Ap. Berg et Wb. Mikhael, AN EFFICIENT STRUCTURE AND ALGORITHM FOR IMAGE REPRESENTATION USING NONORTHOGONAL BASIS IMAGES, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 44(10), 1997, pp. 818-828
This paper presents a new recursive parallel mixed transform technique
employing a projection algorithm for image representation, Image code
rs which employ subsets of nonorthogonal basis images chosen from two
or more transform domains have been shown to consistently yield higher
image quality than those based on one transform for a fixed compressi
on ratio, However, these techniques have not been widely employed sinc
e existing formulations have either lacked rigorous development or suf
fered from high computational complexity and convergence problems, The
algorithm presented herein overcomes these limitations, The algorithm
is rigorously formulated, conditions for convergence are derived, and
computational considerations are examined. Results of simulations are
presented which demonstrate excellent performance in terms of energy
compaction.