Analysis of Multi-Scale Fractal Dimension for Image Interpolation

作     者：YAO Xun-xiang ZHANG Yun-feng LIU Geng BAO Fang-xun ZHANG Cai-ming 

作者机构：School of Computer Science & Technology Shandong University of Finance and Economics Shandong Provincial Key Laboratories of Digital Media Technology School of Mathematics Shandong University School of Computer Science and Technology Shandong University 

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) 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2015年第25卷第3期

页      码：23-30页

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.

主 题 词：multi-scale analysis fractal dimension rational fractal interpolation gradient 

学科分类：0711[理学-心理学类] 07[理学] 08[工学] 080203[080203] 080401[080401] 0804[工学-材料学] 080402[080402] 0802[工学-机械学] 

D　O　I：10.19583/j.1003-4951.2015.03.004

馆 藏 号：203105411...