NURBS or not NURBS?

NURBS snakes

A new formulation of energy minimising splines, based on Non-Uniform Rational B-Spline (NURBS) curves, is presented. The existing snake models do not facilitate the local control of their shapes without increasing the number of control points. The introduction of NURBS renders more flexibility into the snake model due to the weighting parameters that are made to adapt according to the curvature...

NURBS Warps

Standard Free-Form Deformations (FFD) built upon tensor-product B-Splines have been proved useful to model the warp between two views of a deformable surface. In this paper, we show that the standard FFD is the affine projection of a threedimensional tensor-product B-Spline surface. We construct a new tensor-product warp relying on Non-Uniform Cubic B-Spline: the NURBS-Warp. We show that this n...

The Trimmed Nurbs Age

NURBS in DT-MRI

S. Pajevic, P. J. Basser MSCL/CIT, National Institutes of Health, Bethesda, MD, United States, NICHD/STBB, NIH, Bethesda, MD, United States Introduction: Diffusion Tensor MRI (DTI) measures a diffusion tensor of water in tissue, fr om which useful micr ostructural information can be obtained [1]. DTI provides information about the local diffusion field from which one can attempt to reconstruct...

NURBS-compatible subdivision surfaces

Two main technologies are available to design and represent freeform surfaces: NonUniform Rational B-Splines (NURBS) and subdivision surfaces. Both representations are built on uniform B-splines, but they extend this foundation in incompatible ways, and different industries have therefore established a preference for one representation over the other. NURBS are the dominant standard for Compute...