Re: how to evaluate the addition of millions of functions dynamically and efficiently?

From: Stephen J. Herschkorn (herschko_at_rutcor.rutgers.edu)
Date: 08/13/04 

Date: Fri, 13 Aug 2004 16:16:43 GMT

networm wrote:

>Dear all,
>
>I am headache on the following problem:
>
>I have a bunch of 2D functions, they are the replication of the same 2D
>function at different shift (x, y) locations.
>
>They can be viewed as a 2D impulse function replicated at both X and Y
>dimension, and then convolve with another 2D function. Since impulse
>function convolve with another function leads to that very function. So now
>after convolution I have a bunch of 2D functions...
>
>These 2D functions can overlap, if the 2D functions have infinite support,
>for example, a Z(x, y)=(sinc(x, y))^2, this function has infinite support.
>Suppose there are 1000x1000 such infinite support 2D functions, shifted at
>different (x,y) locations...
>
>Now I want to compute their sum.
>

Is it possible to approximate the expression by an integral? 

-- 
Stephen J. Herschkorn                        herschko@rutcor.rutgers.edu

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