  Dynamic NURBS, also called D-NURBS, is a known dynamic version of the
nonuniform rational B-spline (NURBS) which integrates free-form shape
representation and a physically-based model in a unified framework. More
recently, computer aided design (CAD) and finite element (FEM) community
realized the need to unify CAD and FEM descriptions which motivates a review of
D-NURBS concepts. Therefore, in this paper we describe D-NURBS theory in the
context of 1D shape deformations. We start with a revision of NURBS for
parametric representation of curve spaces. Then, the Lagrangian mechanics is
introduced in order to complete the theoretical background. Next, the D-NURBS
framework for 1D curve spaces is presented as well as some details about
constraints and numerical implementations. In the experimental results, we
focus on parameters choice and computational cost.
