Jorge L. López-López

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Given a collection {Z1, Z2,. .. , Zm} of n-sided polygons in the plane and a query polygon W we give algorithms to find all Z ℓ such that W = f (Z ℓ) with f an unknown similarity transformation in time independent of the size of the collection. If f is a known affine transformation, we show how to find all Z ℓ such that W = f (Z ℓ) in O(n + log(m)) time.(More)
We present a matrix technique to obtain the spectrum and the analytical index of some elliptic operators defined on compact Riemannian manifolds. The method uses matrix representations of the derivative which yield exact values for the derivative of a trigono-metric polynomial. These matrices can be used to find the exact spectrum of an elliptic operator in(More)
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