In this paper we present a fast algorithm that constructs a parameterization of certain classes of simply connected three-dimensional digital objects. A local search strategy is used to increase the convexity of the object without destroying neighborhood relations of the surface. The resulting object is easily parameterized and by a pull-back of this parameterization, we can approximate the original object in terms of spherical harmonic functions. Finally, limitations of the method as well as different directions for future research are discussed.
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