Re: Multi-dimensional Fourier series
- To: mathgroup at smc.vnet.net
- Subject: [mg108734] Re: Multi-dimensional Fourier series
- From: dh <dh at metrohm.com>
- Date: Mon, 29 Mar 2010 06:57:58 -0500 (EST)
- References: <hopv0o$r72$1@smc.vnet.net>
Hi Kelly, as long as your data points are on a rectangular grid, "Fourier" will have no problems. But do you have any reason to assume that your data is periodic? Otherwise, I would first try with polynomials, using e.g. "Fit" Daniel On 29.03.2010 12:22, Kelly Jones wrote: > I measured the temperature of several points in a 3-dimensional space, > and want to curve-fit the results to a "simple" function. > > Sine/cosine functions are the most obvious choice, but how do you > Fourier transform 3-dimensional data? > > And what exactly is a 3-dimensional Fourier transform? > > I'm guessing it's the sum of terms like: > > Cos[r*x]*Cos[s*y]*Cos[t*z] > > over all integer values of r,s,t, with the appropriate phase shifts, > amplitude shifts, etc, thrown in. > > What Mathematica functions can help me + where can I learn more about them? > -- Daniel Huber Metrohm Ltd. Oberdorfstr. 68 CH-9100 Herisau Tel. +41 71 353 8585, Fax +41 71 353 8907 E-Mail:<mailto:dh at metrohm.com> Internet:<http://www.metrohm.com>