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Design and Modeling of a Three-Dimensional Workspace

Snyder, Scott Alan
http://rave.ohiolink.edu/etdc/view?acc_num=case1112875843

Abstract Details

2005, Doctor of Philosophy, Case Western Reserve University, Statistics.
The FES Center, Cleveland, Ohio, conducts research into the use of implantable medical devices designed to expand a spinal cord injured user’s workspace, and augment daily function. The research presented here is to develop and utilize statistical techniques to estimate the workspace achieved when restoring arm control. The workspace properties of interest are quantified by an experimental protocol designed to collect data to evaluate the 3-D reachable workspace and the 3-D controllable, or functional, workspace. Non-parametric and parametric strategies are developed to model the reachable workspace. Within the parametric setting superquadrics are used and confidence bounds for the shapes are presented. The controllable workspace is quantified by collecting spatial binary data, which are the success or failure of a particular task at locations within the reachable workspace. These data are modeled and checked for correspondence with the fitted model. Properties of the model are investigated. A result concerning residuals is presented, along with “jump maps”, a new technique for displaying variation across a map. In fitting models to spatial binary data, difficulties have been observed in properly capturing variance parameters from simulated datasets, when the number of binary observations is not large. Alternative algorithms and models are presented that have competing advantages. A new, promising mixture prior distribution is developed and evaluated. Finally, sequential sampling strategies for binary spatial models are developed. These competing strategies are designed to select the locations where additional observations will be sampled. In a real-time experimental setting, it is necessary to have a strategy that minimizes the amount of computation time. A new strategy is presented that minimizes the amount of computation time spent refitting the model and searching for the next point(s) to sample.
Joseph Sedransk (Advisor)
205 p.
Bayesian; spatial design; binary data; workspace; variance parameters

Recommended Citations

Citations

  • Snyder, S. A. (2005). Design and Modeling of a Three-Dimensional Workspace [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1112875843

    APA Style (7th edition)

  • Snyder, Scott. Design and Modeling of a Three-Dimensional Workspace. 2005. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1112875843.

    MLA Style (8th edition)

  • Snyder, Scott. "Design and Modeling of a Three-Dimensional Workspace." Doctoral dissertation, Case Western Reserve University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=case1112875843

    Chicago Manual of Style (17th edition)

case1112875843
634
© 2005, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.