tIPTotalVariationFunctional.hh - pism - [fork] customized build of PISM, the parallel ice sheet model (tillflux branch)
  HTML git clone git://src.adamsgaard.dk/pism
   DIR Log
   DIR Files
   DIR Refs
   DIR LICENSE
       ---
       tIPTotalVariationFunctional.hh (2102B)
       ---
            1 // Copyright (C) 2013, 2014, 2015  David Maxwell and Constantine Khroulev
            2 //
            3 // This file is part of PISM.
            4 //
            5 // PISM is free software; you can redistribute it and/or modify it under the
            6 // terms of the GNU General Public License as published by the Free Software
            7 // Foundation; either version 3 of the License, or (at your option) any later
            8 // version.
            9 //
           10 // PISM is distributed in the hope that it will be useful, but WITHOUT ANY
           11 // WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
           12 // FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more
           13 // details.
           14 //
           15 // You should have received a copy of the GNU General Public License
           16 // along with PISM; if not, write to the Free Software
           17 // Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
           18 
           19 #ifndef TOTALVARIATIONFUNCTIONAL_HH_HKBL1T7I
           20 #define TOTALVARIATIONFUNCTIONAL_HH_HKBL1T7I
           21 
           22 #include "IPFunctional.hh"
           23 
           24 namespace pism {
           25 namespace inverse {
           26 
           27 //! Pseduo total variation functional
           28 /*! \f[
           29   J(u) = c\int_\Omega (\epsilon^2+|\nabla u|^2)^{q/2} 
           30   \f]
           31   The parameters \f$c\f$, \f$q\f$ and \f$\epsilon\f$ are provided at construction.  Taking \f$q\f$=1 would
           32   yield a total variation functional, save for the regularizing parameter \f$\epsilon\f$.
           33 */
           34 class IPTotalVariationFunctional2S : public IPFunctional<IceModelVec2S> {
           35 public:
           36   IPTotalVariationFunctional2S(IceGrid::ConstPtr grid, double c, double q, double eps, IceModelVec2Int *dirichletLocations=NULL);
           37 
           38   virtual void valueAt(IceModelVec2S &x, double *OUTPUT);
           39   virtual void gradientAt(IceModelVec2S &x, IceModelVec2S &gradient);
           40 
           41 protected:
           42 
           43   IceModelVec2Int *m_dirichletIndices;
           44   double m_c; // scale parameter.
           45   double m_lebesgue_exp;
           46   double m_epsilon_sq; // Regularization parameter.
           47 
           48 private:
           49   // Hide copy/assignment operations
           50   IPTotalVariationFunctional2S(IPTotalVariationFunctional2S const &);
           51   IPTotalVariationFunctional2S & operator=(IPTotalVariationFunctional2S const &);
           52 };
           53 
           54 } // end of namespace inverse
           55 } // end of namespace pism
           56 
           57 #endif /* end of include guard: TOTALVARIATIONFUNCTIONAL_HH_HKBL1T7I */