An Approximated Box Height for Differential-Box-Counting Method to Estimate Fractal Dimensions of Gray-Scale Images

Entropy

Consuelo Gonzalo-Martín¹  Angel Garcia-Pedrero¹  Dionisio Rodríguez-Esparragón²  Nihar Kumar Mahato³  Chinmaya Panigrahy³  Ayan Seal³ 

[1] Center for Biomedical Technology, Universidad Politécnica de Madrid, Campus de Montegancedo, 28233 Pozuelo de Alarcón, Spain;Instituto de Oceanografía y Cambio Global, IOCAG, Campus de Tafira, Edificios de Telecomunicaciones, 35017 Las Palmas, Spain;PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur 482005, India;

关键词: Fractal Dimension;    Dfferential Box Counting;    box height;    Fractal Brownian Motion;    Brodatz Database;   

DOI  :  10.3390/e19100534

来源: DOAJ

【 摘 要 】

The Fractal Dimension (FD) of an image defines the roughness using a real number which is highly associated with the human perception of surface roughness. It has been applied successfully for many computer vision applications such as texture analysis, segmentation and classification. Several techniques can be found in literature to estimate FD. One such technique is Differential Box Counting (DBC). Its performance is influenced by many parameters. In particular, the box height is directly related to the gray-level variations over image grid, which badly affects the performance of DBC. In this work, a new method for estimating box height is proposed without changing the other parameters of DBC. The proposed box height has been determined empirically and depends only on the image size. All the experiments have been performed on simulated Fractal Brownian Motion (FBM) Database and Brodatz Database. It has been proved experimentally that the proposed box height allow to improve the performance of DBC, Shifting DBC, Improved DBC and Improved Triangle DBC, which are closer to actual FD values of the simulated FBM images.

【 授权许可】

Unknown