Has anyone heard of a technique called radial interpolation?

It was mentioned to me in conversation, but I have no real

idea what the techniques involves. Either references or

code would be appreciated.

Thanks

Karl DeBisschop

Has anyone heard of a technique called radial interpolation?

It was mentioned to me in conversation, but I have no real

idea what the techniques involves. Either references or

code would be appreciated.

Thanks

Karl DeBisschop

: Has anyone heard of a technique called radial interpolation?

Since you're not giving very much information, I'm purely guessing here,

but it might be that one has original datapoints on a circle (i.e. non

regular gridded) and wants to interpolate datapoints in between. This

you'll e.g. find in the reconstruction algorithms in CT scanners.

Take a look at chapter 7.3 in this book:

D. Dudgeon, Multidimensional Signal Processing, Prentice Hall, N.J. 1984

Barthold

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Barthold Lichtenbelt | Hewlett Packard Company

Graphics Software Lab | 3404 East Harmony Road

| MS-74

(970) 229 6974 fax: (970) 229 4319 | Fort Collins, CO 80525

1. Fast interpolation using radial basis functions

I have a problem of interpolating a 2D motion field. What I know is that the

motion field will be smooth (NO discontinuity) and I have some holes in it

which I need to fill. My data size is rather large: several thousands data

points and several thousand places to be interpolated as well. At the moment

I am trying to treat the horizontal and vertical component as two separate

2D surfaces and interpolate them separately using radial basis functions.

The trouble is: evaluating the coefficients for the RBFs from first

principles (i.e. inverting big matrices) is too time and memory consuming.

Does anyone out there know of a iterative method to solve the problem? I

would like an algorithm which is not too mathematical to understand.

Any help will be appreciated.

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