36 citations · 196 across the 19 of their papers we have counts for
19 papers
Arbitrary unitary rotation of three-dimensional pixellated images
Alejandro R. Urzúa, Kurt Bernardo Wolf
Using the coefficients introduced by Bargmann and Moshinsky for the reduction of the su() algebra of Cartesian three-dimensional oscillator multiplet states into so() angular…
Unitary rotation of pixellated polychromatic images
Alejandro R. Urzúa, Kurt Bernardo Wolf
Unitary rotations of polychromatic images on finite two-dimensional pixellated screens provide invertibility, group composition, and thus conservation of information. Rotations hav…
Discrete Bessel and Mathieu functions
Kenan Uriostegui, Kurt Bernardo Wolf
The two-dimensional Helmholtz equation separates in elliptic coordinates based on two distinct foci, a limit case of which includes polar coordinate systems when the two foci coale…
Discrete Bessel functions and transform
Kenan Uriostegui, Kurt Bernardo Wolf
We present a straightforward discretization of the Bessel functions to discrete counterparts , of integer orders on integer points $x_m \equiv…
Interbasis expansions in the Zernike system
Natig M. Atakishiyev, George S. Pogosyan, Kurt Bernardo Wolf +1
The differential equation with free boundary conditions on the unit disk that was proposed by Frits Zernike in 1934 to find Jacobi polynomial solutions (indicated as I), serves to…
New separated polynomial solutions to the Zernike system on the unit disk and interbasis expansion
George S. Pogosyan, Kurt Bernardo Wolf, Alexander Yakhno
The differential equation proposed by Frits Zernike to obtain a basis of polynomial orthogonal solutions on the the unit disk to classify wavefront aberrations in circular pupils,…