Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Journal of Computational and Applied Mathematics
Approximation of logarithmic spirals
Computer Aided Geometric Design
Planar spirals that match G2 Hermite data
Computer Aided Geometric Design
Designing Bézier conic segments with monotone curvature
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
Computer-Aided Design
G2 cubic transition between two circles with shape control
Journal of Computational and Applied Mathematics
Incenter subdivision scheme for curve interpolation
Computer Aided Geometric Design
Admissible regions for rational cubic spirals matching G2 Hermite data
Computer-Aided Design
A further generalisation of the planar cubic Bézier spiral
Journal of Computational and Applied Mathematics
Shape curvatures of planar rational spirals
Proceedings of the 7th international conference on Curves and Surfaces
Matching admissible G2 Hermite data by a biarc-based subdivision scheme
Computer Aided Geometric Design
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Numerical techniques are used to study parametric Bézier cubics of monotonic curvature, and tools are presented for design applications. Values are computed to aid in the selection of control points for building interpolatory cubic spirals, and a table is developed which helps in adjusting the endpoint curvatures.