A Comparative Study on Discrete Shmaliy Moments and Their Texture-Based Applications
Joint Authors
Escalante-Ramírez, Boris
González, Germán
Nava, Rodrigo
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-09
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In recent years, discrete orthogonal moments have attracted the attention of the scientific community because they are a suitable tool for feature extraction.
However, the numerical instability that arises because of the computation of high-order moments is the main drawback that limits their wider application.
In this article, we propose an image classification method that avoids numerical errors based on discrete Shmaliy moments, which are a new family of moments derived from Shmaliy polynomials.
Shmaliy polynomials have two important characteristics: one-parameter definition that implies a simpler definition than popular polynomial bases such as Krawtchouk, Hahn, and Racah; a linear weight function that eases the computation of the polynomial coefficients.
We use IICBU-2008 database to validate our proposal and include Tchebichef and Krawtchouk moments for comparison purposes.
The experiments are carried out through 5-fold cross-validation, and the results are computed using random forest, support vector machines, naïve Bayes, and k-nearest neighbors classifiers.
American Psychological Association (APA)
González, Germán& Nava, Rodrigo& Escalante-Ramírez, Boris. 2018. A Comparative Study on Discrete Shmaliy Moments and Their Texture-Based Applications. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1205746
Modern Language Association (MLA)
González, Germán…[et al.]. A Comparative Study on Discrete Shmaliy Moments and Their Texture-Based Applications. Mathematical Problems in Engineering No. 2018 (2018), pp.1-17.
https://search.emarefa.net/detail/BIM-1205746
American Medical Association (AMA)
González, Germán& Nava, Rodrigo& Escalante-Ramírez, Boris. A Comparative Study on Discrete Shmaliy Moments and Their Texture-Based Applications. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1205746
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1205746