Article,
Image analysis via the general theory of moments
Journal of the Optical Society of America (1917-1983), (August 1980)
Abstract
Two-dimensional image moments with respect to Zernike polynomials
are defined, and it is shown how to construct an arbitrarily large
number of independent, algebraic combinations of Zernike moments
that are invariant to image translation, orientation, and size. This
approach is contrasted with the usual method of moments. The general
problem of two-dimensional pattern recognition and three-dimensional
object recognition is discussed within this framework. A unique reconstruction
of an image in either real space or Fourier space is given in terms
of a finite number of moments. Examples of applications of the method
are given. A coding scheme for image storage and retrieval is discussed.
