Color image analysis of quaternion discrete radial Krawtchouk moments

Abstract

In this work, we suggest a new set of quaternion discrete radial Krawtchouk moments (QDRKMs) for color image reconstruction and classification. These new discrete moments are represented over a disk by using discrete orthogonal radial Krawtchouk moments. The use of Quaternion discrete moments for color image eliminates the discretization errors produced when the Quaternion continuous moments are used. Furthermore, this approach is suggested for highly accurate calculation of QDRKMs in polar coordinates where the kernel is exactly calculated by over circular color pixels. The translation, scaling, and rotation (TSR) invariances for QDRKMs are proved. Theoretical analysis and numerical experiments investigation were shown in terms of the performance description of TSR invariances, classification and robustness to different noises of the QDRKMs compared with continuous quaternion Legendre–Fourier moments using COIL 100 database.