Multiple Surfaces Reconstruction from 2D Sections Using an Increasing 2D Vector Flow

This paper presents a new approach to automatically construct multiple surfaces from set of 2D sections. A convex curve and centripetal normal force are employed to split each section to a set of shells. Each shell contains a single image region and defines an initial contour evolved by the geometric heat differential equation in the direction of a centripetal force toward the outer boundary of the image region. Then a reparameterization is performed to increase the flow and make each contour converging into concavities. Thus, the 2D sections are segmented to a set of contours, divided to subsets of similar contours. Each subset is used to construct the surface of a single 3D object linking corresponding vertices. To validate the theory a set of experiments is performed using synthetic and medical 2D sections. A discussion and comparison of the method with set of existing is given at the end of the paper.