@Article{Kybic-ieeeSP2002a,
  IS = { zkontrolovano 05 Dec 2003 },
  UPDATE  = { 2003-10-17 },
  author =       {Jan Kybic and Thierry Blu and Michael Unser},
  title =        {Generalized sampling: A variational approach. {P}art
                  {I} --- {T}heory},
  year =         {2002},
  month =        {August},
  pages =        {1965--1976},
  journal =      {IEEE Transactions on Signal Processing},
  publisher =    {Institute of Electrical and Electronics Engineers},
  address =      {445 Hoes Lane, Piscataway, U.S.A. },
  issn =         { 1053-5888 },
  volume =       { 50 },
  number =       { 8 },
  authorship =   {50-40-10 },
  annote =       {We consider the problem of reconstructing
                  a~multidimensional vector function from a~finite set
                  of linear measures. These can be irregularly sampled
                  responses of several linear filters. Traditional
                  approaches reconstruct in an~a~priori given space;
                  e.g., the space of bandlimited functions. Instead,
                  we have chosen to specify a~reconstruction that is
                  optimal in the sense of a~quadratic plausibility
                  criterion $J$. First, we present the solution of the
                  generalized interpolation problem. Later, we
                  consider also the approximation problem and we show
                  that both lead to the same class of solutions. },
  keywords =     { sampling, reconstruction, variational criterion,
                  thin-plate splines },
  project =      { epfl_kybic_thesis},
  psurl =        { [Pdf,210kB] },
  url =          {ftp://cmp.felk.cvut.cz/pub/cmp/articles/kybic/Kybic-ieeeSP2002a.pdf},
}