On Quad Mesh Extraction From Messy Grid Preserving Maps

Nicolas Ray

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arXiv · 2507.15404

On Quad Mesh Extraction From Messy Grid Preserving Maps

Nicolas Ray

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Abstract

Extracting a quad mesh from a grid preserving map is straightforward in theory, but typical inputs are not exactly grid preserving maps. Previous works can manage minor deviations from grid preserving maps, but without a clear specification of what is acceptable. This work clarifies how typical inputs differ from a grid preserving map, and shows how the differences with a grid preserving map can be reflected by a sequence of operations acting on a discrete structure. It opens research opportunities for the design of a robust quad extraction algorithm.

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Nicolas Ray. 2025-07-21. On Quad Mesh Extraction From Messy Grid Preserving Maps. https://arxiv.org/abs/2507.15404

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