A note on finding clothoids

Journal of Computational and Applied Mathematics

Volumn 170, Issue 2-2, 2004, Pages 433-453

  Meek, D S ^a   Walton, D J ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

Clothoids; Transition curves

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; RAILROAD TRANSPORTATION;

CLOTHOIDS; RAILWAY ROUTE DESIGN;

HIGHWAY BRIDGES;

MATHEMATICAL ANALYSIS;

EID: 3042634124     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.12.047     Document Type: Article

References (13)

1. Abramowitz M. Stegun I.A. Handbook of Mathematical Functions 1965 Dover Publications, Inc. NY
2. Baass K.G. The use of clothoid templates in highway design Transportation Forum 1 1984 47-52
3. Buchanan J.L. Turner P.R. Numerical Methods and Analysis 1992 McGraw-Hill, Inc. New York
4. Guggenheimer H.W. Differential Geometry 1963 McGraw-Hill, Inc. New York
5. Hartman P. The highway spiral for combining curves of different radii Trans. Amer. Soc. Civil Engng. 122 1957 389-409
6. M.A. Heald, Rational approximations for the Fresnel integral, Math. Comp. 44 (1985) 459-461;46 (1986) 771.
7. Hickerson T.F. Route Location and Design 1964 McGraw-Hill Book Company New York
8. Meek D.S. Walton D.J. The use of Cornu spirals in drawing planar curves of controlled curvature J. Comput. Appl. Math. 25 1989 69-78
9. Meek D.S. Walton D.J. Clothoid spline transition spirals Math. Comp. 59 1992 117-133
10. D.S. Meek, D.J. Walton, An arc spline approximation to a clothoid, J. Comput. Appl. Math. November 2003, in press
11. Press W.H. Teukolsky S.A. Vetterling W.T. Flannery B.P. Numerical Recipes in C 2nd Edition 1992 Cambridge University Press Cambridge, England
12. Sánchez-Reyes J. Chacón J.M. Polynomial approximation to clothoids via s-power series Comput.-Aided Des. 35 2003 1305-1313
13. Wang L.Z. Miura K.T. Nakamae E. Yamamoto T. Wang T.J. An approximation approach of the clothoid curve defined in the interval [0, π/2] and its offset by free-form curves Comput.-Aided Des. 33 2001 1049-1058