Techniques for improvement of medical images

Topological Derivative's application in the field of image processing usually involves restoration and segmentation. This paper focussing on techniques of Topological derivative for solving domain related issues and condition for boundary in the domain, besides solving for shape sensitivity. This helps in detecting the changes caused in the diseased organs. Lagrange Multiplier helps us to solve for the maxima problem related to curvature/boundary as founded with the Topological method. This is a step forward because it addresses boundary problems directly by taking into account constraints involved in the problem. Level Set Method further solves the problem as it helps in implicit representation. Besides, it handles changes in topology easily during evolution of the surface. Many dimension problem is also solved with the help of velocity field and normal vector. Updating over a narrow region instead of the whole image is another advantage.