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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)).

@ARTICLE(http://bigwww.epfl.ch/publications/unser9902.html,
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")

© 1999 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.
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