Reconstruction of Branched Surfaces: Experiments with Disjoint B-spline Surface

Abstract

Reconstruction of branched surfaces is an important class of reconstructing problems with wide applications in modeling of branched structures in fields like biomedical and automotive. For multiple branching, the sections are normally segmented, reconstructed and then combined together, and thus involve serial processes that are computationally expensive. Moreover, maintaining continuity between such reconstructed patches while preserving the topological features is also difficult. The present work reconstructs the disjoint surface with the help of a single equation from sectional data. At the same time it addresses the requirements of continuity, geometric and topological complexities. Behaviour of surface contours by varying control points is studied and then by electing an appropriate arrangement of control points and manipulating the control polyhedron a continuous surface is generated. The systematic development of the method is discussed with the help of experiments with excellent results for bifurcations and multiple-bifurcations.