Splines and Wavelets for Medical Imaging

M. Unser

Proceedings of the Fourth IEEE EMBS Berder International Summer School on Biomedical Imaging, June 17-24, 2000, Île de Berder, French Republic.

This chapter is meant as an introduction to the four papers on splines and wavelets that are reprinted here [1, 2, 3, 4]. We give a general overview the subject, highlighting some of the main uses of splines (and wavelets) in biomedical imaging. We also comment on the appropriateness of these techniques in this particular context.

Reprinted Papers

1. M. Unser, A. Aldroubi, M. Eden, "B-Spline Signal Processing: Part I—Theory," IEEE Transactions on Signal Processing, vol. 41, no. 2, pp. 821-833, February 1993.

2. M. Unser, A. Aldroubi, M. Eden, "B-Spline Signal Processing: Part II—Efficient Design and Applications," IEEE Transactions on Signal Processing, vol. 41, no. 2, pp. 834-848, February 1993.

3. P. Thévenaz, U.E. Ruttimann, M. Unser, "A Pyramid Approach to Subpixel Registration Based on Intensity," IEEE Transactions on Image Processing, vol. 7, no. 1, pp. 27-41, January 1998.

4. M. Unser, A. Aldroubi, "A Review of Wavelets in Biomedical Applications," Proceedings of the IEEE, vol. 84, no. 4, pp. 626-638, April 1996.

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