zbMATH — the first resource for mathematics   a & b logic and a
| b logic or !ab logic not abc* right wildcard "ab c" phrase (ab
c) parentheses any anywhere an internal document identifier au
author, editor ai internal author identifier ti title la
language so source ab review, abstract py publication year rv
reviewer cc MSC code ut uncontrolled term Spherical Pythagorean-
hodograph curves. (English) Zbl 0905.65019 Dæhlen, Morten (ed.)
et al., Mathematical methods for curves and surfaces II. 2nd
international conference, Lillehammer, Norway, July 3–8, 1997.
Nashville, TN: Vanderbilt Univ. Press. 485-492 (1998). Summary:
Geometric inversion preserves Pythagorean hodographs.
Stereographic projection, that is, a composition of the three
mappings: translation, inversion and dilatation, maps
Pythagorean hodograph (PH) plane curves onto the unit sphere.
These stereographic image curves are spherical PH curves. The
rotated curves and the geodesic offset curves of a spherical
curve are also spherical PH curves. A grea