Splines: A Perfect Fit for Signal and Image Processing

M. Unser

IEEE Signal Processing Magazine, vol. 16, no. 6, pp. 22-38, November 1999.

IEEE Signal Processing Society's 2000 Magazine Award

This paper attempts to fullfill three goals. The first one is to provide a tutorial on splines that is geared to a signal processing audience. The second one is to gather all their important properties, and to provide an overview of the mathematical and computational tools available; i.e., a road map for the practitioner with references to the appropriate literature. The third goal is to give a review of the primary applications of splines in signal and image processing; most of those are discussed in the final part of the paper. (Front cover).

Erratum

• p. 26, the in-place initialization of c^-(N − 1) has the wrong sign. It should read c^-(N − 1) = (z₁ ∕ (z₁² − 1)) (c⁺(N − 1) + z₁ c⁺(N − 2)) instead of c^-(N − 1) = (z₁ ∕ (1 − z₁²)) (c⁺(N − 1) + z₁ c⁺(N − 2)).

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