The Zernike polynomials are a complete set of continuous functions orthogonal over a unit
circle. Since first developed by Zernike in 1934, they have been in widespread use in many …

In this paper we review a special set of orthonormal functions, namely Zernike polynomials
which are widely used in representing the aberrations of optical systems. We give the …

Various types of moments have been used to recognize image patterns in a number of
applications. A number of moments are evaluated and some fundamental questions are …

Polarized Light and Optical Systems presents polarization optics for undergraduate and
graduate students in a way which makes classroom teaching relevant to current issues in …

A method is described for determining a variable gamma-ray absorption coefficient in a
sample from measurements made outside the sample, and the applicability of the method to …

This book is a comprehensive treatise on the theory and applications of moment functions in
image analysis. Moment functions are widely used in various realms of computer vision and …

Due to their good rotational invariance and stability, image continuous orthogonal moments
are intensively applied in rotationally invariant recognition and image processing. However …

Moment invariants have been proposed as pattern sensitive features in classification and
recognition applications. In this paper, the authors present a comprehensive study of the …

The classical Fourier transform is one of the most widely used mathematical tools in
engineering. However, few engineers know that extensions of harmonic analysis to …

This book is primarily aimed at students, researchers, and practitioners who are interested in
the computational aspects of X-ray computed tomography (CT). It is also relevant for those …