Monotonic Vector Forces and Green´s Theorem for Automatic Area Calculation

The disorders caused by a cerebral hemorrhage depend on its location, shape and area. The purpose of this paper is to develop a framework to automatically extract the above features for the goal of indexing and fast image retrieval. The method uses monotonic normal and tangent forces, defined on an active contour, guided by two forms of the geometric heat equation toward objects´ and voids´ boundaries, which are used by the Green´s theorem to automatically calculate their areas. To validate the theory experiments are performed with medical images. A discussion on the advantages/limitations and a comparison with existing methods is given at the end of the paper.