Locally controllable conic splines with curvature continuity
ACM Transactions on Graphics (TOG)
Hermite interpolation with a pair of spirals
Computer Aided Geometric Design
Geometric Hermite interpolation with maximal order and smoothness
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
Planar G2 Hermite interpolation with some fair, C-shaped curves
Journal of Computational and Applied Mathematics
Coaxing a planar curve to comply
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Planar G2 Hermite interpolation with some fair, C-shaped curves
Journal of Computational and Applied Mathematics
G2 curve design with a pair of Pythagorean Hodograph quintic spiral segments
Computer Aided Geometric Design
High-order approximation of implicit surfaces by G1 triangular spline surfaces
Computer-Aided Design
Technical section: Smoothing an arc spline
Computers and Graphics
Curvature monotony condition for rational quadratic b-spline curves
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
G2 hermite interpolation with curves represented by multi-valued trigonometric support functions
Proceedings of the 7th international conference on Curves and Surfaces
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G2 Hermite data consists of two points, two unit tangent vectors at those points, and two signed curvatures at those points. The planar G2 Hermite interpolation problem is to find a planar curve matching planar G2 Hermite data. In this paper, a C-shaped interpolating curve made of one or two spirals is sought. Such a curve is considered fair because it comprises a small number of spirals. The C-shaped curve used here is made by joining a circular arc and a conic in a G2 manner. A curve of this type that matches given G2 Hermite data can be found by solving a quadratic equation. The new curve is compared to the cubic Bézier curve and to a curve made from a G2 join of a pair of quadratics. The new curve covers a much larger range of the G2 Hermite data that can be matched by a C-shaped curve of one or two spirals than those curves cover.