Open Access
Dec. 2002 Higher dimensional PH curves
Gwang-Il Kim
Proc. Japan Acad. Ser. A Math. Sci. 78(10): 185-187 (Dec. 2002). DOI: 10.3792/pjaa.78.185


After R. T. Farouki introduced, there has been vast researches on Pythagorean Hodograph curves. By the nice property that its velocity function is polynomial/rational, it gives us simpler formulae in computing geometrically driven objects --- offset curve/surface, pipe/canal surface --- which are widely used in CAGD. We present a geometric method to construct PH curves in higher dimensional Euclidean spaces.


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Gwang-Il Kim. "Higher dimensional PH curves." Proc. Japan Acad. Ser. A Math. Sci. 78 (10) 185 - 187, Dec. 2002.


Published: Dec. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1025.65016
MathSciNet: MR1950167
Digital Object Identifier: 10.3792/pjaa.78.185

Primary: 65D17
Secondary: 68U05

Keywords: generalized stereographic projection , normalizer , Pythagorean Hodograph curves

Rights: Copyright © 2002 The Japan Academy

Vol.78 • No. 10 • Dec. 2002
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