Biomedical Imaging GroupSTI
English only   BIG > Publications > Hexagonal Interpolation

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

New Optimized Spline Functions for Interpolation on the Hexagonal Lattice

L. Condat, D. Van De Ville

Proceedings of the 2008 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.


  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.

AUTHOR="Condat, L. and Van De Ville, D.",
TITLE="New Optimized Spline Functions for Interpolation on the Hexagonal
BOOKTITLE="Proceedings of the 2008 {IEEE} International Conference on
        Image Processing ({ICIP'08})",
address="San Diego CA, USA",
month="October 12-15,",

© 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.