GPU Prefilter for Accurate Cubic B-Spline Interpolation

D. Ruijters, P. Thévenaz

The Computer Journal, vol. 55, no. 1, pp. 15-20, January 2012.

Achieving accurate interpolation is an important requirement for many signal-processing applications. While nearest-neighbor and linear interpolation methods are popular due to their native GPU support, they unfortunately result in severe undesirable artifacts. Better interpolation methods are known but lack a native GPU support. Yet, a particularly attractive one is prefiltered cubic-spline interpolation. The signal it reconstructs from discrete samples has a much higher fidelity to the original data than what is achievable with nearest-neighbor and linear interpolation. At the same time, its computational load is moderate, provided a sequence of two operations is applied: first, prefilter the samples, and only then reconstruct the signal with the help of a B-spline basis. It has already been established in the literature that the reconstruction step can be implemented efficiently on a GPU. This article focuses on an efficient GPU implementation of the prefilter, on how to apply it to multidimensional samples (e.g. RGB color images), and on its performance aspects.

@ARTICLE(http://bigwww.epfl.ch/publications/ruijters1201.html,
AUTHOR="Ruijters, D. and Th{\'{e}}venaz, P.",
TITLE="{GPU} Prefilter for Accurate Cubic {B}-Spline Interpolation",
JOURNAL="The Computer Journal",
YEAR="2012",
volume="55",
number="1",
pages="15--20",
month="January",
note="")

© 2012 Oxford University Press. 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 Oxford University Press.
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.