Comparison Between The Method of Principal Component Analysis And Principal Component Analysis Kernel For Imaging Dimensionality Reduction

Essa, Assel  Muslim; Ghalib Alrawi, Asmaa

doi:10.33899/iqjoss.2019.0164189

	Comparison Between The Method of Principal Component Analysis And Principal Component Analysis Kernel For Imaging Dimensionality Reduction
IRAQI JOURNAL OF STATISTICAL SCIENCES
Article 2, Volume 16, Issue 2, 2019, Pages 11-24 PDF (1.27 M)
DOI: 10.33899/iqjoss.2019.0164189
Authors
Assel Muslim Essa^* ¹; Asmaa Ghalib Alrawi²
¹Researcher / Department of Statistics / College of Administration and Economics / Sumer University
²Assistant Professor / Department of Statistics / College of Administration and Economics / University of Baghdad
Abstract
This paper tackles with two methods to dimensionality reduction, namely principal component analysis (PCA ) in the case of linear combinations and kernel principal component analysis method in the case of nonlinear combinations to digital image processing and analysis for useful information .And then compare the two methods and know which methods are appropriate to imaging dimensionality reduction The methods were applied to a group of satellite images of an area in the province of Basra, which represents the mouth of the Tigris and Euphrates in the Shatt al-Arab, as well as the water channels permeating Basra Governorate and the water bodies scattered around these channels.In this research, it is shown that the fourth image band is best when using the PCA method the value of it is eigen value was the biggest ,while the KPCA method showed that the third image band was the best, giving the highest latent value. Comparing the two methods using the mean error error (MSE) method, the results showed that the main KPCA method was the best.
Keywords
: images; Image Processing; digital image; Dimensionality Reduction; Principal Component Analysis; kernel principal component analysis

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