It is shown, that the dyadic wavelet maxima~(zero-crossings) representation is, in general, nonunique. Using the idea of the inherently bounded AQLR, a global BIBO stability is shown. For a special case, where perturbations are limited to the continuous part of the representation, a Lipschitz condition is satisfied.},
	address = {Brussels, Belgium},
	booktitle = {6th European Signal Processing Conference (EUSIPCO)},
	pages = {pp. 913-916}
}
@conference {
	title = {A Study on Discrete Multiscale Edge Representations},
	author = {Berman, Zeev., Baras, John S.},
	year = {1992},
	month = {03/1992},
	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 addresses the questions of uniqueness, stability, and reconstruction. It is shown, that the dyadic wavelet maxima (zero-crossings) representation is, in general, non unique. Nevertheless, these representations are always stable. Using the idea of the inherently bounded AQLR, two stability results are proven. For a general perturbation, a global BIBO stability is shown. For a special case, where perturbations are limited to the continuous part of the representation, a Lipschitz condition is satisfied. A reconstruction algorithm, based on the minimization of an appropriate cost function, is proposed.},
	address = {Princeton, New Jersey},
	booktitle = {Twenty-Sixth Annual Conference on Information Sciences and Systems},
	pages = {pp. 896-901},
	organization = {Princeton University}
}
@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}
}
