Imagine the following images are taken from a population of similar
images (in probabilistic terms, the sample space Omega). For instance,
image 3 (Mars surface) is one of many images taken during the recent
Pathfinder mission. Each image is viewed as a realization of a random
process. The question is:
Are these random processes stationary, ergodic, and/or isotropic?
Image 1: binary image (2 equiprobable levels 0 and 255), i.i.d pixels.
Image 2: binary image (2 equiprobable levels 0 and A), i.i.d pixels.
A is a binary random variable with 2 equiprobable values,
127 and 255.
Image 3: section of Mars surface
Image 4: fingerprint
Image 5: MRI brain image
Image 6: soccer crowd
Image 7: building
Image 8: a happy fellow
Image 9: diffuse radar target