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

Splines: A Perfect Fit for Signal and Image Processing

M. Unser

IEEE-SPS best paper award, 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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AUTHOR="Unser, M.",
TITLE="Splines: {A} Perfect Fit for Signal and Image Processing",
JOURNAL="{IEEE} Signal Processing Magazine",
YEAR="1999",
volume="16",
number="6",
pages="22--38",
month="November",
note="{IEEE-SPS} best paper award")

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