NURBS Warps

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.     «

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...     »