Entropy Of Subset Research Articles

FUZZY IMAGE PROCESSING AND RECOGNITION: UNCERTAINTY HANDLING AND APPLICATIONS

Image processing and analysis in fuzzy set theoretic framework is addressed. Various uncertainties involved in these problems and the relevance of fuzzy set theory in handling them are explained. Different image ambiguity measures based on fuzzy entropy and fuzzy geometry of image subsets are mentioned. A discussion is made on the flexibility in choosing membership functions. Illustrations of commonly used fuzzy image processing operations such as enhancement, edge detection segmentation, skeleton extraction, feature extraction are then provided, along with their significance and characteristics. Their applications to some real life problems, e.g., motion frame analysis, remotely sensed image analysis, modeling face images are finally described. An extensive bibliography is also provided.

Entropy Preservation Under Markov Coding

Using the notion of topological entropy for non-compact sets we prove that for a C 1+α -map with a finite Markov partition the corresponding coding map preserves topological entropy of subsets. We also provide an example of a piecewise linear conformal repeller with a Markov coding decreasing topological entropy. These results are generalized to the notions of u-dimensions.