Edge-Forming Methods for Image Zooming

Authors:
Youngjoon Cha;Seongjai Kim
Affiliations:
Department of Applied Mathematics, Sejong University, Seoul, South Korea 143-747;Department of Mathematics and Statistics, Mississippi State University, USA MS 39762-5921
Venue:
Journal of Mathematical Imaging and Vision
Year:
2006

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Abstract

The article is concerned with edge-forming methods to be applied as a post-process for image zooming. Image zooming via standard interpolation methods often produces the so-called checkerboard effect, in particular, when the magnification factor is large. In order to remove the artifact and to form reliable edges, a nonlinear semi-discrete model and its numerical algorithm are suggested along with anisotropic edge-forming numerical schemes. The algorithm is analyzed for stability and choices of parameters. For image zooming by integer factors, a few iterations of the algorithm can form clear and sharp edges for gray-scale images. Various examples are presented to show effectiveness and efficiency of the newly-suggested edge-forming strategy.