Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Journal of Computational and Applied Mathematics
Inflection points and singularities on planar rational cubic curve segments
Computer Aided Geometric Design
Computer Aided Geometric Design
Curvature extrema of planar parametric polynomial cubic curves
Journal of Computational and Applied Mathematics
Planar G2 transition curves composed of cubic Bézier spiral segments
Journal of Computational and Applied Mathematics
Interpolation with cubic spirals
Computer Aided Geometric Design
Geometric modeling: techniques, applications, systems and tools
Geometric modeling: techniques, applications, systems and tools
On PH quintic spirals joining two circles with one circle inside the other
Computer-Aided Design
G2 Pythagorean hodograph quintic transition between two circles with shape control
Computer Aided Geometric Design
Transition between concentric or tangent circles with a single segment of G2 PH quintic curve
Computer Aided Geometric Design
Technical section: A controlled clothoid spline
Computers and Graphics
Technical section: Rational cubic spline interpolation with shape control
Computers and Graphics
Cubic Bézier spiral segments for planar G2 curve design
Proceedings of the 7th International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa
A further generalisation of the planar cubic Bézier spiral
Journal of Computational and Applied Mathematics
Fitting G2 multispiral transition curve joining two straight lines
Computer-Aided Design
G2 hermite interpolation with curves represented by multi-valued trigonometric support functions
Proceedings of the 7th international conference on Curves and Surfaces
Computer Aided Geometric Design
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This paper describes a method for joining two circles with an S-shaped or with a broken back C-shaped transition curve, composed of at most two spiral segments. In highway and railway route design or car-like robot path planning, it is often desirable to have such a transition. It is shown that a single cubic curve can be used for blending or for a transition curve preserving G^2 continuity with local shape control parameter and more flexible constraints. Provision of the shape parameter and flexibility provide freedom to modify the shape in a stable manner which is an advantage over previous work by Meek, Walton, Sakai and Habib.