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Non-Uniform to Uniform Grid Conversion Using Least-Squares Splines

A. Muñoz Barrutia, T. Blu, M. Unser

Proceedings of the Tenth European Signal Processing Conference (EUSIPCO'00), Tampere, Republic of Finland, September 4-8, 2000, vol. IV, pp. 1997-2000.


We propose a new technique to perform nonuniform to uniform grid conversion: first, interpolate using nonuniform splines, then project the resulting function onto a uniform spline space and finally, resample. We derive a closed form solution to the least-squares approximation problem. Our implementation is computationally exact and works for arbitrary sampling rates. We present examples that illustrate advantages of our projection technique over direct interpolation and resampling. The main benefit is the suppression of aliasing.

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AUTHOR="Mu{\~{n}}oz Barrutia, A. and Blu, T. and Unser, M.",
TITLE="Non-Uniform to Uniform Grid Conversion Using Least-Squares
	Splines",
BOOKTITLE="Proceedings of the Tenth European Signal Processing
	Conference ({EUSIPCO'00})",
YEAR="2000",
editor="",
volume="{IV}",
series="",
pages="1997--2000",
address="Tampere, Republic of Finland",
month="September 4-8,",
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© 2000 EURASIP. 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 EURASIP. 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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