Prof. Jorge E. Macías-Díaz
Autonomous University of Aguascalientes, Department of Mathematics, Mexico
Speech Title: Thresholding-Based Denoising of Images Using 2D Hanning Filter Decomposition
Abstract:
In this work, we explore image denoising methods based on a 2D Hanning filter decomposition. A distinctive feature of this approach is that the image can be perfectly reconstructed by simply summing the components of the decomposition. We propose two single thresholding techniques applied to the decomposed components and evaluate their performance in denoising tasks. These techniques are then compared to traditional wavelet-based thresholding methods, showing competitive results in terms of denoising quality. The proposed method offers an alternative for image denoising while maintaining simplicity and ease of reconstruction.
Biography:
Obtained a PhD in Mathematics from the Tulane University of Louisiana under the direction of Prof. László Fuchs (2001), and a PhD in Physics from the University of New Orleans under the supervision of Prof. Ashok Puri (2007). His academic production includes more than 200 journal articles on abstract algebra, nonlinear partial differential equations, mathematical and stochastic modeling, numerical analysis of differential equations, computer simulation of systems in physics, and fractional-order calculus. He has been in charge of various projects financed by the National Council for Science and Technology of Mexico (CONACYT). He is Associate Editor for Applied Numerical Mathematics (Elsevier), International Journal of Computer Mathematics (Taylor and Francis), Advances in Mathematical Physics (Hindawi), and Computational and Mathematical Method (Wiley). Since 2012, he is a regular member of the Mexican Academy of Sciences.