IBM Journal of Research and Development
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Specifying the arc length of Be´zier curves
Computer Aided Geometric Design
The NURBS book
Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
Prescribing the length of parametric curves
Computer Aided Geometric Design
Planar spirals that match G2 Hermite data
Computer Aided Geometric Design
A generalisation of the Pythagorean hodograph quintic spiral
Journal of Computational and Applied Mathematics
Planar interpolation with a pair of rational spirals
Journal of Computational and Applied Mathematics
On PH quintic spirals joining two circles with one circle inside the other
Computer-Aided Design
G2 Pythagorean hodograph quintic transition between two circles with shape control
Computer Aided Geometric Design
G2 curve design with a pair of Pythagorean Hodograph quintic spiral segments
Computer Aided Geometric Design
Planar interpolation with a pair of rational spirals
Journal of Computational and Applied Mathematics
A two-point G1 Hermite interpolating family of spirals
Journal of Computational and Applied Mathematics
Applying inversion to construct planar, rational spirals that satisfy two-point G2 Hermite data
Computer Aided Geometric Design
On the interpolation of concentric curvature elements
Computer-Aided Design
G2 hermite interpolation with curves represented by multi-valued trigonometric support functions
Proceedings of the 7th international conference on Curves and Surfaces
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
Curvature-sensitive splines and design with basic curves
Computer-Aided Design
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A construction is given for a planar rational Pythagorean hodograph spiral, which interpolates any two-point G^2 Hermite data that a spiral can match. When the curvature at one of the points is zero, the construction gives the unique interpolant that is an involute of a rational Pythagorean hodograph curve of the form cubic over linear. Otherwise, the spiral comprises an involute of a Tschirnhausen cubic together with at most two circular arcs. The construction is by explicit formulas in the first case, and requires the solution of a quadratic equation in the second case.