Colour Image Compression Using Quaternion Principal Component Analysis

Vol.1 No. 2

Year: 2011

Issue: Dec-Feb

Title: Colour Image Compression Using Quaternion Principal Component Analysis 

Author Name: Venkatramana Reddy B.D, T. Jaya Chandra Prasad 

Synopsis: 

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.