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Efficient, incremental coverage of space with a continuous curve
2008
Robotica (Cambridge. Print)
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
doi:10.1017/s0263574707004067
fatcat:umne2664wfgyjoijr5ssvkjc2i