Merged branch 'dev_native' into lm_sla_supports_auto

Added igl library files

src/igl/per_vertex_point_to_plane_quadrics.h

@@ -0,0 +1,53 @@
+// This file is part of libigl, a simple c++ geometry processing library.
+// 
+// Copyright (C) 2016 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_PER_VERTEX_POINT_TO_PLANE_QUADRICS_H
+#define IGL_PER_VERTEX_POINT_TO_PLANE_QUADRICS_H
+#include "igl_inline.h"
+#include <Eigen/Core>
+#include <vector>
+#include <tuple>
+namespace igl
+{
+  // Compute quadrics per vertex of a "closed" triangle mesh (V,F). Rather than
+  // follow the qslim paper, this implements the lesser-known _follow up_
+  // "Simplifying Surfaces with Color and Texture using Quadric Error Metrics".
+  // This allows V to be n-dimensional (where the extra coordiantes store
+  // texture UVs, color RGBs, etc.
+  //
+  // Inputs:
+  //   V  #V by n list of vertex positions. Assumes that vertices with
+  //     infinite coordinates are "points at infinity" being used to close up
+  //     boundary edges with faces. This allows special subspace quadrice for
+  //     boundary edges: There should never be more than one "point at
+  //     infinity" in a single triangle.
+  //   F  #F by 3 list of triangle indices into V
+  //   E  #E by 2 list of edge indices into V.
+  //   EMAP #F*3 list of indices into E, mapping each directed edge to unique
+  //     unique edge in E
+  //   EF  #E by 2 list of edge flaps, EF(e,0)=f means e=(i-->j) is the edge of
+  //     F(f,:) opposite the vth corner, where EI(e,0)=v. Similarly EF(e,1) "
+  //     e=(j->i)
+  //   EI  #E by 2 list of edge flap corners (see above).
+  // Outputs:
+  //   quadrics  #V list of quadrics, where a quadric is a tuple {A,b,c} such
+  //     that the quadratic energy of moving this vertex to position x is
+  //     given by x'Ax - 2b + c
+  //
+  IGL_INLINE void per_vertex_point_to_plane_quadrics(
+    const Eigen::MatrixXd & V,
+    const Eigen::MatrixXi & F,
+    const Eigen::MatrixXi & EMAP,
+    const Eigen::MatrixXi & EF,
+    const Eigen::MatrixXi & EI,
+    std::vector<
+      std::tuple<Eigen::MatrixXd,Eigen::RowVectorXd,double> > & quadrics);
+}
+#ifndef IGL_STATIC_LIBRARY
+#  include "per_vertex_point_to_plane_quadrics.cpp"
+#endif
+#endif