OrcaSlicer/src/libigl/igl/grad.h
tamasmeszaros 2ae2672ee9 Building igl statically and moving to the dep scripts
Fixing dep build script on Windows and removing some warnings.

Use bundled igl by default.

Not building with the dependency scripts if not explicitly stated. This way, it will stay in
Fix the libigl patch to include C source files in header only mode.
2019-06-19 14:52:55 +02:00

46 lines
1.6 KiB
C++

// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2013 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_GRAD_MAT_H
#define IGL_GRAD_MAT_H
#include "igl_inline.h"
#include <Eigen/Core>
#include <Eigen/Sparse>
namespace igl {
// GRAD
// G = grad(V,F)
//
// Compute the numerical gradient operator
//
// Inputs:
// V #vertices by 3 list of mesh vertex positions
// F #faces by 3 list of mesh face indices [or a #faces by 4 list of tetrahedral indices]
// uniform boolean (default false) - Use a uniform mesh instead of the vertices V
// Outputs:
// G #faces*dim by #V Gradient operator
//
// Gradient of a scalar function defined on piecewise linear elements (mesh)
// is constant on each triangle [tetrahedron] i,j,k:
// grad(Xijk) = (Xj-Xi) * (Vi - Vk)^R90 / 2A + (Xk-Xi) * (Vj - Vi)^R90 / 2A
// where Xi is the scalar value at vertex i, Vi is the 3D position of vertex
// i, and A is the area of triangle (i,j,k). ^R90 represent a rotation of
// 90 degrees
//
template <typename DerivedV, typename DerivedF>
IGL_INLINE void grad(const Eigen::PlainObjectBase<DerivedV>&V,
const Eigen::PlainObjectBase<DerivedF>&F,
Eigen::SparseMatrix<typename DerivedV::Scalar> &G,
bool uniform = false);
}
#ifndef IGL_STATIC_LIBRARY
# include "grad.cpp"
#endif
#endif