Regularization of B-spline objects Original Research Article

By a d-dimensional B-spline object (denoted as image), we mean a B-spline curve (image), a B-spline surface (image) or a B-spline volume (image). By regularization of a B-spline object image we mean the process of relocating the control points of image such that it approximates an isometric map of its definition domain in certain directions and is shape preserving. In this paper we develop an efficient regularization method for image, image, based on solving weak form image-gradient flows constructed from the minimization of certain regularizing energy functionals. These flows are integrated via the finite element method using B-spline basis functions. Our experimental results demonstrate that our new regularization methods are very effective.