Diagnosis of Tomato Leaf Diseases Using Fractal Dimension and Box Counting Method Based on Image Analysis

Authors

  • Bakhodir Achilov Tashkent State Agrarian University, Tashken, Uzbekistan

Keywords:

Box-counting, Solanum lycopersicum, Fractal dimension, Hausdorff Dimension.

Abstract

Diseases of tomato leaves, such as late blight, bacterial spot, and mosaic virus, pose a significant threat to agricultural production, necessitating early and accurate diagnosis. This study proposes a novel approach to diagnosing tomato leaf diseases based on fractal dimension analysis using the box-counting method. The method involves processing digital leaf images, binarization to highlight textural features, and calculating the fractal dimension, which reflects the complexity of the leaf structure. Experiments were conducted on a dataset of images comprising healthy leaves and leaves affected by various diseases to identify differences in fractal characteristics. The results demonstrate that the fractal dimension of healthy leaves significantly differs from that of diseased leaves and enables differentiation of disease types at early stages. The proposed approach shows potential for automating diagnostics in precision agriculture systems, offering high sensitivity and low implementation costs. Future research directions include integrating the method with machine learning technologies and developing mobile applications for real-time plant health monitoring.

References

Sarvpriya Singh, Pritpal Singh, Gurdeep Singh, Amarjeet Singh Sandhu, «Crop productivity and energy indices of tomato (Solanum lycopersicum) production under naturally-ventilated poly-house structures in north-western India,» Energy, Т, ISSN 0360-5442, № https://doi.org/10.1016/j.energy. 2024. 134239, p. Volume 314, 2025.

Erwin Yudi Hidayat, Khafiizh Hastuti, Azah Kamilah Muda, «Artificial intelligence in digital image processing: A bibliometric analysis,» Intelligent Systems with Applications, Т, ISSN 2667-3053, № https://doi.org/10.1016/j.iswa. 2024. 200466, p. Volume 25, 2025.

Tao Cui, Tingting Wang, «Exact box-counting and temporal sampling algorithms for fractal dimension estimation with applications to animal behavior analysis,» Results in Engineering, Т. ISSN 2590-1230, № https://doi.org/10.1016/j.rineng. 2024.1 03755, p. Volume 25, 2025.

M. Khudayberdiev, T. Nurmuxamedov, B. Achilov, «FRACTAL ANALYSIS OF TOMATO LEAF TEXTURE IMAGE IN THE CONTEXT OF TOMATO VIRAL MOSAIC DISEASE,» SCIENTIFIC –TECHNICAL JOURNAL of FerPI (ru), № ISSN 2181-7200 , p. Volume 28, 2024.

Mizaakbar Khudaiberdiev, Igor Khan, Bobomurod Tojiboyev, Bahodir Achilov, «Fractal representations in image processing of remote sensing of the Earth,» E3S Web of Conferences, WFCES 2024, pp. 04010, 542, https://doi.org/10.1051/e3sconf/202454104010, 2024.

Zhiwei Wu, Jixiang Xu, Penghui Guo, Liping Ding, Qi Li, Yanqing Wang, «3D printed bionic self-similar overlapping structure devices enable smart ultra-fast oil–water separation and wastewater treatment,» Chemical Engineering Journal, ISSN 1385-8947, № https://doi.org/10.1016/j.cej.2025.159757, p. Volume 505, 2025.

Gurudatta Verma, Tirath Prasad Sahu, «Deep label relevance and label ambiguity based multi-label feature selection for text classification,» Engineering Applications of Artificial Intelligence, ISSN 0952-1976, № https://doi.org/10.1016/j.engappai.2025.110403, p. Volume 148, 2025.

Tanthai Sarakum, Somboon Sukpancharoen, «Non-destructive sweetness classification of Khao Tang Kwa pomelos using machine learning with acoustic and image processing,» Journal of Food Composition and Analysis, https://doi.org/10.1016/j.jfca.2025.107385, p. Volume 142, 2025.

Binyan Yu, Yongshun Liang, «On two special classes of fractal surfaces with certain Hausdorff and Box dimensions,» Applied Mathematics and Computation, ISSN 0096-3003, № https://doi.org/10.1016/j.amc.2023.128509, p. Volume 468, 2024.

Baode Jiang, Dongqi Wei, Zhong Xie, Zhanlong Chen, «A Controlled Fractal Interpolation Method Based On Random Midpoint Displacement For Coastline,» Geomatica, Pages 89-99, № https://doi.org/10.5623/cig2017-202, pp. Volume 71, Issue 2, 2017.

Downloads

Published

2025-04-20

How to Cite

Bakhodir Achilov. (2025). Diagnosis of Tomato Leaf Diseases Using Fractal Dimension and Box Counting Method Based on Image Analysis. International Journal of Scientific Trends, 3(4), 41–49. Retrieved from https://scientifictrends.org/index.php/ijst/article/view/525

Issue

Section

Articles