@InProceedings{Kukelova-etal-3DV-2013-InProceedings,
  IS = { zkontrolovano 25 Jan 2014 },
  UPDATE  = { 2014-01-06 },
  author =     {Kukelova, Zuzana and Bujnak, Martin and Pajdla, Tomas},
  title =      {Fast and Stable Algebraic Solution to L2 Three-View Triangulation},
  year =       {2013},
  pages =      {326-333},
  booktitle =  {3DV 2013 -- International Conference on 3D Vision},
  editor =     {Juan E. Guerrero},
  publisher = {IEEE Computer Society Press},
  address = {Los Alamitos, USA},
  organization = {IEEE Computer Society},
  isbn =       {978-0-7695-5067-1},
  book_pages = {446},
  year_of_conference = {2013},
  month =      {June},
  day =        {29-30},
  venue =      {Seattle, USA},
  prestige =   {international},
  annote =     {In this paper we provide a new fast and stable
                  algebraic solution to the problem of L2
                  triangulation from three views. We use Lagrange
                  multipliers to formulate the search for the minima
                  of the L2 objective function subject to equality
                  constraints. Interestingly, we show that by relaxing
                  the triangulation such that we do not require a
                  single point in 3D, we get, after a linear
                  correction, a solver that is faster, more stable and
                  practically as accurate as the state-of-the-art
                  L2-optimal algebraic solvers [24, 7, 8, 9]. In our
                  formulation, we obtain a system of eight polynomial
                  equations in eight unknowns, which we solve using
                  the Groebner basis method. We get less (31)
                  solutions than was the number (47-66) of solutions
                  obtained in [24, 7, 8, 9] and our solver is more
                  robust than [8, 9] w.r.t. critical
                  configurations. We evaluate the precision and speed
                  of our solver on both synthetic and real datasets.},
  keywords =   {triangulation, Groebner basis, L2 three-view triangulation},
  authorship =  {34-33-33},
  psurl       = {http://cmp.felk.cvut.cz/~kukelova/publications/Kukelova-Bujnak-Pajdla-3dv-2013.pdf},
  project =     {FP7-SME-2011-285839 De-Montes, TACR TA02011275 ATOM},
  doi={10.1109/3DV.2013.50},
}