Tension spline with application on image resampling

Tina Bosner; Bojan Crnković; Jerko Škifić

Vol. 19 No. 3 (2014)
Special Issue: Proceedings of the 8th Conference on Applied Mathematics and Scientific Computing, Šibenik, Croatia, 2013

8th Conference on Applied Mathematics and Scientific Computing

Tension spline with application on image resampling

Published 2014-10-21

Tina Bosner
Bojan Crnković
Jerko Škifić

Tina Bosner
Department of Applied Mathematics, Faculty of Science, University of Zagreb

Bojan Crnković
Department of Mathematics, University of Rijeka

Jerko Škifić
Department for Fluid Mechanics and Computational Engineering, Faculty of Engineering, University of Rijeka

Submission of an original manuscript to the Mathematical Communications will be taken to mean that it represents original work not previously published, that it is not being considered elsewhere for publication; and, if accepted for publication, it will be published in print and online form and it will not be published elsewhere in the same form, for commercial purposes, in any language, without the consent of the publisher. The journal takes the stance that the publication of scholarly research is meant to disseminate knowledge and, in a not-for-profit regime, benefits neither publisher nor author financially. It sees itself as having an obligation to its authors and to society to make content available online now that the technology allows for such a possibility.

Abstract

Digital raster images often need to be represented in higher and lower resolutions. Resampling of digital images is an essential part of image processing. Most efficient and sufficiently accurate image resampling techniques can produce spurious oscillations near sharp transitions of color. To improve that, we introduce the tension splines applied dimension by dimension. The presented tension spline procedure provides an elegant solution to the image resampling by constructing a smooth approximation with sharp non-oscillatory resolution of discontinuities. The numerical results on real digital images are given to show effectiveness of the proposed algorithm.

Keywords

image zooming, image resampling, tension spline, interpolation, histospline

PDF

Supplementary File(s)