QUESTION

(a) Median filters do not cater for a dynamic range of pixels in a given area, S. Thus to ensure that no loss of image details occur in S, adaptive median filters could be used. Propose a 2-level algorithm for such a filter.

(b) In Image Restoration, Degradation functions are normally Estimated functions. Show how to represent such a function as a Mathematical Model, assuming that the affected image produced was from an unexpected movement of the camera.
Prove also that it can be represented in the Frequency Domain as the given expression,

                              G(u,v) = H(u,v) * F(u,v)

(c) Show in a diagram:

1. The relationships between scaling and wavelet function spaces.

2. A lossy predictive coding model for an encoder in Image Compression paradigm.