most citedAnalytic Eigensystems for Isotropic Membrane Energies

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math.NA2025

Fast and Accurate Intersections on a Sphere

Hongyu Chen, Paul A. Ullrich, Julian Panetta

We introduce a fast, high-precision algorithm for calculating intersections between great circle arcs and lines of constant latitude on the unit sphere. We first propose a simplifi…

math.NA2020★ 2 cited

Analytic Eigensystems for Isotropic Membrane Energies

Julian Panetta

We extend the approach of [Smith et al. 2019] to derive analytical expressions for the eigenvalues and eigenmatrices of an isotropic membrane energy density function $ψ: \mathbb{R}…