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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Friedlander, B. Francos, J.M. |
| Copyright Year | 1995 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA (Friedlander, B.) |
| Abstract | A fundamental problem in two-dimensional signal processing is the modeling and analysis of nonhomogeneous two-dimensional (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. Parametric models, when used in image processing, generally assume the observed image to be homogeneous, or piecewise homogeneous. We consider a parametric model which is nonhomogeneous, and attempts to perform global (or at least, less localized) image analysis. We study a model consisting of a sine (or cosine) of a polynomial function of the image coordinates. For practical reasons it is more convenient to work with a complex valued model in which the sinusoidal function is replaced by a complex exponential. In applications where the 2-D signal is real, it can be converted subject to some restrictive conditions, into complex form through the Hilbert transform. We consider 2-D signals which can be represented by a constant amplitude complex exponential whose phase is a polynomial function of the coordinates. |
| File Size | 121900 |
| File Format | |
| ISBN | 0780324536 |
| DOI | 10.1109/ISIT.1995.550351 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1995-09-17 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Polynomials Parametric statistics Signal processing Cameras Image edge detection Signal analysis Two dimensional displays Layout Image analysis Algorithm design and analysis |
| Content Type | Text |
| Resource Type | Article |
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