Clothoid spline transition spirals
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- by D. S. Meek and D. J. Walton PDF
- Math. Comp. 59 (1992), 117-133 Request permission
Abstract:
Highway and railway designers use clothoid splines (planar ${G^2}$ curves consisting of straight line segments, circular arcs, and clothoid segments) as center lines in route location. This paper considers the problem of finding a clothoid spline transition spiral which joins two given points and matches given curvatures and unit tangents at the two points. Conditions are given for the existence and uniqueness of the clothoid spline transition spirals, and algorithms for finding them are outlined.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Math. Comp. 59 (1992), 117-133
- MSC: Primary 65D07; Secondary 41A15
- DOI: https://doi.org/10.1090/S0025-5718-1992-1134736-8
- MathSciNet review: 1134736