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Analysis of Multi-Scale Fractal Dimension for Image Interpolation

Analysis of Multi-Scale Fractal Dimension for Image Interpolation
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摘要 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. 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.
出处 《Computer Aided Drafting,Design and Manufacturing》 2015年第3期23-30,共8页 计算机辅助绘图设计与制造(英文版)
基金 Supported by National Natural Science Foundation of China(Nos.61373080 61402261 61303088 U1201258) Promotive Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province(Nos.BS2013DX039 BS2013DX048)
关键词 multi-scale analysis fractal dimension rational fractal interpolation GRADIENT multi-scale analysis fractal dimension rational fractal interpolation gradient
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