Consider an i.i.d. sample from unknown density function supported on manifold embedded in a high dimensional Euclidean space. We tackle the problem of learning distance between points, able to capture both geometry and underlying density. define such prove convergence, as size goes infinity, macroscopic one that we call Fermat it minimizes path functional, resembling principle optics. The proof...

in this paper a novel fuzzy scheme for medical x-ray image classification is presented. in this method, any image is partitioned in to 25 overlapping subimages and then shape-texture features are extracted from shape and directional information extracted from any subimage. in the classification stage, we apply a fuzzy membership to any subimage with respect to euclidean distance between feature...