Color Image Analysis by Quaternion-Type Moments

• Published in: Journal of mathematical imaging and vision Vol. 51; no. 1; pp. 124 - 144
• Main Authors: Chen, Beijing, Shu, Huazhong, Coatrieux, Gouenou, Chen, Gang, Sun, Xingming, Coatrieux, Jean Louis
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.01.2015; Springer Verlag
• Subjects: Applications of Mathematics; Bioengineering; Computer Science; Engineering Sciences; Image Processing and Computer Vision; Imaging; Life Sciences; Mathematical Methods in Physics; Signal and Image processing; Signal,Image and Speech Processing; Color image registration; Moment; Quaternion; Color face recognition; Color image; Moment invariant; INVARIANTS; ALGEBRA; CLASSIFICATION; HYPERCOMPLEX FOURIER-TRANSFORMS; TRANSLATION; FAST COMPUTATION; ZERNIKE MOMENTS; VECTOR; OBJECT RECOGNITION

In this paper, by using the quaternion algebra, the conventional complex-type moments (CTMs) for gray-scale images are generalized to color images as quaternion-type moments (QTMs) in a holistic manner. We first provide a general formula of QTMs from which we derive a set of quaternion-valued QTM in...