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Informatics Report Series
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| Title:Efficient, incremental coverage of space with a continuous curve |
| Authors:
Subramanian Ramamoorthy
; Ram Rajagopal
; Lothar Wenzel
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| Date:Jul 2008 |
| Publication Title:Robotica |
| Publisher:Cambridge University Press |
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Publication Type:Journal Article
Publication Status:Published
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Volume No:26
Page Nos:503-512
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DOI:10.1017/S0263574707004067
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- Abstract:
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This paper is concerned with algorithmic techniques for the incremental generation of continuous curves that can efficiently cover an abstract surface. We introduce the notion of low-discrepancy curves as an extension of the notion of low-discrepancy sequences such that sufficiently smooth curves with low-discrepancy properties can be defined and generated. We then devise a procedure for lifting these curves, that efficiently cover the unit cube, to abstract surfaces, such as nonlinear manifolds. We present algorithms that yield suitable fair mappings between the unit cube and the abstract surface. We demonstrate the application of these ideas using some concrete examples of interest in robotics.
- Links To Paper
- 1st Link
- Bibtex format
- @Article{EDI-INF-RR-1278,
- author = {
Subramanian Ramamoorthy
and Ram Rajagopal
and Lothar Wenzel
},
- title = {Efficient, incremental coverage of space with a continuous curve},
- journal = {Robotica},
- publisher = {Cambridge University Press},
- year = 2008,
- month = {Jul},
- volume = {26},
- pages = {503-512},
- doi = {10.1017/S0263574707004067},
- url = {http://journals.cambridge.org/action/displayAbstract?aid=1949816},
- }
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