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85 lines
4.1 KiB
C++
85 lines
4.1 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>, Olga Diamanti <olga.diam@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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#ifdef WIN32
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#define _USE_MATH_DEFINES
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#endif
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#include <cmath>
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#include "compute_frame_field_bisectors.h"
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#include "igl/local_basis.h"
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#include "PI.h"
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template <typename DerivedV, typename DerivedF>
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IGL_INLINE void igl::compute_frame_field_bisectors(
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const Eigen::PlainObjectBase<DerivedV>& V,
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const Eigen::PlainObjectBase<DerivedF>& F,
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const Eigen::PlainObjectBase<DerivedV>& B1,
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const Eigen::PlainObjectBase<DerivedV>& B2,
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const Eigen::PlainObjectBase<DerivedV>& PD1,
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const Eigen::PlainObjectBase<DerivedV>& PD2,
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Eigen::PlainObjectBase<DerivedV>& BIS1,
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Eigen::PlainObjectBase<DerivedV>& BIS2)
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{
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BIS1.resize(PD1.rows(),3);
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BIS2.resize(PD1.rows(),3);
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for (unsigned i=0; i<PD1.rows();++i)
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{
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// project onto the tangent plane and convert to angle
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// Convert to angle
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double a1 = atan2(B2.row(i).dot(PD1.row(i)),B1.row(i).dot(PD1.row(i)));
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//make it positive by adding some multiple of 2pi
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a1 += std::ceil (std::max(0., -a1) / (igl::PI*2.)) * (igl::PI*2.);
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//take modulo 2pi
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a1 = fmod(a1, (igl::PI*2.));
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double a2 = atan2(B2.row(i).dot(PD2.row(i)),B1.row(i).dot(PD2.row(i)));
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//make it positive by adding some multiple of 2pi
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a2 += std::ceil (std::max(0., -a2) / (igl::PI*2.)) * (igl::PI*2.);
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//take modulo 2pi
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a2 = fmod(a2, (igl::PI*2.));
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double b1 = (a1+a2)/2.0;
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//make it positive by adding some multiple of 2pi
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b1 += std::ceil (std::max(0., -b1) / (igl::PI*2.)) * (igl::PI*2.);
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//take modulo 2pi
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b1 = fmod(b1, (igl::PI*2.));
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double b2 = b1+(igl::PI/2.);
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//make it positive by adding some multiple of 2pi
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b2 += std::ceil (std::max(0., -b2) / (igl::PI*2.)) * (igl::PI*2.);
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//take modulo 2pi
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b2 = fmod(b2, (igl::PI*2.));
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BIS1.row(i) = cos(b1) * B1.row(i) + sin(b1) * B2.row(i);
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BIS2.row(i) = cos(b2) * B1.row(i) + sin(b2) * B2.row(i);
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}
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}
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template <typename DerivedV, typename DerivedF>
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IGL_INLINE void igl::compute_frame_field_bisectors(
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const Eigen::PlainObjectBase<DerivedV>& V,
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const Eigen::PlainObjectBase<DerivedF>& F,
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const Eigen::PlainObjectBase<DerivedV>& PD1,
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const Eigen::PlainObjectBase<DerivedV>& PD2,
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Eigen::PlainObjectBase<DerivedV>& BIS1,
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Eigen::PlainObjectBase<DerivedV>& BIS2)
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{
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DerivedV B1, B2, B3;
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igl::local_basis(V,F,B1,B2,B3);
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compute_frame_field_bisectors( V, F, B1, B2, PD1, PD2, BIS1, BIS2);
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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template void igl::compute_frame_field_bisectors<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> >&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> >&);
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template void igl::compute_frame_field_bisectors<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
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#endif
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