First order hermite interpolation with spherical Pythagorean-hodograph curves

• Published in: Journal of applied mathematics & computing Vol. 23; no. 1-2; pp. 73 - 86
• Main Authors: Kim, Gwang-Il, Kong, Jae-Hoon, Lee, Sunhong
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Nature B.V 01.01.2007
• Subjects: Computational mathematics; Construction; Interpolation; Inverse; Mapping; Mathematical models; Projection; Representations; Studies

The general stereographic projection which maps a point on a sphere with arbitrary radius to a point on a plane stereographically and its inverse projection have the Pythagorean-hodograph (PH) preserving property in the sense that they map a PH curve to another PH curve. Upon this fact, for given sp...