An approximation approach of the clothoid curve defined in the interval [0, π/2] and its offset by free-form curves

CAD Computer Aided Design

Volumn 33, Issue 14, 2001, Pages 1049-1058

  Wang, L Z ^a   Miura, K T ^a   Nakamae, E ^b   Yamamoto, T ^b   Wang, T J ^c  

^a SHIZUOKA UNIVERSITY   (Japan)

^b 3 26 Hiroshima Maple Building 4F   (Japan)

^c Raindrop Geomagic   (United States)

Author keywords

B zier curve; Clothoid curve; NURBS curve

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER AIDED DESIGN; COMPUTER AIDED MANUFACTURING; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS;

CLOTHOID CURVES;

CURVES (ROAD);

EID: 0035546277     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(00)00142-1     Document Type: Article

References (15)

1. The use of clothoid templates in highway design
2. The highway spiral for combining curves of different radii
3. Computation of Fresnel integrals
4. Chebyshev approximation for Fresnel integrals
5. Rational approximation for the Fresnel integrals
6. The use of Cornu spirals in drawing planar curves of controlled curvature
7. Curve fitting with clothoid splines
8. 2 curve design with spiral segments
9. 2 curve composed of planar cubic and Pythagorean hodograph quintic spirals
10. A planar cubic Bézier spiral
11. A Pythagorean hodograph quintic spiral
12. Pythagorean-hodograph quintic transition curves of monotone curvature
13. Unit quaternion integral curve: A new type of fair free-form curves
14. Optimal approximate conversion of spline curves and spline approximation of offset curves
15. Approximate conversion of spline curves