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58 lines
1.5 KiB
C++
58 lines
1.5 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2014 Daniele Panozzo <daniele.panozzo@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#include "frame_to_cross_field.h"
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#include <igl/local_basis.h>
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#include <igl/dot_row.h>
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IGL_INLINE void igl::frame_to_cross_field(
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const Eigen::MatrixXd& V,
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const Eigen::MatrixXi& F,
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const Eigen::MatrixXd& FF1,
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const Eigen::MatrixXd& FF2,
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Eigen::MatrixXd& X)
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{
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using namespace Eigen;
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// Generate local basis
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MatrixXd B1, B2, B3;
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igl::local_basis(V,F,B1,B2,B3);
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// Project the frame fields in the local basis
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MatrixXd d1, d2;
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d1.resize(F.rows(),2);
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d2.resize(F.rows(),2);
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d1 << igl::dot_row(B1,FF1), igl::dot_row(B2,FF1);
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d2 << igl::dot_row(B1,FF2), igl::dot_row(B2,FF2);
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X.resize(F.rows(), 3);
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for (int i=0;i<F.rows();i++)
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{
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Vector2d v1 = d1.row(i);
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Vector2d v2 = d2.row(i);
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// define inverse map that maps the canonical axis to the given frame directions
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Matrix2d A;
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A << v1[0], v2[0],
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v1[1], v2[1];
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// find the closest rotation
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Eigen::JacobiSVD<Matrix<double,2,2> > svd(A, Eigen::ComputeFullU | Eigen::ComputeFullV );
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Matrix2d C = svd.matrixU() * svd.matrixV().transpose();
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Vector2d v = C.col(0);
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X.row(i) = v(0) * B1.row(i) + v(1) * B2.row(i);
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}
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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#endif
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