The complexity of robot motion planning
The complexity of robot motion planning
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Gross motion planning—a survey
ACM Computing Surveys (CSUR)
Robot motion planning: a distributed representation approach
International Journal of Robotics Research
An algorithm for planning collision-free paths among polyhedral obstacles
Communications of the ACM
Robot Motion Planning and Control
Robot Motion Planning and Control
Robot Motion Planning
Optimal Algorithm for Shape from Shading and Path Planning
Journal of Mathematical Imaging and Vision
Rectilinear Paths among Rectilinear Obstacles
ISAAC '92 Proceedings of the Third International Symposium on Algorithms and Computation
PDE-Based Robust Robotic Navigation
CRV '05 Proceedings of the 2nd Canadian conference on Computer and Robot Vision
A streaming narrow-band algorithm: interactive computation and visualization of level sets
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Planning Algorithms
Robot path planning: complexity, flexibility and application scope
PCAR '06 Proceedings of the 2006 international symposium on Practical cognitive agents and robots
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Path planning for mobile robots is a well researched problem for over three decades. In this paper, we test and evaluate a new approach based on Shi and Karl Level Sets for mobile robot path planning. The evolution speed of these level sets is the fastest available implementation of level sets till date that prompted us to test the algorithm in the path planning domain. Level Sets have the advantage that they can support multiple robots and multiple goals in a single framework. This approach is similar to the Pixel Level Snakes but much faster and the resulting paths are different for some obstacle courses using these two approaches. To keep experiments simple we consider a holonomic point robot moving amidst stationary obstacles. The visual results presented in this paper are preliminary and tested in simulations only.