Complete modal representation with discrete zernike polynomials - critical sampling in non redundant grids

Abstract

Capítulo 10. 18 páginas, 4 figuras, 2 tablas. El libro Numerical Simulations of Physical and Engineering Processes es de acceso abierto y sujeto a una licencia Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0).-- Trabajo presentado a la "CMMSE 2011 : 11th International Conference Computational and mathematical methods in Science and Engineering" celebrado del 26 al 30 de Junio del 2011 en Benidorm (España).Numerical Simulations of Physical and Engineering Process is an edited book divided into two parts. Part I devoted to Physical Processes contains 14 chapters, whereas Part II titled Engineering Processes has 13 contributions. The book handles the recent research devoted to numerical simulations of physical and engineering systems. It can be treated as a bridge linking various numerical approaches of two closely inter-related branches of science, i.e. physics and engineering. Since the numerical simulations play a key role in both theoretical and application oriented research, professional reference books are highly needed by pure research scientists, applied mathematicians, engineers as well post-graduate students. In other words, it is expected that the book will serve as an effective tool in training the mentioned groups of researchers and beyond.The work of the chapter Complete Modal Representation with Discrete Zernike Polynomials - Critical Sampling in Non Redundant Grids was supported by the CiCyT, Spain, under grant FIS2008-00697; J. Arines acknowledges support by the program Isidro Parga Pondal (Xunta de Galicia 2009). We thank Prof. Jesús M. Carnicer, Universidad de Zaragoza for highly useful advises on linear algebra.Peer reviewe