Multi-dimensional Fourier series
- To: mathgroup at smc.vnet.net
- Subject: [mg108727] Multi-dimensional Fourier series
- From: Kelly Jones <kelly.terry.jones at gmail.com>
- Date: Mon, 29 Mar 2010 05:23:06 -0500 (EST)
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? -- We're just a Bunch Of Regular Guys, a collective group that's trying to understand and assimilate technology. We feel that resistance to new ideas and technology is unwise and ultimately futile.