BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

New Optimized Spline Functions for Interpolation on the Hexagonal Lattice

L. Condat, D. Van De Ville

Proceedings of the 2008 Fifteenth IEEE International Conference on Image Processing (ICIP'08), San Diego CA, USA, October 12-15, 2008, pp. 1256–1259.

We propose new discrete-to-continuous interpolation models for hexagonally sampled data, that generalize two families of splines developed in the literature for the hexagonal lattice, to say the hex-splines and three directional box-splines. This extension is inspired by the construction of MOMS functions in 1-D, that generalize and outperform classical 1-D B-splines [1]. Our new generators have optimal approximation theoretic performances, for exactly the same computation cost as their spline counterparts.

References

  1. T. Blu, P. Thévenaz, M. Unser, "MOMS: Maximal-Order Interpolation of Minimal Support," IEEE Transactions on Image Processing, vol. 10, no. 7, pp. 1069-1080, July 2001. 

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