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.
citing papers explorer
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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.
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DJM: Compact Base Meshes for Displacement Mapping using Triangle Jacobians
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.
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BijectiveRemesh: Maintaining Bijective Mappings for Data Transfer Across Remeshed Manifolds
BijectiveRemesh maintains continuous bijective mappings across remeshing sequences by composing local bijective atlases for operations including edge collapses, splits, swaps, and smoothing.