An Occlusion Model Generating Scale-Invariant Images
Ann B. Lee and David Mumford
We present a model for scale invariance of natural images
based on the ideas of images as collages of statistically independent
objects. The model takes occlusions into account, and produces images that
show translational invariance, and approximate scale invariance under
block averaging and median filtering. We compare the
statistics of the simulated images with data from natural scenes, and
find good agreement for short-range and middle-range statistics.
Furthermore, we discuss the implications of the model on a 3D
description of the world.