Continuity conditions for spline curves
Open Access
- 1 January 1974
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 17 (2) , 181-186
- https://doi.org/10.1093/comjnl/17.2.181
Abstract
The conditions for continuity of direction and curvature at a knot in a vector-valued spline are derived. A method of normalising tangent vector magnitudes at knots is suggested. Many examples are displayed of closed spline curves constructed to pass through a series of knots, continuous in slop and curvature, with the segments normalised. Some of the figures represent shoe components; all the figures generated are acceptable, whether or not the defining knots are evenly spaced.Keywords
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