mongePatch.h

/*
 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/.
*/
 
#pragma once
 
#include "./defines.h"
 
#include <Eigen/Dense>
 
namespace Ponca
{
 
template < class DataPoint, class _WFunctor, typename T>
class MongePatch : public T
{
PONCA_FITTING_DECLARE_DEFAULT_TYPES
 
protected:
    enum { Check = Base::PROVIDES_PLANE && Base::PROVIDES_TANGENT_PLANE_BASIS };
 
public:
    using SampleMatrix = Eigen::Matrix<Scalar,Eigen::Dynamic,Eigen::Dynamic>;
    using Vector6      = Eigen::Matrix<Scalar,6,1>;
 
protected:
    SampleMatrix m_A; 
    Vector6      m_x {Vector6::Zero()};      
    Vector6      m_b {Vector6::Zero()};      
    bool m_planeIsReady {false};
public:
    PONCA_EXPLICIT_CAST_OPERATORS(MongePatch,mongePatch)
    PONCA_FITTING_DECLARE_INIT_ADD_FINALIZE
 
    PONCA_MULTIARCH inline Scalar kMean() const;
 
    PONCA_MULTIARCH inline Scalar GaussianCurvature() const;
 
    PONCA_MULTIARCH inline Scalar evalUV(Scalar u, Scalar v) const {
      return h_uu()*u*u + h_vv()*v*v + h_uv()*u*v + h_u()*u + h_v()*v + h_c();
    }
 
    PONCA_MULTIARCH inline Scalar potential(const VectorType& _q) const {
      VectorType x = Base::worldToTangentPlane(_q);
      return evalUV(*(x.data()+1),*(x.data()+2)) - *(x.data());
    }
 
    PONCA_MULTIARCH inline VectorType project (const VectorType& _q) const
    {
        VectorType x = Base::worldToTangentPlane(_q);
        *(x.data()) = evalUV(*(x.data()+1),*(x.data()+2));
        return Base::tangentPlaneToWorld(x);
    }
 
    PONCA_MULTIARCH inline const Scalar & h_uu () const { return *(m_x.data()); }
    PONCA_MULTIARCH inline const Scalar & h_vv () const { return *(m_x.data()+1); }
    PONCA_MULTIARCH inline const Scalar & h_uv () const { return *(m_x.data()+2); }
    PONCA_MULTIARCH inline const Scalar & h_u  () const { return *(m_x.data()+3); }
    PONCA_MULTIARCH inline const Scalar & h_v  () const { return *(m_x.data()+4); }
    PONCA_MULTIARCH inline const Scalar & h_c  () const { return *(m_x.data()+5); }
 
};
 
#include "mongePatch.hpp"
 
} //namespace Ponca