Image zooming algorithm based on partial differential equations technique
Ran Gao 1, Jin-Ping Song 1, Xue-Cheng Tai 21 Institute of Mathematics and College of Mathematics and Information Science, Henan University, Kaifeng 475004, China.
2 Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore; and Department of Mathematics, University of Bergen, N-5008, Bergen, Norway.
Received by the editors March 23, 2008 and, in revised form, June 17, 2008.
Partial Differential Equations (PDEs) have become an important tool in image processing and analysis. A PDE mode for image zooming is introduced in this paper. This model exploits a higher order nonlinear partial differential equation. The resulted nonlinear equation is solved by an explicit finite difference schemes. Numerical results on real digital images are given to show effectiveness and reliability of the proposed algorithm.
AMS subject classifications: 35R35, 49J40, 60G40
Key words: Image zooming, interpolation, partial differential equations (PDEs).
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