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flow field

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Hi, I need to generate a vector flow field for the case where I know the vector values of the field at a set of arbitrary points (which are not uniformly spaced). The most important thing is that the vector value of the field at points close to training set are sensible interpolations/extrapolations of the training set and varies smoothly as it moves away from the training set. thank for any help. Shaobo

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One approach to this is, I think, Smooth Particle Hydrodynamics (SPH). The idea is that you do know (or calculate) properties at discrete, but arbitrarily spaced points, then integrate a kernel function to compute the field around those points. The entire field itself normally is represented as a grid of some sort within which the sample points lie.

I'm thinking about a SIGGRAPH paper I saw a couple of years ago that may be helpful. If I can find a link, I'll add another reply to this thread.

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thanks very much, I also found another paper which dealt with something similar where they have to compute a dense correspondence field from a sparse correspondence field between an scene before and after camera rotation, using locally weighted learning.

I will be reading both papers tonight.

I'll be happy with any method that can do this in a reasonable time, it is suppose to be part of an offline process anyway.

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