Data representation by field calculus and leading to the orthonormal linear transforms
Hisashi Endo, Yoshihiro Takasuka, Iliana Marinova, Seiji Hayano, Yoshifuru SAITO · International Journal of Applied Electromagnetics and Mechanics · 2004
This paper proposes a method of data set representation by potential field equations. The principal idea of the representation is to regard a numerical data set as a kind of potential/source fields, leading to the governing equations. The modal analysis of the equations derives the orthonormal linear transform matrix. It is described that the matrix corresponds to that of discrete wavelets performing an efficient wavelet multi-resolution analysis.