Legendre Moments Explorations via Image Reconstruction
Chiang, Pei-Jung Amy
Chiang, Pei-Jung Amy. Legendre Moments Explorations via Image Reconstruction; A Thesis Submitted to the Faculty of Graduate Studies in Partial Ful.lment of the Requirements for the Degree of Master of Science. Winnipeg, 2014.
Legendre Moment has been applied in image reconstruction since early years. In this research, a numerical integration method is proposed to improve the computational accuracy of Legendre moments. To clarify the improved computation scheme, image reconstructions from higher orders of Legendre moments, up to 240, are conducted. With the more accurate generated moments, the distributions of image information in a finite set of Legendre moments is investigated. We have concluded that each individual finite set of Legendre moments will represent the unique image features independently, while the even orders of Legendre moments describe most of image characteristics.