Motion Planning in Irreducible Path Spaces

  • Posted on: 9 October 2018
  • By: ostasse
TitleMotion Planning in Irreducible Path Spaces
Publication TypeJournal Article
Year of Publication2018
AuthorsOrthey, A, Roussel, O, Stasse, O, Taïx, M
JournalRobotics and Autonomous Systems
KeywordsIrreducible Paths, Motion planning, Serial Kinematic Chain, Swept Volume * Corresponding author

The motion of a mechanical system can be defined as a path through its configuration space. Computing such a path has a computational complexity scaling exponentially with the dimensionality of the configuration space. We propose to reduce the dimensionality of the configuration space by introducing the irreducible path --- a path having a minimal swept volume. The paper consists of three parts: In part I, we define the space of all irreducible paths and show that planning a path in the irreducible path space preserves completeness of any motion planning algorithm. In part II, we construct an approximation to the irreducible path space of a serial kinematic chain under certain assumptions. In part III, we conduct motion planning using the irreducible path space for a mechanical snake in a turbine environment, for a mechanical octopus with eight arms in a pipe system and for the sideways motion of a humanoid robot moving through a room with doors and through a hole in a wall. We demonstrate that the concept of an irreducible path can be applied to any motion planning algorithm taking curvature constraints into account.

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