@article{3446cb784650413fbbceca4a02467f83,

title = "An estimation algorithm for 2-D polynomial phase signals",

abstract = "We consider nonhomogeneous 2-D signals that can be represented by a constant modulus polynomial-phase model. A novel 2-D phase differencing operator is introduced and used to develop a computationally efficient estimation algorithm for the parameters of this model. The operation of the algorithm is illustrated using an example.",

author = "Benjamin Friedlander and Francos, {Joseph M.}",

note = "Funding Information: A fundamental problem in 2-D signal processing and in many image processing applications is the modeling and analysis of nonhomogeneous 2-D signals. For example, in almost any image taken by a camera, perspective exists, and hence, the acquired 2-D signal is nonhomogeneous, even if the original scene was homogeneous. Conventional approaches to the problems of perspective and camera orientation estimation usually involve local analysis of the image by means of edge detection algorithms 161. Recently, a nonparametric method for estimating, and then canceling, the effects of perspective was suggested in [7], using the Chirplet transform. In this method, a 1-D cross section of the image is expanded onto a set of modulated and warped versions of one “mother-waveform” in order to later compute an unwarped representation of the original image. Parametric models, when used in image processing, generally assume the observed image to be homogeneous or piecewise homogeneous. In this correspondence, we consider a parametric model that is nonhomogeneous and attempts to perform global (or at least less localized) image analysis. More specifically, the proposed model is aimed at modeling images that result from continuous coordinate transformations of homogeneous images. Since 2-D continuous functions can be approximated by 2-D polynomials, we will study a MIP-90.17221, and in part by the Office of Naval Research under Contract NO00 14-9 1 -J- 1602 and Contract NO00 14-95-1 -091 2. B. Friedlander is with the Department of Electrical and Computer Engineering, University of California at Davis, Davis, CA 95616 USA. J. M. Francos is with the Department of Electrical and Computer Engineering, Ben-Gurion University, Beer-Sheva, Israel. Publisher Item Identifier S 1057-71 49(96)04175-9.",

year = "1996",

month = dec,

day = "1",

doi = "10.1109/83.503925",

language = "English",

volume = "5",

pages = "1084--1087",

journal = "IEEE Transactions on Image Processing",

issn = "1057-7149",

publisher = "Institute of Electrical and Electronics Engineers",

number = "6",

}