A finite-element method extends 2D odeco integrability to 3D surfaces to generate shear-free quadrilateral meshes with automatic singularity placement and minimized area or stretch distortion under alignment and sizing constraints.
Discrete conformal equivalence of polyhedral surfaces
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DJM constructs compact base meshes for displacement mapping by guiding QEM simplification with a Jacobian lower-bound constraint to ensure bijective low-distortion mappings, outperforming priors on accuracy-size trade-off.
BijectiveRemesh maintains continuous bijective mappings across remeshing sequences by composing local bijective atlases for operations including edge collapses, splits, swaps, and smoothing.
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Surface Quadrilateral Meshing from Integrable Odeco Fields
A finite-element method extends 2D odeco integrability to 3D surfaces to generate shear-free quadrilateral meshes with automatic singularity placement and minimized area or stretch distortion under alignment and sizing constraints.