Abstract
The cubic spline sometimes exhibits unnecessary oscillations due to “extraneous” inflection points. In order to eliminate them, it is desirable to intuitively “pull out” these points by increasing tension. This concept was first analytically modeled by Schweikert in [23] and an alternative development was given in [6] and generalized in [19]. A detailed derivation of the generalized form based on a variational principle is given in [1].
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© 2013 Springer-Verlag Berlin Heidelberg
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Barsky, B.A. (2013). The Application of Tension to a Curve. In: Computer Graphics and Geometric Modeling Using Beta-splines. Computer Science Workbench. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72292-9_3
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DOI: https://doi.org/10.1007/978-3-642-72292-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-72294-3
Online ISBN: 978-3-642-72292-9
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