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Reconstruction of algebraic sets from dynamic moments

Gabriela PutinarMihai Putinar — 2007

Annales de la faculté des sciences de Toulouse Mathématiques

We discuss an exact reconstruction algorithm for time expanding semi-algebraic sets given by a single polynomial inequality. The theoretical motivation comes from the classical L -problem of moments, while some possible applications to 2D fluid moving boundaries are sketched. The proofs rely on an adapted co-area theorem and a Hankel form minimization.

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