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Summary: Modelling a Road Using Spline Interpolation
Kendall Atkinson
Dept of Computer Science
Dept of Mathematics
The University of Iowa
Iowa City, Iowa 52242
February 26, 2002
Abstract
We study the use of cubic spline interpolation to represent the center-
line of a road, for curves in both Ê2
and Ê3
. We look at algorithms to
create a representation based on arc length and evenly spaced nodes along
the centerline. We also consider methods for moving between rectangular
coordinates and coordinates based on distance along the centerline and
the offset from that centerline (in Ê2
) and a related decomposition in Ê3
.
1 Introduction
In road vehicle simulation, we need a way to describe the road. The usual
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