Abstract

ABSTRACT A new tool of feature extraction and recognition of color image is introduced. It is based on the quaternion representation of color image and quaternion matrix algebra, which are discussed firstly in the paper. Then the singular value (SV) feature vector of a color image is introduced and its many im portant properties are proved. Th e properties are very useful for the description and recognition of color image. Then a method for color image recognition is presented. As an application of SV feature vector, the experiment of color image recognition is made and the experiment results are satisfactory. Keywords: Color image recognition, Quaternion matrix, Feature extraction, Singular value decomposition, Singular value feature vector 1. INTRODUCTION In 1843, Hamilton proposed the concept of quaternions[1]. A quaternion is composed of four parts, i.e., one real part and three imaginary parts: q= a+ bi+ cj+ dk, where a,b,c,d are all real numbes, i,j,k are imaginary number unit and obey the rule as follows: i

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