Exploring the use of two-dimensional piecewise-linear functions as an alternative model for representing and processing grayscale-images

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Main Author: Victor Manuel Jimenez-Fernandez
Format: Artículo científico
Language:en
Published: Universidad Nacional Autónoma de México 2016
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author Victor Manuel Jimenez-Fernandez
author_facet Victor Manuel Jimenez-Fernandez
contents Exploring the use of two-dimensional piecewise-linear functions as an alternative model for representing and processing grayscale-images Victor Manuel Jimenez-Fernandez Héctor Vazquez-Leal Uriel Antonio Filobello-Nino Maribel Jimenez-Fernandez Luis Javier Morales-Mendoza Mario Gonzalez-Lee Ingeniería linear images Piecewise Grayscale Alternative Traditionally, a grayscale image is represented as a rectangular array whose internal values describe a discrete level of intensity or luminance denoted as pixel. Due to its structure and complete compatibility with matrix operators, this representation is the most widely used in image processing. Although the strong robustness of this standard is not in question, it is always enriching to have an alternative description format in order to provide not only a different image representation scheme but also an additional approach to image processing. Motivated by this fact, in this paper the viability of using continuous piecewise-linear functions of two spatial variables as an alternative model description of grayscale images is explored. Moreover, the possibility of applying this type of representation in image processing is also examined by using mapping variable transformations, here denominated as functional filters. Furthermore, it is also shown that such alternative image model can also be used in more complex tasks like tridimensional volume estimation. To verify this proposal, illustrative examples are reported, showing not only an inherent improvement in the visual perception of image, but also a practical image processing capability. 2016 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47448461004 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.5 Vol.14
format Artículo científico
id redalyc_47448461004
institution Redalyc
language en
publishDate 2016
publisher Universidad Nacional Autónoma de México
spellingShingle Exploring the use of two-dimensional piecewise-linear functions as an alternative model for representing and processing grayscale-images
Victor Manuel Jimenez-Fernandez
Ingeniería
linear
images
Piecewise
Grayscale
Alternative
Exploring the use of two-dimensional piecewise-linear functions as an alternative model for representing and processing grayscale-images Victor Manuel Jimenez-Fernandez Héctor Vazquez-Leal Uriel Antonio Filobello-Nino Maribel Jimenez-Fernandez Luis Javier Morales-Mendoza Mario Gonzalez-Lee Ingeniería linear images Piecewise Grayscale Alternative Traditionally, a grayscale image is represented as a rectangular array whose internal values describe a discrete level of intensity or luminance denoted as pixel. Due to its structure and complete compatibility with matrix operators, this representation is the most widely used in image processing. Although the strong robustness of this standard is not in question, it is always enriching to have an alternative description format in order to provide not only a different image representation scheme but also an additional approach to image processing. Motivated by this fact, in this paper the viability of using continuous piecewise-linear functions of two spatial variables as an alternative model description of grayscale images is explored. Moreover, the possibility of applying this type of representation in image processing is also examined by using mapping variable transformations, here denominated as functional filters. Furthermore, it is also shown that such alternative image model can also be used in more complex tasks like tridimensional volume estimation. To verify this proposal, illustrative examples are reported, showing not only an inherent improvement in the visual perception of image, but also a practical image processing capability. 2016 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47448461004 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.5 Vol.14
title Exploring the use of two-dimensional piecewise-linear functions as an alternative model for representing and processing grayscale-images
topic Ingeniería
linear
images
Piecewise
Grayscale
Alternative
url https://www.redalyc.org/articulo.oa?id=47448461004