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- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by 3D Display Research Center and Springer-Verlag Berlin Heidelberg
- Subject
- Engineering; Computer Imaging, Vision, Pattern Recognition and Graphics; Signal, Image and Speech Processing; Optics, Optoelectronics, Plasmonics and Optical Devices
- eISSN
- 2092-6731
- DOI
- 10.1007/3DRes.02(2012)6
- Publisher site
- See Article on Publisher Site
Abstract
The C 2 variable degree splines1–3 have been proven to be an efficient tool for solving the curve shape-preserving interpolation problem in two and three dimensions. Based on this representation, the current paper proposes a Hermite interpolation scheme, to construct C 1 shape-preserving splines of variable degree. After this, a slight modification of the method leads to a C 1 shape-preserving Hermite cubic spline. Both methods can easily be developed within a CAD system, since they compute directly (without iterations) the B-spline control polygon. They have been implemented and tested within the DNV Software CAD/CAE system GeniE. [Figure not available: see fulltext.]
Journal
3D Research – Springer Journals
Published: Jun 7, 2012