Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 2, Issue 1


Published
on

June 30, 2017


Pages

299-316


DOI

Article

Smoothing vs. sharpening of colour images: Together or separated


Authors

Cristina Pérez-Benito Affiliation:
Instituto de Biomecánica de Valencia, Universitat Politècnica de València, València, Spain
, Samuel Morillas Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, València, Spain
, Cristina Jordán Affiliation:
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, València, Spain
and J. Alberto Conejero Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, E46022 València, Spain


Abstract

It is still a challenge to improve the efficiency and effectiveness of image denoising and enhancement methods. There exists denoising and enhancement methods that are able to improve visual quality of images. This is usually obtained by removing noise while sharpening details and improving edges contrast. Smoothing refers to the case of denoising when noise follows a Gaussian distribution.
Both operations, smoothing noise and sharpening, have an opposite nature. Therefore, there are few approaches that simultaneously respond to both goals. We will review these methods and we will also provide a detailed study of the state-of-the-art methods that attack both problems in colour images, separately.


Keywords

Color images, image smoothing, image sharpening, 94A08, 68U10


Citation

Pérez-Benito, C., Morillas, S., Jordán, C., & Conejero, J. A. (2017). Smoothing vs. sharpening of colour images: Together or separated. Applied Mathematics and Nonlinear Sciences, 2(1), 299–316. https://doi.org/10.21042/AMNS.2017.1.00025

Published by: Engineering Journals

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