Hello,

Someone could tell me, please, if there exists any standard method of 
generating points in a multi-dimensional real hyper-space (like [0,1]^N, 
where N represents the number of dimensions) so to preserve the unknown 
space distribution of a given sample of points from the considered space.

More precisely, based on a sample of 60,000 mutidimensional points 
(representing colour characteristics of images from an image database), 
is it possible to generate a set of 1,000,000 points with garanties (of 
any nature) that the generated set preserves the (unknown) space 
distribution of the original sample set? I want to avoid to simply 
replicate/duplicate the original points, method which I'm not very sure 
that preserves the original distribution either.

Thank you for your answers and for any references to similar solved or 
unsolved problems,

Cristian

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