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+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2017 Adrian Kummerlaender
+ *  E-mail contact: info@openlb.net
+ *  The most recent release of OpenLB can be downloaded at
+ *  <http://www.openlb.net/>
+ *
+ *  This program is free software; you can redistribute it and/or
+ *  modify it under the terms of the GNU General Public License
+ *  as published by the Free Software Foundation; either version 2
+ *  of the License, or (at your option) any later version.
+ *
+ *  This program is distributed in the hope that it will be useful,
+ *  but WITHOUT ANY WARRANTY; without even the implied warranty of
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ *  GNU General Public License for more details.
+ *
+ *  You should have received a copy of the GNU General Public
+ *  License along with this program; if not, write to the Free
+ *  Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ *  Boston, MA  02110-1301, USA.
+*/
+
+#ifndef HYPERPLANE_LATTICE_3D_H
+#define HYPERPLANE_LATTICE_3D_H
+
+#include "core/vector.h"
+#include "geometry/cuboidGeometry3D.h"
+#include "hyperplane3D.h"
+
+namespace olb {
+
+/// Parametrization of a hyperplane lattice.
+/**
+ * i.e. the resolution / grid width of the discretization of a given hyperplane.
+ *
+ * This class provides a common interface for describing how to discretize the intersection
+ * of a hyperplane given by Hyperplane3D<T> and the mother cuboid of CuboidGeometry3D<T>.
+ **/
+template <typename T>
+class HyperplaneLattice3D {
+private:
+  /// \return max possible distance
+  int computeMaxLatticeDistance(Cuboid3D<T>&& cuboid) const;
+  /// Compute _hyperplane.origin, _nx, _ny so that the cuboid is right inside the geometry
+  void constructCuboid(CuboidGeometry3D<T>& geometry, int maxLatticeDistance);
+  /// Update _h, _nx, _ny, _hyperplane.(u,v) so that the longest side length matches the given resolution
+  void setToResolution(int resolution);
+
+protected:
+  const Hyperplane3D<T> _hyperplane;
+
+  /// Origin vector of the lattice
+  /**
+   * Note that this origin is set to a outermost point of the intersection between
+   * cuboid geometry and hyperplane. Thus it is different from the Hyperplane3D<T>
+   * origin vector in the general case.
+   **/
+  Vector<T,3> _origin;
+  /// Span vector of the lattice, normalized to grid width _h
+  Vector<T,3> _u;
+  /// Span vector of the lattice, normalized to grid width _h
+  Vector<T,3> _v;
+
+  /// Distance between discrete lattice points
+  T _h;
+  /// Number of lattice points in the direction of _u
+  int _nx;
+  /// Number of lattice points in the direction of _v
+  int _ny;
+
+public:
+  /// Constructor for automatic discretization.
+  /**
+   * i.e. the grid width is set to CuboidGeometry3D<T>::getMinDeltaR.
+   **/
+  HyperplaneLattice3D(CuboidGeometry3D<T>& geometry,
+                      Hyperplane3D<T>      hyperplane);
+  /// Constructor for discretization of a given resolution.
+  HyperplaneLattice3D(CuboidGeometry3D<T>& geometry,
+                      Hyperplane3D<T>      hyperplane,
+                      int                  resolution);
+  /// Constructor for discretization of a given grid width.
+  HyperplaneLattice3D(CuboidGeometry3D<T>& geometry,
+                      Hyperplane3D<T>      hyperplane,
+                      T                    h);
+
+  /// Constructor for manual discretization
+  /**
+   * \param hyperplane Hyperplane in 3D space
+   * \param h          lattice point spacing
+   * \param nx         X axis resolution
+   * \param ny         Y axis resolution
+   **/
+  HyperplaneLattice3D(Hyperplane3D<T> hyperplane,
+                      T h, int nx, int ny);
+
+  HyperplaneLattice3D(const HyperplaneLattice3D&) = default;
+
+  const Hyperplane3D<T>& getHyperplane() const;
+
+  /// Transform 2d lattice coordinates to their physical 3d location
+  Vector<T,3> getPhysR(const int& planeX, const int& planeY) const;
+
+  /// \return _nx
+  int getNx() const;
+  /// \return _ny
+  int getNy() const;
+  /// \return _h
+  T getPhysSpacing() const;
+
+  /// \return _origin
+  Vector<T,3> getPhysOrigin() const;
+  /// \return _u
+  Vector<T,3> getVectorU() const;
+  /// \return _v
+  Vector<T,3> getVectorV() const;
+
+};
+
+}
+
+#endif