Yugesh Shanmugam

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We analyse the following local average sampling problem for two variables: Let h be a nonnegative function supported in the rectangle [ − 1 2 , 1 2 ] × [ − 1 2 , 1 2 ] . Given a sequence of samples {yij}i,j∈Z, find a bivariate spline f(x, y) such that (f ? h)(i, j) = yij . It is shown that this problem has infinitely many solutions. Further, under some(More)
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