Curvature extrema of planar parametric polynomial cubic curves

[1]  Dereck S. Meek,et al.  G2 curves composed of planar cubic and Pythagorean hodograph quintic spirals , 1998, Comput. Aided Geom. Des..

[2]  Dereck S. Meek,et al.  Planar G2 curve design with spiral segments , 1998, Comput. Aided Des..

[3]  Gerald E. Farin,et al.  Approximation of logarithmic spirals , 1997, Comput. Aided Geom. Des..

[4]  Dereck S. Meek,et al.  A Pythagorean hodograph quintic spiral , 1996, Comput. Aided Des..

[5]  D. Walton,et al.  A planar cubic Be´zier spiral , 1996 .

[6]  Nicholas S. Sapidis.  Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design , 1994, Designing Fair Curves and Surfaces.

[7]  D. Walton,et al.  Clothoid spline transition spirals , 1992 .

[8]  Gerald Farin,et al.  4. Degree Reduction Fairing of Cubic B-Spline Curves , 1992, Geometry Processing for Design and Manufacturing.

[9]  Robert E. Barnhill,et al.  Geometry Processing for Design and Manufacturing , 1992 .

[10]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[11]  D. Walton,et al.  The use of Cornu spirals in drawing planar curves of controlled curvature , 1989 .

[12]  Richard R. Patterson,et al.  Parametric cubics as algebraic curves , 1988, Comput. Aided Geom. Des..

[13]  D. J. Walton,et al.  Curvature bounds for planar B-spline curve segments , 1988 .

[14]  John H Mathews,et al.  Numerical methods for computer science, engineering, and mathematics , 1986 .

[15]  K G Baass,et al.  THE USE OF CLOTHOID TEMPLATES IN HIGHWAY DESIGN , 1984 .

[16]  C. Y. Wang.  Shape classification of the parametric cubic curve and parametric B-spline cubic curve , 1981 .

[17]  I. Faux,et al.  Computational Geometry for Design and Manufacture , 1979 .