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Chair for Computer Aided Medical Procedures & Augmented Reality
Lehrstuhl für Informatikanwendungen in der Medizin & Augmented Reality

F. Brunet, A. Bartoli, N. Navab, R. Malgouyres
NURBS Warps
British Machine Vision Conference (BMVC), London (UK), September 7-10, 2009 (bib)

Standard Free-Form Deformation (FFD) models built upon tensor-product B-Splines have been proved useful to model the warp between two views of a deformable scene. In this paper, we show that the standard FFD is in fact the affine projection of a threedimensional surface represented by a tensor-product B-Spline. We construct a new tensor-product warp relying on Non-Uniform Cubic B-Spline: the NURBS-Warp. We show that this new warp is an extension of the standard FFD that describes the perspective camera model. We propose algorithms that compute the parameters of a NURBS-Warp from point correspondences. Our NURBS-Warps are compared to standard FFD warps for both synthetic and real images. These experiments show that our NURBS-Warp gives better results than the other approaches, especially when the perspective effects are important.
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