Reduction of the non-uniform illumination using nonlocal variational models for document image analysis |
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| Authors: | Fatim Zahra Ait Bella Mohammed El Rhabi Abdelilah Hakim Amine Laghrib |
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| Institution: | 1. LAMAI FST Marrakech, Cadi Ayyad University, Morocco;2. Applied Mathematics and Computer Science Department, Ecole des Ponts ParisTech (ENPC), Paris, France;3. LMA FST Béni-Mellal, Sultan Moulay Slimane University, Morocco |
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| Abstract: | In this paper, we investigate two new reflectance and illumination decomposition models based on a nonlocal partial differential equation (PDE) applied to text images. Taking into consideration the higher regularity level of the illumination compared to the reflectance, we propose a nonlocal PDE which deals with repetitive structures and textures that characterize the text image much better compared to the classical local PDEs. The aim of this approach is to use the repetitive features of the reflectance to efficiently extract it from the non-uniform illumination. This idea is motivated by extending the range of application of the nonlocal operators to such a problem. Numerical experiments on both grayscale and color text images show the performance and strength of the proposed nonlocal PDE. |
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| Keywords: | Corresponding author |
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