Higher dimensional PH curves
Kim, Gwang-Il
Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 185-187 / Harvested from Project Euclid
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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.
Publié le : 2002-12-14
Classification:  Pythagorean Hodograph curves,  normalizer,  generalized stereographic projection,  65D17,  68U05 
@article{1148392268,
     author = {Kim, Gwang-Il},
     title = {Higher dimensional PH curves},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 185-187},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392268}
}

Kim, Gwang-Il. Higher dimensional PH curves. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  185-187. http://gdmltest.u-ga.fr/item/1148392268/