Introduction to algorithms
Computational geometry in C (2nd ed.)
Computational geometry in C (2nd ed.)
Robot Motion Planning
Functional Optimization for Fair Surface Design
Functional Optimization for Fair Surface Design
From Reeds and Shepp's to continuous-curvature paths
IEEE Transactions on Robotics
Robotics and Computer-Integrated Manufacturing
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In this paper we introduce a roadmap algorithm for generating collision-free paths in terms of cubic B-spline curves for unmanned vehicles used in mining operations. The algorithm automatically generates collision-free paths that are curvature continuous with an upper bounded curvature and a small slope discontinuity of curvature at knots, when we are given the locations of the obstacles, the boundary geometry of the working area, positions and directions of the vehicle at the start, loading, and the goal points. Our algorithm also allows us to find a switch back point where the vehicle reverses its direction to enter the loading area. Examples are provided to demonstrate the effectiveness of the proposed algorithms.