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CONNECTEDNESS AND MINIMAL LENGTH ELEMENTS IN SPACES OF BOUNDED CURVATURE PATHS

  • JOSÉ AYALA (a1)
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References

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[1]Backer, J. and Kirkpatrick, D., ‘Bounded-curvature path normalization’, Proc. 18th Canadian Conf. on Computational Geometry (CCCG 2006), Kingston, Ontario, 14–16 August 2006.
[2]Brazil, M., Grossman, P. A., Thomas, D. A., Rubinstein, J. H., Lee, D. and Wormald, N. C., ‘Constrained path optimisation for underground mine layout’, Proc. 2007 Int. Conf. on Applied and Engineering Mathematics (ICAEM’07), London (2007), 856–861.
[3]Chitsaz, H. and La Valle, S., ‘Time-optimal paths for a Dubins airplane’, Proc. 46th IEEE Int. Conf. on Decision and Control (CDC 2007).
[4]Dubins, L., ‘On curves of minimal length with constraint on average curvature, and with prescribed initial and terminal positions and tangents’, Amer. J. Math. 79 (1957), 139155.
[5]Dubins, L., ‘On plane curves with curvature’, Pacific J. Math. 11 (1961), 471481.
[6]Markov, A. A., ‘Some examples of the solution of a special kind of problem on greatest and least quantities’, Soobshch. Karkovsk. Mat. Obshch. 1 (1887), 250276 (in Russian).
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CONNECTEDNESS AND MINIMAL LENGTH ELEMENTS IN SPACES OF BOUNDED CURVATURE PATHS

  • JOSÉ AYALA (a1)

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