Highly accurate and numerically stable higher order QPCET moments for color image representation

A novel method is proposed for highly accurate, fast and numerically stable computation of the higher order Quaternion Polar Complex Exponential Transform (QPCET) moments for color images in polar Coordinates. A novel mathematical formula is derived and used to avoid numerical instabilities at higher orders. The proposed method removes the approximation errors involved in conventional methods and provides high image reconstruction capabilities. The proposed method results in a highly accurate rotation invariance. Numerical experiments are performed where the obtained results are compared with those of the recent existing methods.