Point-Clothoid Distance and Projection Computation

DOI10.1137/18M1200439OpenAlexW2981572835WikidataQ127025889 ScholiaQ127025889MaRDI QIDQ5241270

Enrico Bertolazzi, Marco Frego

Publication date: 30 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1200439

zbMATH Keywords

distanceCornu spiralEuler spiralclothoiddistance point-curve

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of solutions to single equations (65H05) Computer-aided design (modeling of curves and surfaces) (65D17) Graphical methods in numerical analysis (65S05)

Related Items (3)

Point data reconstruction and smoothing using cubic splines and clusterization ⋮ Efficient intersection between splines of clothoids ⋮ Closed form parametrisation of 3D clothoids by arclength with both linear varying curvature and torsion

Uses Software

• DLMF
• GitHub
• Clothoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on finding clothoids
• A two-point \(G^1\) Hermite interpolating family of spirals
• Semi-analytical minimum time solutions with velocity constraints for trajectory following of vehicles
• On the \(G^2\) Hermite interpolation problem with clothoids
• Semianalytical minimum-time solution for the optimal control of a vehicle subject to limited acceleration
• Curve Fitting with Clothoidal Splines
• Interpolating clothoid splines with curvature continuity
• G¹ fitting with clothoids

This page was built for publication: Point-Clothoid Distance and Projection Computation