Motion planning and path planning

One of the fundamental tasks characters have to perform is planning their motions while avoiding collisions with obstacles in the environment. We conduct research on motion planning for two- and three-dimensional rigid bodies and articulated robots moving in known virtual environments.


The Corridor Map Method / Indicative Route Method

Current applications require a path planner that is fast (to ensure real-time interaction with the environment) and flexible (to avoid local hazards). In addition, paths need to be natural, i.e. smooth and short. We propose a new framework, the Corridor Map Method, which meets these requirements.

The CMM/IRM allows flexible path planning: smooth path, short path, obstacle avoidance, coherent groups, path variation and camera path.

Roland Geraerts.
Planning Short Paths with Clearance using Explicit Corridors.
In IEEE International Conference on Robotics and Automation (ICRA2010), 2010.
Full text: [pdf]

Ioannis Karamouzas, Roland Geraerts and Mark Overmars.
Indicative Routes for Path Planning and Crowd Simulation.
In The Fourth International Conference on the Foundations of Digital Games (FDG09), pp. 113-120, 2009.
Full text: [pdf] Presentation: [ppt]

Roland Geraerts and Mark H. Overmars.
The Corridor Map Method: A General Framework for Real-Time High-Quality Path Planning.
In Computer Animation and Virtual Worlds (CAVW), 18: 107-119, 2007.
Full text: [pdf]

Roland Geraerts and Mark H. Overmars.
Enhancing Corridor Maps for Real-Time Path Planning in Virtual Environments.
In Computer Animation and Social Agents (CASA), pp. 64-71, 2008.
Full text: [pdf] Presentation: [ppt]

Mark H. Overmars, Ioannis Karamouzas and Roland Geraerts
Flexible Path Planning Using Corridor Maps.
D. Halperin, K. Mehlhorn (Eds): Algorithms - (ESA) 2008, Springer Lecture Notes in Computer Science (LNCS) 5193, pp. 1-12, 2008.
Full text: [pdf]

Roland Geraerts, Arno Kamphuis, Ioannis Karamouzas and Mark H. Overmars
Using the Corridor Map Method for Path Planning for a Large Number of Characters.
In Motion in Games (MIG'08), Springer Lecture Notes in Computer Science (LNCS) 5277, pp. 11–22, 2008.
Full text: [pdf] Presentation: [ppt]

Roland Geraerts and Mark H. Overmars.
The Corridor Map Method: Real-Time High-Quality Path Planning.
In IEEE International Conference on Robotics and Automation (ICRA'07), pp. 1023-1028, 2007.
Full text: [pdf, ps.gz] Presentation: [ppt]

Roland Geraerts.
Camera Planning in Virtual Environments using the Corridor Map Method.
In The Second International Workshop on Motion in Games (MIG'09), Springer Lecture Notes in Computer Science (LNCS) 5884, pp. 194–209, 2009.
Full text: [pdf]


Comparative studies and analyses

We conduct a comparative study of different techniques that are used in the Probabilistic Roadmap Method. In addition, we give a reachability analysis for sampling based planners which leads to a better understanding of the success of the planners.

Comparative studies and analyses

Roland Geraerts and Mark H. Overmars.
Reachability-based Analysis for Probabilistic Roadmap Planners.
In Journal of Robotics and Autonomous Systems (RAS), 55:824-836, 2007.
Full text: [pdf]

Roland Geraerts and Mark H. Overmars.
Reachability Analysis of Sampling Based Planners.
In IEEE International Conference on Robotics and Automation (ICRA'05), pp. 406-412, 2005.
Full text: [pdf, ps.gz] Presentation: [zip]

Roland Geraerts and Mark H. Overmars.
Sampling and Node Adding in Probabilistic Roadmap Planners.
Journal of Robotics and Autonomous Systems (RAS), 54:165-173, 2006.
Full text: [pdf]

Roland Geraerts and Mark H. Overmars.
Sampling Techniques for Probabilistic Roadmap Planners.
In Conference on Intelligent Autonomous Systems (IAS-8), pp. 600-609, 2004.
Full text: [pdf] Presentation: [ppt]

Roland Geraerts and Mark H. Overmars.
A Comparative Study of Probabilistic Roadmap Planners.
In Proc. Workshop on the Algorithmic Foundations of Robotics (WAFR'02), pp. 43-57, 2002.
Full text: [pdf] Presentation: [ppt]


High-quality paths

We present algorithms that increase the quality of a path. That is, we focus on decreasing the path length and increasing the clearance along a path. The techniques can be applied to a broad range of robots which may reside in arbitrary high-dimensional configuration spaces.

High-quality paths

Roland Geraerts and Mark H. Overmars.
Creating High-Quality Paths for Motion Planning.
In International Journal of Robotics Research (IJRR), 26:845-863, 2007.
Full text: [pdf]

Roland Geraerts and Mark H. Overmars.
On Improving the Clearance for Robots in High-Dimensional Configuration Spaces.
In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'05), pp. 4074-4079, 2005.
Full text: [pdf, ps.gz] Presentation: [ppt]

Roland Geraerts and Mark H. Overmars.
Clearance Based Path Optimization for Motion Planning.
In IEEE International Conference on Robotics and Automation (ICRA'04), pp. 2386-2392, 2004.
Full text: [pdf] Presentation: [ppt]


High-quality roadmaps

The Reachability Roadmap Method is a new and efficient algorithm that creates small roadmaps for two- and three-dimensional problems. The algorithm ensures that a path can always be found if one exists. We extend the algorithm such that short paths and high-clearance paths can be extracted from the roadmap in real-time.

High-quality roadmaps

Roland Geraerts and Mark H. Overmars.
Creating High-quality Roadmaps for Motion Planning in Virtual Environments.
In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'06), pp. 4355-4361, 2006.
Full text: [pdf, ps.gz] Presentation: [ppt]

Roland Geraerts and Mark H. Overmars.
Creating Small Graphs for Solving Motion Planning Problems.
In IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'05), pp. 531-536, 2005.
Full text: [pdf, ps.gz] Presentation: [ppt]


Ph.D. thesis

The thesis deals with comparing and analyzing sampling-based motion planning techniques, in particular variants of the Probabilistic Roadmap Method (PRM). In addition, quality aspects of paths and roadmaps are investigated.

Ph.D. thesis

Roland Geraerts.
Sampling-based Motion Planning: Analysis and Path Quality.
Ph.D. thesis. Utrecht University. 2006.
Full text: [pdf low compression; 11.5MB, pdf high compression; 3MB]


Experimental research

In robotics research, it is often difficult to compare and evaluate techniques experimentally. We identify these difficulties and provides solutions based on our work during the last four years in the field of sampling-based motion planning.

Roland Geraerts.
On Experimental Research in Sampling-based Motion Planning.
In (IROS) Workshop on Benchmarks in Robotics Research, pp. 31-34, 2006.
Full text: [pdf, ps.gz] Lecture notes: [pdf] Presentation: [ppt]


ASCI conference papers

Roland Geraerts and Mark H.Overmars.
On the Analysis and Success of Sampling Based Motion Planning.
In Conference of the Advanced School for Computing and Imaging (ASCI'05), pp. 313-319, 2005.
Full text: [pdf, ps.gz] Poster [pdf]

Roland Geraerts and Mark H. Overmars.
On Improving the Path Quality for Motion Planning.
In Conference of the Advanced School for Computing and Imaging (ASCI'04), pp. 211-217, 2004.
Full text: [pdf]

Last update: February 2, 2010.

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