3 papers
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…
math.NA2020
Fresnel Integral Computation Techniques
Alexandru Ionut, James C. Hateley
This work is an extension of previous work by Alazah et al. [M. Alazah, S. N. Chandler-Wilde, and S. La Porte, Numerische Mathematik, 128(4):635-661, 2014]. We split the computatio…