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In nonrigid image registration, B-splines are used extensively for interpolation and transformation. We propose efficient multi-dimensional algorithms for the B-spline interpolation and transformation functions and their derivatives. The algorithms are based on recursive formulations and implemented using template metaprogramming. Compared to reference implementations, we obtain an acceleration factor of 4 for interpolation and a factor of 18 for transformation. When used within a registration algorithm, total computation time reduces by a factor 1.5 to 3.5.
This presentation is part of Minisymposium “MS47 - Splines in Imaging (3 parts)”
organized by: Carolina Beccari (Dept. Mathematics, University of Bologna) , Virginie Uhlmann (EPFL, Lausanne) , Michael Unser (EPFL, Lausanne) .