Blended Chart Surfaces create a compact explicit globally smooth surface by optimizing per-vertex polynomial maps on a proxy mesh and blending them via one-ring coordinates.
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2026 6representative citing papers
PI-MFA optimizes tensor-product B-spline control points to balance data fidelity against PDE residuals, producing physically consistent continuous flow fields.
Non-conformal immersed and union-based isogeometric methods with boundary-conformal quadrature reduce patch count and preprocessing for magnetostatics while union variants maintain accuracy on benchmarks.
A fully discrete strain-based model for continuum robot dynamics via Lie group variational integrators, combined with an EKF-based observer for states and disturbances, validated on hardware.
A material formulation of the cross-sectional warping problem for hyperelastic beams is derived in Voigt notation to compute effective nonlinear beam stiffness efficiently.
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Blended Chart Surfaces: A Seamless Explicit Representation for Smooth Surface Fitting
Blended Chart Surfaces create a compact explicit globally smooth surface by optimizing per-vertex polynomial maps on a proxy mesh and blending them via one-ring coordinates.