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(2018.08.17 16:00pm N202)Chee Yap:Soft Resolution-Exact Path Planning in Robotics: Theory and Practice

Time:2018-08-15  Source:KLMM

Title                  Soft Resolution-Exact Path Planning in Robotics: Theory and Practice

Speaker           Chee Yap,( Courant Institute, NYU)

Time&Venue   2018.08.17  16:00pm  N202

Abstract:           Path planning is a fundamental problem in robotics. We design path planners based on three foundations:
  (1) The notion of ``resolution-exact'' planners.
  (2) Use of ``soft predicates'' to achieve resolution-exactness.
  (3) A feature-based technique for constructing soft predicates.
We formulate an algorithmic framework called ``Soft Subdivision Search'' (SSS) that incorporates these foundation.  There are many parallels between our framework and the well-known Probabilistic Roadmap (PRM) framework.
Both frameworks lead to algorithms that are
 * practical
 * easy to implement
 * flexible and extensible
 * with adaptive and local complexity
But compared to PRM and previous resolution work, SSS confers strong theoretical guarantees, including halting.

In a series of papers starting in 2013, we demonstrated the power of these ideas by producing planners for plane robots with 2, 3 and 4 degrees of freedom (DOFs) that outperform the state-of-art planars based on sampling.  Most recently, we produced planners for two spatial robots (rod and ring) with 5 DOFs that are competitive with state-of-art planners. We unify these by an general axiomatic theory that include subdivision in non-Euclidean configuration spaces, Joint work with  Y.-J.Chiang, B.Curto, J.-M.Lien, Z.Luo, J.P.Ryan, C.Wang, B.Zhou.
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