Lagrangian evolution approach to surface-patch quadrangulation
Martin Húska, Matej Medl'a, Karol Mikula, Serena Morigi (2021)
Applications of Mathematics
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We present a method for the generation of a pure quad mesh approximating a discrete manifold of arbitrary topology that preserves the patch layout characterizing the intrinsic object structure. A three-step procedure constitutes the core of our approach which first extracts the patch layout of the object by a topological partitioning of the digital shape, then computes the minimal surface given by the boundaries of the patch layout (basic quad layout) and then evolves it towards the...