Band-limited Fourier interpolation: Difference between revisions
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Given some 1D or 2D periodic function sampled at equispaced points, there are a number of reasons why you may want to be able to construct an interpolant the correctly interpolates the data to an arbitrary set of points. This can be done with the matlab functions '''bandLimFourierInterp1D.m''' & '''bandLimFourierInterp2D.m''' (written by Derek). | Given some 1D or 2D periodic function sampled at equispaced points, there are a number of reasons why you may want to be able to construct an interpolant the correctly interpolates the data to an arbitrary set of points. This can be done with the matlab functions '''bandLimFourierInterp1D.m''' & '''bandLimFourierInterp2D.m''' (written by Derek). | ||
== Installing bandLimFourierInterp == | == Installing bandLimFourierInterp == | ||
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That will create a directory called '''bandLimFourierInterp/''' wherever you called the command. The two functions mentioned above are inside that folder. The sub-directory '''bandLimFourierInterp/tests/''' contains some 1D & 2D test cases/examples. | That will create a directory called '''bandLimFourierInterp/''' wherever you called the command. The two functions mentioned above are inside that folder. The sub-directory '''bandLimFourierInterp/tests/''' contains some 1D & 2D test cases/examples. | ||
== Discussion == | == Discussion == | ||
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straight-forward to do. If anyone wants to give this an attempt, I can help/provide my input. --Derek. | straight-forward to do. If anyone wants to give this an attempt, I can help/provide my input. --Derek. | ||
( | (Your comments go here). | ||
Revision as of 13:39, 3 November 2012
Given some 1D or 2D periodic function sampled at equispaced points, there are a number of reasons why you may want to be able to construct an interpolant the correctly interpolates the data to an arbitrary set of points. This can be done with the matlab functions bandLimFourierInterp1D.m & bandLimFourierInterp2D.m (written by Derek).
Installing bandLimFourierInterp
Get the most recent version from the git repository hosted on belize:
git clone http://belize.math.uwaterloo.ca/~dsteinmo/bandLimFourierInterp.git
That will create a directory called bandLimFourierInterp/ wherever you called the command. The two functions mentioned above are inside that folder. The sub-directory bandLimFourierInterp/tests/ contains some 1D & 2D test cases/examples.
Discussion
It might be useful to re-do this with the SPINS/blitz C++ framework for bigger jobs using distributed memory (MPI). I think it would be straight-forward to do. If anyone wants to give this an attempt, I can help/provide my input. --Derek.
(Your comments go here).