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math.DG2026
Explicit Cartesian Coordinates for Three-Dimensional Clothoids
Alexandru Ionut
We combine the spherical-clothoid reconstruction theorem of Lucas and Ortega-Yagues with an explicit spinorial parametrization of the spherical clothoid and a Kampe de Feriet evalu…
math.DG2022
On the spherical clothoid
Alexandru Ionut
We revisit a nonlinear spline primitive for 3-space first studied by Even Mehlum. It is the spherical clothoid, the spherical curve with geodesic curvature a linear function of arc…