Merged branch 'dev_native' into lm_sla_supports_auto

Added igl library files

src/igl/planarize_quad_mesh.h

@@ -0,0 +1,46 @@
+// This file is part of libigl, a simple c++ geometry processing library.
+// 
+// Copyright (C) 2015 Alec Jacobson <alecjacobson@gmail.com>
+// 
+// This Source Code Form is subject to the terms of the Mozilla Public License 
+// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
+// obtain one at http://mozilla.org/MPL/2.0/.
+#ifndef IGL_PLANARIZE_QUAD_MESH_H
+#define IGL_PLANARIZE_QUAD_MESH_H
+#include "igl_inline.h"
+#include <Eigen/Core>
+namespace igl
+{
+  // Planarizes a given quad mesh using the algorithm described in the paper
+  // "Shape-Up: Shaping Discrete Geometry with Projections" by S. Bouaziz,
+  // M. Deuss, Y. Schwartzburg, T. Weise, M. Pauly, Computer Graphics Forum,
+  // Volume 31, Issue 5, August 2012, p. 1657-1667
+  // (http://dl.acm.org/citation.cfm?id=2346802).
+  // The algorithm iterates between projecting each quad to its closest planar
+  // counterpart and stitching those quads together via a least squares
+  // optimization. It stops whenever all quads' non-planarity is less than a
+  // given threshold (suggested value: 0.01), or a maximum number of iterations
+  // is reached.
+
+  
+  // Inputs:
+  //   Vin        #V by 3 eigen Matrix of mesh vertex 3D positions
+  //   F          #F by 4 eigen Matrix of face (quad) indices
+  //   maxIter    maximum numbers of iterations
+  //   threshold  minimum allowed threshold for non-planarity
+  // Output:
+  //   Vout       #V by 3 eigen Matrix of planar mesh vertex 3D positions
+  //
+  
+  template <typename DerivedV, typename DerivedF>
+  IGL_INLINE void planarize_quad_mesh(const Eigen::PlainObjectBase<DerivedV> &Vin,
+                                      const Eigen::PlainObjectBase<DerivedF> &F,
+                                      const int maxIter,
+                                      const double &threshold,
+                                      Eigen::PlainObjectBase<DerivedV> &Vout);
+}
+#ifndef IGL_STATIC_LIBRARY
+#  include "planarize_quad_mesh.cpp"
+#endif
+
+#endif