Regularization of B-spline objects

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Regularization of B-spline objects
By a d-dimensional B-spline object (denoted as Od ), we mean a B-spline curve (d = 1), a B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object Od we mean a process of relocating the control points of Od 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 Od , d = 1, 2, 3 based on solving weak form L2 -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 method is very effective. Key words: Spline objects, Regularization, L2 -gradient flow, Finite element method. MR (2000) Classification: 65D17
Guoliang Xu, Chandrajit L. Bajaj
Added 12 May 2011
Updated 12 May 2011
Type Journal
Year 2011
Where CAGD
Authors Guoliang Xu, Chandrajit L. Bajaj
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