On the computability of the Fréchet distance of surfaces in the bit-model of real computation

11/06/2017

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by   Eike Neumann, et al.

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We show that the Fréchet distance of two-dimensional parametrised surfaces in a metric space is computable in the bit-model of real computation. An analogous result in the real RAM model for piecewise-linear surfaces has recently been obtained by Nayyeri and Xu (2016).