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- W2495576688 abstract "The inverse question of identifying a function from the nodes (zeroes) of its wavelet transform arises in a number of fields. These include whether the nodes of a heat or hypoelliptic equation solution determine its initial conditions, and in mathematical vision theory the Marr conjecture, on whether an image is mathematically determined by its edge information. We prove a general version of this conjecture by reducing it to the moment problem, using a basis dual to the Taylor monomial basis $x^alpha$ on $mathbb {R}^n$." @default.
- W2495576688 created "2016-08-23" @default.
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- W2495576688 date "2013-12-29" @default.
- W2495576688 modified "2023-09-27" @default.
- W2495576688 title "The Marr Conjecture and Uniqueness of Wavelet Transforms" @default.
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- W2495576688 doi "https://doi.org/10.48550/arxiv.1401.0542" @default.
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