Riesz Fractional Derivative-Based Approach for Texture Enhancement

被引:0
|
作者
Kaur K. [1 ]
Kumari M. [1 ]
Tuteja S. [2 ]
机构
[1] ECED, Chandigarh University, Gharuan
[2] CSE AI, Chitkara University, Rajpura
关键词
Average gradient; Fractional calculus; Image sharpening; Information entropy; Riesz fractional derivative;
D O I
10.1007/s40031-024-01042-x
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Textural enhancement is an indispensable area that needs to be addressed in the case of applications of image processing. Despite the existence of various enhancement approaches, it is quite difficult to preserve the informational details while enhancing the image features. This creates the necessity for the development of a fractional derivative approach for enhancing the image texture. This paper develops a unique mask by utilizing the Riesz fractional derivative (RFD) to enhance fine details in images. Simulations are conducted on the test images from standard datasets and fundus images to establish the efficacy of presented RFD method by metrics such as average gradient (AG) and information entropy (IE). The simulated results show the proficiency of the presented RFD approach as the improvement of 0.0649 and 6.3327 is achieved for IE and AG for the standard images against the existing methods. © The Institution of Engineers (India) 2024.
引用
收藏
页码:1339 / 1345
页数:6
相关论文
共 50 条
  • [41] A Frechet derivative-based novel approach to option pricing models in illiquid markets
    Gulen, Seda
    Sari, Murat
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (02) : 899 - 913
  • [42] Medical Image Enhancement Method Based on the Fractional Order Derivative and the Directional Derivative
    Guan, Jinlan
    Ou, Jiequan
    Lai, Zhihui
    Lai, Yuting
    INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 2018, 32 (03)
  • [43] Fractional derivative-based performance analysis to Caudrey-Dodd-Gibbon-Sawada-Kotera equation
    Jhangeer, Adil
    Almusawa, Hassan
    Rahman, Riaz Ur
    RESULTS IN PHYSICS, 2022, 36
  • [44] Innovative operational matrices based computational scheme for fractional diffusion problems with the Riesz derivative
    Hamid, M.
    Usman, M.
    Zubair, T.
    Haq, R. U.
    Wang, W.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (10):
  • [45] Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
    Celik, Cem
    Duman, Melda
    JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (04) : 1743 - 1750
  • [46] Innovative operational matrices based computational scheme for fractional diffusion problems with the Riesz derivative
    M. Hamid
    M. Usman
    T. Zubair
    R. U. Haq
    W. Wang
    The European Physical Journal Plus, 134
  • [47] Texture Enhancement for Medical Images Based on Fractional Differential Masks
    Jalab, Hamid A.
    Ibrahim, Rabha W.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [48] Propagation of dust ion acoustic waves with Riesz fractional derivative
    Das, Tushar Kanti
    Mandi, Laxmikanta
    Chatterjee, Prasanta
    INDIAN JOURNAL OF PHYSICS, 2024, 98 (09) : 3373 - 3380
  • [49] Positive solutions of fractional differential equations with the Riesz space derivative
    Gu, Chuan-Yun
    Zhang, Jun
    Wu, Guo-Cheng
    APPLIED MATHEMATICS LETTERS, 2019, 95 : 59 - 64
  • [50] Existence results of fractional differential equations with Riesz–Caputo derivative
    Fulai Chen
    Dumitru Baleanu
    Guo-Cheng Wu
    The European Physical Journal Special Topics, 2017, 226 : 3411 - 3425