Journal of Computational and Applied Mathematics
G2 curves composed of planar cubic and Pythagorean hodograph quintic spirals
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
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Planar G2 transition curves composed of cubic Bézier spiral segments
Journal of Computational and Applied Mathematics
G2 curve design with a pair of Pythagorean Hodograph quintic spiral segments
Computer Aided Geometric Design
A two-point G1 Hermite interpolating family of spirals
Journal of Computational and Applied Mathematics
G2 cubic transition between two circles with shape control
Journal of Computational and Applied Mathematics
A further generalisation of the planar cubic Bézier spiral
Journal of Computational and Applied Mathematics
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In curve design it is often desirable to match G2 Hermite data with a pair of spirals. An existing method addresses this problem using cubics by first requiring the joint to be placed, and then matching tangents at the joint. It is now shown that an alternative method of first matching tangents, which then determine an interval along a line for placement of the joint, is more convenient and requires less computation.