Computational geometry: curve and surface modeling
Computational geometry: curve and surface modeling
Computer-Aided Design
An arc spline approximation to a clothoid
Journal of Computational and Applied Mathematics
Technical section: Smoothing an arc spline
Computers and Graphics
G1 interpolation with a single Cornu spiral segment
Journal of Computational and Applied Mathematics
A two-point G1 Hermite interpolating family of spirals
Journal of Computational and Applied Mathematics
Computer Aided Geometric Design
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The biarc is a curve made by joining two circular arcs in a G^1 fashion. There is a one-parameter family of biarcs that can match given planar, two-point G^1 Hermite data. This note considers the range of G^1 Hermite data that can be matched, identifies the region in which the members of the family of biarcs lie, and shows that there is exactly one member biarc passing through each point in that region.