See this document in CiteSeerX!

Low-Discrepancy Curves and Efficient Coverage of Space (2006)  (Make Corrections)  (1 citation)
Subramanian Ramamoorthy, Ram Rajagopal, Qing Ruan, Lothar Wenzel



  Home/Search   Context   Related

 
View or download:
utexas.edu/~ramamoor/wafr06_ldc.pdf
Cached:  PDF   PS.gz  PS  Image  Update  Help

From:  utexas.edu/~ramamoor/pubs (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: We introduce the notion of low-discrepancy curves and use it to solve the problem of optimally covering space. In doing so, we extend the notion of low-discrepancy sequences in such a way that sufficiently smooth curves with low discrepancy properties can be defined and generated. Based on a class of curves that cover the unit square in an efficient way, we define induced low discrepancy curves in Riemannian spaces. This allows us to efficiently cover an arbitrarily chosen abstract surface that ... (Update)

Cited by:   More
Parametrization and Computations in Shape - Spaces With Area   (Correct)

Active bibliography (related documents):   More   All
0.8:   Planning Algorithms - LaValle (2004)   (Correct)
0.5:   Low-discrepancy Lattice Sets and QMC Integration - Franek (2002)   (Correct)
0.5:   Qualitative Hybrid Control of Dynamic Bipedal Walking - Ramamoorthy, al. (2006)   (Correct)

Similar documents based on text:
6.0:   Unknown -   (Correct)

BibTeX entry:   (Update)

S. Ramamoorthy, R. Rajagopal, Q. Ruan, L. Wenzel, Low-discrepancy curves and efficient coverage of space. In Algorithmic Foundations of Robotics VII, 2006. http://citeseer.ist.psu.edu/ramamoorthy06lowdiscrepancy.html   More

@misc{ ramamoorthy06lowdiscrepancy,
  author = "S. Ramamoorthy and R. Rajagopal and Q. Ruan and L. Wenzel",
  title = "Low-discrepancy curves and efficient coverage of space",
  text = "S. Ramamoorthy, R. Rajagopal, Q. Ruan, L. Wenzel, Low-discrepancy curves
    and efficient coverage of space. In Algorithmic Foundations of Robotics
    VII, 2006.",
  year = "2006",
  url = "citeseer.ist.psu.edu/ramamoorthy06lowdiscrepancy.html" }
Citations (may not include all citations):
439   An Introduction to the Theory of Numbers (context) - Hardy, Wright - 1980
309   Random Number Generation and Quasi-Monte Carlo Methods (context) - Niederreiter - 1992
185   Numerical Recipes in C: The Art of Scientific Computing (context) - Press, Teukolsky et al. - 1992
173   Monte Carlo Methods (context) - Hammersly, Handscomb - 1964
39   The distribution of points in a cube and the approximate eva.. (context) - Sobol' - 1967
27   Quasi-random sequences and their discrepancies - Morokoff, Caflisch - 1994
23   Modern Differential Geometry Of Curves And Surfaces With Mat.. (context) - Gray - 1998
21   the relationship between classical grid search and probabili.. - LaValle, Branicky et al. - 2004
18   the efficiency of certain quasi-random sequences of points i.. (context) - On - 1960
10   Incremental low-discrepancy lattice methods for motion plann.. - Lindemann, LaValle - 2003
9   Coverage for robotics - A survey of recent results (context) - Choset - 2001
6   Computational investigations of low-discrepancy sequences (context) - Kocis, Whiten - 1997
6   Multidimensional sampling for simulation and integration: me.. (context) - James, Hoogland et al. - 1997
4   Geometry from a Differentiable Viewpoint (context) - McCleary - 1995
2   Geometric Discrepancy: An Illustrated Guide (context) - sek - 1999
2   Incremental grid sampling strategies in robotics - Lindemann, Yershova et al. - 2004
2   Hamiltonian Chaos and Fractional Dynamics (context) - Zaslavsky - 2005
1   Exact robot navigation using artifical potential functions (context) - Rimon, Koditschek - 1992
1   A Non-random Sampling Method (context) - Richtmyer - 1958
1   The evaluation of definite integrals (context) - Richtmyer - 1951

Documents on the same site (http://www.ece.utexas.edu/~ramamoor/pubs.html):   More
Parametrization and Computations in Shape - Spaces With Area   (Correct)
Qualitative Hybrid Control of Dynamic Bipedal Walking - Ramamoorthy, al. (2006)   (Correct)
Designing Safe, Profitable Automated Stock Trading - Agents Using Evolutionary (2006)   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC