Abstract
This paper presents a new fitting method with cubic Bézier curves with a monotone curvature. The slopes at the endpoints are imposed, which allows to generate G 1 -connected curves. The proposed method is based on a parametrization free interpolation scheme, whose study leads to the determination of areas for the intermediate interpolating points, so that the generated curve is convex, close to the data points, with a monotone curvature. Examples of application are presented and discussed.
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© 1999 Springer Science+Business Media Dordrecht
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Prades, G., Mineur, Y., Caenen, J.L., Castelain, J.M. (1999). Piecewise Cubic Interpolation for Reverse Engineering. In: Batoz, JL., Chedmail, P., Cognet, G., Fortin, C. (eds) Integrated Design and Manufacturing in Mechanical Engineering ’98. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9198-0_26
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DOI: https://doi.org/10.1007/978-94-015-9198-0_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5342-8
Online ISBN: 978-94-015-9198-0
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