Colour Image Compression Using Quaternion Principal Component Analysis

Venkatramana Reddy B.D*, T. Jaya Chandra Prasad**
* Professor, Department of ECE, Madanapalle Institute of Technology & Science, Madanapalle, AP, India.
** Principal, RGM College of Engineering & Technology, AP, India.
Periodicity:December - February'2011
DOI : https://doi.org/10.26634/jele.1.2.1370

Abstract

In this paper, we first discuss the quaternion representation of colour images and quaternion matrix algebra. Colour images consisting of the three RGB channels can be represented using pure quaternion-valued pixels. Then, to perform the decomposition of such colour images, we introduce the singular value decomposition of a quaternion matrix which represents a colour image. Finally, based on this decomposition we propose a method for colour image compression without separating the colour image into three channel images. Results of the compression on three different colour images are presented.

Keywords

Colour Image Compression, Quaternions, Singular Value Decomposition

How to Cite this Article?

B.D. Venkatramana Reddy and T. Jayachandra Prasad (2011). Colour Image Compression Using Quaternion Principal Component Analysis. i-manager’s Journal on Electronics Engineering, 1(2), 41-47. https://doi.org/10.26634/jele.1.2.1370

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