Solvability of G1 Hermite interpolation by spatial Pythagorean-hodograph cubics and its selection scheme

Authors:
Song-Hwa Kwon
Affiliations:
Department of Mathematics, Seoul National University, Seoul, 151-747, Republic of Korea and Research Institute of Mathematics, Seoul National University, Seoul, 151-747, Republic of Korea
Venue:
Computer Aided Geometric Design
Year:
2010

Citing 4
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Abstract

We provide necessary and sufficient conditions for the existence of solutions of G^1 Hermite interpolation problem by spatial PH cubics. To deal with the cases where multiple solutions exist, we also provide a selection scheme to choose one ''good'' interpolant curve based on the concept of analytic continuation.