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I do not yet have any public code for direct approximation of static (time-independent) Hamilton-Jacobi PDEs, such as those that arise in robotic path planning. However, here are some slides discussing the relationship between path planning and Hamilton-Jacobi PDEs, various classes of algorithms for approximating the resulting PDEs, and a few extensions on which I have worked: Dynamic Programming Algorithms for Planning and Robotics in Continuous Domains and the Hamilton-Jacobi Equation. These slides were presented at the Fast Marching Method: Theoretical Underpinnings and Applications to Robotics tutorial at IROS 2008.
Selected publications
- "Data Logger Technologies for Powered Wheelchairs: A Scoping Review" François Routhier, Josiane Lettre, William C. Miller, Jaimie F. Borisoff, Kate Keetch, Ian M. Mitchell and the CanWheel Research Team Assistive Technology, published online (June, 2017). The published version is available.
- The published version is available.
- "A Formally Verified Safety System for Closed-Loop Anesthesia" Mahdi Yousefi, Klaske van Heusden, Ian M. Mitchell, J. Mark Ansermino and Guy A. Dumont. To appear in Proceedings of the IFAC World Congress, (July, 2017).
- "Clinicians' and Researchers' Perspectives on Manual Wheelchair Data Loggers" François Routhier, Josiane Lettre, William C. Miller, Jaimie F. Borisoff, Kate Keetch, Ian M. Mitchell and the CanWheel Research Team Archives of Physical Medicine and Rehabilitation, volume 98, number 7, pp. 1480-1489 (July, 2017). The published version is available at ScienceDirect.
- The published version is available at ScienceDirect.
- "Output-Feedback Safety-Preserving Control" (accepted version) Mahdi Yousefi, Klaske van Heusden, Ian M. Mitchell and Guy A. Dumont Proceedings of the American Control Conference, pp. 2550-2555 (May, 2017). ©2017 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. IEEE Xplore copy. Slides from the talk.
- ©2017 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
- IEEE Xplore copy.
- Slides from the talk.
- "Intelligent Wheelchair Control Strategies for Older Adults with Cognitive Impairment: User Preferences, Attitudes and Needs" Pooja Viswanathan, Ellen P. Zambalde, Geneviève Foley, Julianne L. Graham, Rosalie H. Wang, Bikram Adhikari, Alan K. Mackworth, Alex Mihailidis, William C. Miller, Ian M. Mitchell Autonomous Robotics, volume 41, number 3, pp. 539-554 (March, 2017). Special issue on Assistive and Rehabilitation Robotics. The published version is available at SpringerLink.
Data verified 9/6/2026Source