The use of Cornu spirals in drawing planar curves of controlled curvature
Journal of Computational and Applied Mathematics
Offset curves of clothoidal splines
Computer-Aided Design
Computer Aided Geometric Design
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Applications of b-spline approximation to geometric problems of computer-aided design.
Applications of b-spline approximation to geometric problems of computer-aided design.
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
G1 interpolation with a single Cornu spiral segment
Journal of Computational and Applied Mathematics
G2 cubic transition between two circles with shape control
Journal of Computational and Applied Mathematics
Proceedings of Graphics Interface 2009
Sketch-Based Interfaces and Modeling (SBIM): Sketching piecewise clothoid curves
Computers and Graphics
Technical section: Smoothing an arc spline
Computers and Graphics
3D Euler spirals for 3D curve completion
Proceedings of the twenty-sixth annual symposium on Computational geometry
3D Euler spirals for 3D curve completion
Computational Geometry: Theory and Applications
Technical Section: Euler arc splines for curve completion
Computers and Graphics
Sketching piecewise clothoid curves
SBM'08 Proceedings of the Fifth Eurographics conference on Sketch-Based Interfaces and Modeling
Curvature-sensitive splines and design with basic curves
Computer-Aided Design
SMI 2013: Curvature-controlled curve editing using piecewise clothoid curves
Computers and Graphics
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A clothoid has the property that its curvature varies linearly with arclength. This is a useful feature for the path of a vehicle whose turning radius is controlled as a linear function of the distance travelled. Highways, railways and the paths of car-like robots may be composed of straight line segments, clothoid segments and circular arcs. Control polylines are used in computer aided design and computer aided geometric design applications to guide composite curves during the design phase. This article examines the use of a control polyline to guide a curve composed of segments of clothoids, straight lines, and circular arcs.