Embeddings of Surfaces, Curves, and Moving Points in Euclidean Space. Agarwal, P. K., Har-Peled, S., & Yu, H. SIAM J. Comput. (SIAMCOMP), 42(2):442-458, 2013.
Embeddings of Surfaces, Curves, and Moving Points in Euclidean Space [link]Paper  bibtex   
@article{ dblp2387861,
  title = {Embeddings of Surfaces, Curves, and Moving Points in Euclidean Space},
  author = {Pankaj K. Agarwal and Sariel Har-Peled and Hai Yu},
  author_short = {Agarwal, P. K. and Har-Peled, S. and Yu, H.},
  bibtype = {article},
  type = {article},
  year = {2013},
  key = {dblp2387861},
  id = {dblp2387861},
  biburl = {http://www.dblp.org/rec/bibtex/journals/siamcomp/AgarwalHY13},
  url = {http://dx.doi.org/10.1137/110830046},
  journal = {SIAM J. Comput. (SIAMCOMP)},
  pages = {442-458},
  number = {2},
  volume = {42},
  text = {SIAM J. Comput. (SIAMCOMP) 42(2):442-458 (2013)}
}

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