Here is a uniform image:
Here is a foveation of the image at the leftmost face:
It is possible to foveate in a more general
sense. Below is the image foveated at two gaze points.
Incidentally, this occurs in nature (eagles have two fovea
in each eye).
We are interested in the mathematical formulation of foveation. Our paper at the 1997 ACM Symposium on Computational Geometry describes the algorithms and implementation. The mathematical theory of foveation is investigated in our paper Wavelet Foveation and in Ee-Chien's thesis.
We wrote a little java demo to illustrate the kind of bandwidth reduction that can be obtained by foveation. Note: the demo may be slow in part because the reconstruction is done by an applet.