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##### The Control Vector Scheme for Design of Planar Primitive PH curves

**Authors:**
Ching-Shoei Chiang,
Sheng-Hsin Tsai,
James Chen

**Abstract:**

**Keywords:**
PH curve,
hodograph,
Bézier curve.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1332208

**References:**

[1] R.T. Farouki, T. Sakkalis, "Pythagrorean Hodographs" IBM J. RES. DEVELOP. VOL 34, No. 5, September 1990.

[2] Farouki,R.T.,1992.Pythagorean-hodograph Curves in Practical Use. In:Barnhill,R.E. (Ed.), Geometry Processing For Design and Manufacturing. SIAM, Philadelphia, p.3-33.

[3] Farouki,R.T.,Neff,1990.Analytic properties of plane offset curves.Computer Aided Geometric Design,7(1-4):83-99.

[4] Moon, H.P., Farouki, R.T., "Construction and shape analysis of PH quintic Hermite interpolants", Computer Aided Geometric Design, 2001, 18, 93-115.

[5] W. L├╝ "Rationality of the offsets to algebraic curves and surfaces", Applied Mathematics, 9 (Ser. B), 265-278.

[6] W. L├╝, "Offset-rational parametric plane curves", Computer-Aided Geometric Design, 12, 601-616, 1995.

[7] K.K.Kubota, "Pythagorean triples in unique factorization domains", American Mathematical Monthly, 79, 503-506, 1972.