Subdivision Schemes with Non-negative Masks Converge Always -unless They Obviously Cannot?
نویسنده
چکیده
It is conjectured that any non-negative stationary univariate subdivision scheme converges unless its mask has some obviously bad properties. In support of this conjecture several particular cases are proven, which subsume previously known results. It is conjectured further that the associated reenable function is positive on the interior of its interval of support, unless the subdivision scheme is interpolatory.
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