Abstract
Requirements for shape preserving interpolation by space curves are discussed and earlier work is mentioned. Then we describe two new local schemes using rational cubics. Both ensure continuity of the tangent directions and magnitudes of the curvatures, while the second gives curves with continuous osculating planes.
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References
Goodman, T. N. T.: Inflections on Curves in Two and Three Dimensions. Computer Aided Geometric Design 8 (1991), 37–51.
Goodman, T. N. T.: Shape Preserving Interpolation by Planar Curves. In this volume.
Goodman, T. N. T., Ong, B. H.: Shape Preserving Interpolation by Space Curves. University of Dundee Report AA/963 (1996).
Goodman, T. N. T., Ong, B. H.: Shape Preserving Interpolation by G 2 Space Curves. University of Dundee Report AA/964 (1996).
Kaklis, P. D., Sapidis, N. S.: Convexity-Preserving Interpolatory Parametric Splines of Non-Uniform Degree. Computer Aided Geometric Design 12 (1995), 1–26.
Kaklis, P. D., Karavelas, M. I.: Shape-Preserving Interpolation in R 3. Submitted to Computer Aided Geometric Design.
Labenski, C., Piper, B.: Coils. To appear in Computer Aided Geometric Design.
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© 1996 B. G. Teubner Stuttgart
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Goodman, T., Ong, BH. (1996). Shape Preserving Interpolation by Curves in Three Dimensions. In: Hoschek, J., Kaklis, P.D. (eds) Advanced Course on FAIRSHAPE. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82969-6_4
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DOI: https://doi.org/10.1007/978-3-322-82969-6_4
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-519-02634-1
Online ISBN: 978-3-322-82969-6
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