Title of article :
The generalised Cornu spiral and its application to span generation
Author/Authors :
Ali، نويسنده , , J.M. and Tookey، نويسنده , , R.M. and Ball، نويسنده , , J.V. and Ball، نويسنده , , A.A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Pages :
11
From page :
37
To page :
47
Abstract :
A Cornu spiral is a plane curve having a linear curvature profile. This paper considers plane curves having rational linear curvature profiles. These curves are defined to be generalised Cornu spirals (GCS) and are quality curves in the sense that they are continuous and smooth, can contain one inflection at most, and have a bounded and monotonic curvature profile. In addition, the GCS has an extra degree of freedom over the Cornu spiral that is available for shape control. Starting from the intrinsic equation of the GCS, the technique of curve synthesis is used to design a quality curve that can be applied to a wide range of span generation problems.
Keywords :
Generalised Cornu spiral , Span generation , Curve synthesis
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
1999
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1549587
Link To Document :
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