Abstract
The task of fairing a curve interpolating a given point data set and potentially given end conditions by minimizing an explicit fairness measure is discussed from the viewpoint of the resulting curve quality. Results are compared for different choices of a fairness criteria applied to a variety of data sets. The improvements achievable by going from integer to rational cubic B-spline curves are examined in particular. Fairness quality can be raised both by lessening the constraints and by increasing the freedoms in curve representation.
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© 1996 B. G. Teubner Stuttgart
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Nowacki, H., Heimann, J., Melissaratos, E., Zimmermann, SH. (1996). Experiences in Curve Fairing. In: Hoschek, J., Kaklis, P.D. (eds) Advanced Course on FAIRSHAPE. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82969-6_1
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DOI: https://doi.org/10.1007/978-3-322-82969-6_1
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-519-02634-1
Online ISBN: 978-3-322-82969-6
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