Paper Info
Title
C-D Hermite Interpolations With Spatial Pythagorean Hodograph B-Splines
Abstract
Following the recent results of Albrecht et al. (2017, 2020), the problem of Hermite interpolation by clamped spatial Pythagorean hodograph (PH) B-spline curves is thoroughly investigated in this paper. The constructed interpolants are obtained by using beneficial properties of B-spline basis functions and via solving special quadratic and linear equations in quaternion algebra. All the designed procedures are purely symbolic and the main contribution lies in the unifying approach to the formulated problem. The results are confirmed by several computed examples.(C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.cagd.2021.101992
COMPUTER AIDED GEOMETRIC DESIGN
Keywords
DocType
Volume
Hermite interpolation, Spatial Pythagorean hodograph curves, B-spline curves, Quaternions
Journal
87
ISSN
Citations 
PageRank 
0167-8396
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Michal Bizzarri1518.12
Miroslav LáVičKa215811.36
Jan VršEk3267.49