Application of periodically correlated spatial processes and spatial periodogram in image processing

Spatial processes are widely used in data analysis, including the usage of these processes in image processing. In image processing, one of the most important challenges is examining periodic images. To investigate such images, we can use periodically correlated spatial processes. For this, it is necessary to be able to determine whether the images are periodic or not, and if they are, what is their period. In this work, first of all we introduce and express the properties of periodically correlated spatial processes and then we introduce spatial periodogram as a device for determining period of periodically correlated spatial processes and finally we make it clear how to use it to recognize the periodicity of images.

Keywords:

Periodically Correlated Process , Spatial Process , Spectral Density , spatial periodogram , image processing