path.H

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License
    This file is part of OpenFOAM.
 
    OpenFOAM is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
Class
    Foam::extrudeModels::path
 
Description
    Extrudes by transforming points along an curve defined as an edgeMesh
 
    Uses rotation minimising frames (RMF) algorithm, which is based on
    the Frenet-Serret equations, and described in:
    \verbatim
        Wang, W., Jüttler, B., Zheng, D., & Liu, Y. (2008).
        Computation of rotation minimizing frames.
        ACM Transactions on Graphics (TOG), 27(1), 1-18.
    \endverbatim
 
\*---------------------------------------------------------------------------*/
 
#ifndef path_extrudeModel_H
#define path_extrudeModel_H
 
#include "extrudeModel.H"
#include "pointField.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
class edgeMesh;
 
namespace extrudeModels
{
 
/*---------------------------------------------------------------------------*\
                      Class path Declaration
\*---------------------------------------------------------------------------*/
 
class path
:
    public extrudeModel
{
    // Private Data
 
        //- Coordinates defining the extrusion curve
        autoPtr<edgeMesh> eMeshPtr_;
 
        //- Cumulative point distances along the extrusion curve
        scalarField distances_;
 
        //- Extrude direction for each frame along the extrusion curve
        vectorField directions_;
 
        //- Normals to each direction frame
        vectorField normals_;
 
        //- Transposed orthonormal rotation tensor at the first layer
        tensor R0T_;
 
 
    // Private Member Functions
 
        //- Find cumulative point span which contains the given distance
        label findFrameIndex(const scalar distance) const;
 
 
    // Private Static Member Functions
 
        //- Cartesian axis perpendicular to the supplied direction
        static vector orthogonal(const vector& dirn);
 
        //- Frenet-Serret rotational tensor
        static tensor orthonormalBasis(const vector& T, const vector& N);
 
 
public:
 
    //- Runtime type information
    TypeName("path");
 
 
    // Constructors
 
        //- Construct from dictionary
        path(const dictionary& dict);
 
 
    //- Destructor
    virtual ~path();
 
 
    // Member Operators
 
        point operator()
        (
            const point& surfacePoint,
            const vector& surfaceNormal,
            const label layer
        ) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace extrudeModels
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //