Application of iterative Jacobi method for an anisotropic diusion in image processing
Publish place: Theory of Approximation and Applications، Vol: 8، Issue: 2
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MSJI-8-2_004
تاریخ نمایه سازی: 26 مرداد 1402
Abstract:
Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image processing specially denoising. This lter can remove noises without degradingsharp details such as lines and edges. It is running by an iterative numerical method. Therefore, afundamental feature of anisotropic diusion procedure is the necessity to decide when to stop theiterations. This paper proposes the modied stopping criterion that from the viewpoints of complexityand speed is examined. Experiments show that it has acceptable speed without suering from theproblem of computational complexity.
Authors
M. Knanian
Department of Mathematics, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran.
A. Davari
Department of Mathematics, Faculty of sciences, University of Isfahan, Isfahan, Iran.
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