Elliptic Fourier analysis
were conducted with a software package for quantitive evaluation of biological shapes based on EFDs (SHAPE ver.
According to Cadrin & Friedland (1999), the Fourier analysis
technique is an efficient method for describing all of the variation in the shape contours and the individual differences in the scale of the otolith contour (Campana & Casselman, 1993), although the biological interpretation of the results obtained from this technique is more complex than the biological interpretation of the results obtained from linear morphometry (Stransky & MacLellan, 2005).
This decomposition of periodic functions is a part of the very Fourier analysis
. Each of the terms of the series in which the function is decomposed is called a harmonic, and every harmonic has a frequency that is always n times the fundamental frequency (the frequency of the first harmonic), where n is an integer.
2 Preliminaries and notations on non-abelian Fourier analysis
Relationships among eigenshape analysis, Fourier analysis
, and analysis of coordinates.
Slepian, Prolate spheroidal wavefunctions, Fourier analysis
and uncertainty, IV: Extensions to many dimensions; generalized prolate spheroidal functions, Bell Sys.
Key Words: Describing phenotypic variability; Cultivated; Wild rice; Elliptic fourier analysis
In this paper we employ a mathematical characterization of form (elliptical Fourier analysis
) in concert with multivariate and phylogenetic analysis in an attempt to provide objective criteria to classify a group of Caribbean octocorals on the basis of calcium carbonate skeletal elements called sclerites.
Key words: time delay systems, Pade approximation, Laguerre shift, Kautz shift, Fourier analysis
Application of fourier analysis
to the visibility of gratings.
After an introduction to the MATLAB software, they discuss signals, systems, time domain system analysis, the Fourier series and transform, the Fourier analysis
of discrete-time signals, frequency response, the Laplace transform, the z transform, and the transfer function.
With the TMS-5, Anterior and Posterior analysis of the cornea, in addition to real power, Pachymetry, Fourier analysis
and Kerataconus screening maps are all available easily, www.mainline-optical.co.uk