Sketching Piecewise Clothoid Curves

McCrae, James; Singh, Karan

Sketching Piecewise Clothoid Curves

Files

001-008.pdf (902.3 KB)

SBIMvideo_divx-revised.avi (2.29 MB)

Date

2008

Authors

McCrae, James
Singh, Karan

Publisher

The Eurographics Association

Abstract

We present a novel approach to sketching 2D curves with minimally varying curvature as piecewise clothoids. A stable and efficient algorithm fits a sketched piecewise linear curve using a number of clothoid segments with G2 continuity based on a specified error tolerance. Further, adjacent clothoid segments can be locally blended to result in a G3 curve with curvature that predominantly varies linearly with arc length. We also handle intended sharp corners or G1 discontinuities, as independent rotations of clothoid pieces. Our formulation is ideally suited to conceptual design applications where aesthetic fairness of the sketched curve takes precedence over the precise interpolation of geometric constraints. We show the effectiveness of our results within a system for sketch-based road and robot-vehicle path design, where clothoids are already widely used.

        @inproceedings{:10.2312/SBM/SBM08/001-008
,
booktitle = {Eurographics Workshop on Sketch-Based Interfaces and Modeling
},
editor = {Christine Alvarado and Marie-Paule Cani
},
title = {{Sketching Piecewise Clothoid Curves
}},
author = {McCrae, James and 
Singh, Karan
},
year = {2008
},
publisher = {The Eurographics Association
},
ISSN = {1812-3503
},
ISBN = {978-3-905674-07-1
},
DOI = {/10.2312/SBM/SBM08/001-008
}
}