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Proceedings Paper

The Pinned Karhunen Loeve Transform Of A Two-Dimensional Gauss-Markov Field
Author(s): A. Zvi Meiri
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Paper Abstract

We define a Gauss-Markov field over E2 oy a stochastic partial differential equation with space invariant coefficients. This model may be used as an approximation to pictorial and other two-dimensional data. When we apply it to block coding it has some interesting properties. The solution of an associated homogenous boundary value problem with the field data as boundary conditions defines a "pinning" function. The KLT of the data minus its pinning function is shown to be identical to the Fourier Sine Transform. Some properties of this PKLT as well as its relation to Jain's Fast KLT are discussed.

Paper Details

Date Published: 13 December 1976
PDF: 11 pages
Proc. SPIE 0087, Advances in Image Transmission Techniques, (13 December 1976); doi: 10.1117/12.954991
Show Author Affiliations
A. Zvi Meiri, Bell Telephone Laboratories (United States)

Published in SPIE Proceedings Vol. 0087:
Advances in Image Transmission Techniques
Andrew G. Tescher, Editor(s)

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