Variational Approaches for Illumination Leveling in Images
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Дата
2025
Автори
Науковий керівник
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Назва тому
Видавець
КПІ ім. Ігоря Сікорського
Анотація
This work explores and implements a method for leveling illumination in various types of images. Issues such as insufficient or uneven lighting can lead to the loss of important details, low contrast or incorrect color reproduction. On the other hand, excessive lighting may cause overexposed areas which leads to image information being lost. This problem is particularly relevant in the processing of medical images, where poor lighting can make them look too dark and hide important details, particularly in the shadowed areas. The practical part of the work presents a mathematical model that describes the transition from the variational (optimization) formulation of the problem to its differential form. To evaluate effectiveness of existing numerical methods from the field of mathematical physics in the context of illumination leveling, a comparative analysis is conducted. Experiments were carried out to determine the computation time and number of iterations required to obtain images with leveled illumination.
Опис
Ключові слова
Poisson's equation, variational problem formulation, computational methods, elliptic second order equation, equalization of illumination
Бібліографічний опис
Bekesheva, A. Variational Approaches for Illumination Leveling in Images / A. Bekesheva, V. Khaidurov // Теоретичні і прикладні проблеми фізики, математики та інформатики : матерiали XXIII Всеукраїнської науково-практичної конференцiї студентiв, аспiрантiв та молодих вчених, [Київ], 14−17 травня 2025 р. / КПІ ім. Ігоря Сікорського. – Київ, 2025. – С. 302-306.