  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 $\mathbb {R}^n$.
