|
|
|
| An Improved Fractional Differential Mask |
| WANG Wei-Xing,YU Xin,LAI Jun |
| College of Computer Science and Technology,Chongqing University of Posts and Telecommunications,Chongqing 400065 |
|
|
|
|
Abstract Applying the fractional differential theory to image processing is a new research topic. According to the functional characteristics of fractional differential Tiansi operator, an algorithm is proposed to improve Tiansi operator. The algorithm significantly enhances the edge information value. It is based on the enhancement ability of fractional differential to image details and the mechanism analysis of fractional differential. Firstly, Tiansi template is divided into eight sub-templates with different directions around the detecting pixel, and then the eight weight sum values for the eight sub-templates are obtained. Next, the eight weights are divided into different groups. Consequently, three improved algorithms with different enhancing ranges are gained. Finally, the experimental results of edge enhancement show that the improve algorithm enhances edge information effectively and reveals more detailed information than traditional operators for rock fracture images.
|
|
Received: 15 April 2009
|
|
|
|
|
|
[1] Wang Weixing. Image Acquisition of Rock Fractures Based on Both UV and Visible Light. Metal Mine, 2006, 3:18-21,80 (in Chinese)
(王卫星.基于紫外光和可见光的岩体节理裂隙图像获取.金属矿山, 2006, 3: 18-21,80)
[2] Falconer K. Fractal Geometry Mathematical Foundations and Appli-
cations. 2nd Edition. Malden, USA: John Wiley Sons, 2000
[3] Yand Zhuzhong, Zhou Jiliu, Huang Mei, et al. Edge Detection Based on Fractional Differential. Journal of Sichuan University: Engineering Science Edition, 2008, 40(1): 152-157 (in Chinese)
(杨柱中,周激流,黄 梅,等.基于分数阶微分的边缘检测.四川大学学报:工程科学版, 2008, 40(1): 152-157)
[4] Yang Zhuzhong, Zhou Jiliu, Yan Xiangyu, et al. Image Enhancement Based on Fractional Differentials. Journal of Computer-Aided Design Computer Graphics, 2008, 20(3): 343-348 (in Chinese)
(杨柱中,周激流,晏祥玉,等.基于分数阶微分的图像增强.计算机辅助设计与图形学学报, 2008, 20(3): 343-348)
[5] Pu Yifei, Wang Weixing, Zhou Jiliu, et al. Fractional Differential Approach to Detecting Textural Features of Digital Image and Its Fractional Differential Filter Implementation. Science in China: Series F, 2008, 51(9): 1319 -1339
[6] Oldham K B, Spanier J. The Fractional Calculus. New York, USA: Academic Press, 1974
[7] Podlubny I. Fractional Differential Equations // Podlubry L, ed. Mathematics in Science and Engineering. London, UK: Academic Press,1999: 150-158
[8] Pu Yifei,Wang Weixing. Fractional Differential Masks of Digital Image and Their Numberical Implementation Algorithms. Acta Automatica Sinica, 2007, 33(11): 1128- 1135 (in Chinese)
(蒲亦非,王卫星.数字图像的分数阶微分掩模及其数值运算规则.自动化学报, 2007, 33(11): 1128-1135)
[9] Pu Yifei. Application of Fractional Differential Approach to Digital Image Processing. Journal of Sichuan University: Engineering Science Edition, 2007, 39(3): 124-131 (in Chinese)
(蒲亦菲.将分数阶微分演算引入数字图像处理.四川大学学报:工程科学版, 2007, 39(3): 124-131)
[10] Wang Yiyang, Pu Yifei, Zhou Jiliu. 1/2 Order Fractional Differential Tree Type Circuit of Digital Image // Proc of the Congress on Image and Signal Processing. Sanya, China, 2008, Ⅲ: 331-334
[11] Fan Yuhua, Li Wen. Comparison of Discretization Methods of Fractional Order Differentiator. Journal of Dalian Jiaotong University, 2008, 29(3): 95-98 (in Chinese)
(樊玉华,李 文.分数阶微分算子的离散化方法比较.大连交通大学学报, 2008, 29(3): 95-98) |
|
|
|
2010, Vol. 23 
