This article presents a novel image interpolation based on rational fractal fimction. The rational function has a simple and explicit expression. At the same time, the fi'actal interpolation surface can be defined by...This article presents a novel image interpolation based on rational fractal fimction. The rational function has a simple and explicit expression. At the same time, the fi'actal interpolation surface can be defined by proper parameters. In this paper, we used the method of 'covering blanket' combined with multi-scale analysis; the threshold is selected based on the multi-scale analysis. Selecting different parameters in the rational function model, the texture regions and smooth regions are interpolated by rational fractal interpolation and rational interpolation respectively. Experimental results on benchmark test images demonstrate that the proposed method achieves very competitive performance compared with the state-of-the-art interpolation algorithms, especially in image details and texture features.展开更多
基金Supported by National Natural Science Foundation of China(Nos.6137308061402261+3 种基金61303088U1201258)Promotive Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province(Nos.BS2013DX039BS2013DX048)
文摘This article presents a novel image interpolation based on rational fractal fimction. The rational function has a simple and explicit expression. At the same time, the fi'actal interpolation surface can be defined by proper parameters. In this paper, we used the method of 'covering blanket' combined with multi-scale analysis; the threshold is selected based on the multi-scale analysis. Selecting different parameters in the rational function model, the texture regions and smooth regions are interpolated by rational fractal interpolation and rational interpolation respectively. Experimental results on benchmark test images demonstrate that the proposed method achieves very competitive performance compared with the state-of-the-art interpolation algorithms, especially in image details and texture features.