Tension spline with application on image resampling

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.