In this paper we will apply the above theorem to specific examples coming from the various fields mentioned previously. The TV idea can be traced to shock capturing methods in CFD and was first used in image processing by Rudin, Osher and Fatemi. It can detect objects not necessarily defined by sharp edges, as well as objects undetectable in each channel of a vector- valued image or in the combined intensity. The contour can go through topo-logical changes, and the model is robust to noise. In the case of a linguistic query, the user can describe the type of images to be retrieved using words from a dictionary of object labels, attributes, and spatial relations.
Most current systems use only exemplar-based queries, which limits their applicability.
Also, traditional methods can- not handle linguistic queries with multiple attributes easily. This talk will discuss fuzzy similarity measures that can be used to rank the images in the database according to how well they match the given query. The possibility of proceeding this way to solve the problem is now known as the Rayleigh hypothesis. Validity of this hypothesis has important practical applications. On the other hand, Marsh indicated that if the series converges, it in fact rovides the correct solution of the scattering problem.