@inbook {IOPORT.05715542,
    author       = {Ramamoorthy, Subramanian and Rajagopal, Ram and Ruan, Qing and Wenzel, Lothar},
    title        = {Low-discrepancy curves and efficient coverage of space.},
    year         = {2008},
    booktitle    = {Algorithmic foundation of robotics VII. Selected contributions of the seventh international workshop on the algorithmic foundations of robotics (WAFR 2006), New York, NJ, USA, July 16--18, 2006},
    isbn         = {978-3-540-68404-6},
    pages        = {203-218},
    publisher    = {Berlin: Springer},
    doi          = {10.1007/978-3-540-68405-3_13},
    abstract     = {Summary: 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 admits a diffeomorphism to the unit square. We demonstrate the application of these ideas by presenting concrete examples of low-discrepancy curves on some surfaces that are of interest in robotics.},
    identifier   = {05715542},
}