The Pinned Karhunen Loeve Transform Of A Two-Dimensional Gauss-Markov Field

A. Zvi Meiri

doi:10.1117/12.954991

13 December 1976 The Pinned Karhunen Loeve Transform Of A Two-Dimensional Gauss-Markov Field

A. Zvi Meiri

Proceedings Volume 0087, Advances in Image Transmission Techniques; (1976) https://doi.org/10.1117/12.954991
Event: 20th Annual Technical Symposium, 1976, San Diego, United States

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.

Citation Download Citation

A. Zvi Meiri "The Pinned Karhunen Loeve Transform Of A Two-Dimensional Gauss-Markov Field", Proc. SPIE 0087, Advances in Image Transmission Techniques, (13 December 1976); https://doi.org/10.1117/12.954991

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