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Volume 6 Number 1 Pages 91-102
Copyright (C) by the Publisher CAD Solutions, LLC
Interpolating Splines: Which is the fairest of them all?
Raph Levien, Google Inc.
Carlo H. Séquin, University of California, Berkeley
Abstract. Interpolating splines are a basic primitive for designing planar curves. There is a wide diversity in the literature but no consensus on a “best” spline, or even criteria for preferring one spline over another. For the case of G2-continuous splines, we emphasize two properties that can arguably be expected in any definition of “best” and show that any such spline is made from segments cut from a single generator curve, such as the Euler spiral.
Keywords: G2-continuity, interpolating splines, two-parameter splines, extensionality, locality, Euler spirals, aesthetic curves.
DOI: 10.3722/cadaps.2009.91-102
Computer-Aided Design and Applications (ISSN 1686-4360) is an independent, international peer-reviewed technical journal dedicated to the applications of computer-aided design and manufacturing.
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