Thismonographisconcernedwithdescriptionanddesignfortwo-dimensional and
three-dimensional images; it will be of special interest to researchers
and graduate students who specialized in image processing and system
theory. From the data in digital images, mathematical models will be
constructed. Then new systems which describe faithfully any
two-dimensional or thr- dimensional digital images will be proposed.
Using the systems thus allows description to be treated as realization
problem and design. By virtue of this approach, this monograph provides
new results and their extensions which are designing of two-dimensional
and three-dimensional images. Some actual design examples will be also
shown. In usual image processing today, two-dimensional images are
transformed into one-dimensional signals, then which are analyzed by
means of various established methods in signal processing theory.
Likewise, three-dimensional images are transformed into two-dimensional
signals and these signals are
analyzedbyestablishedmethodsintwo-dimensionalsignalprocessingtheory.
Another common processing procedure employs tree structures such as qu-
trees for two-dimensional images and oct-trees for three-dimensional
ones.