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 // Created on: 1995-01-16
 // Created by: Remi LEQUETTE
 // Copyright (c) 1995-1999 Matra Datavision
 // Copyright (c) 1999-2014 OPEN CASCADE SAS
 //
 // This file is part of Open CASCADE Technology software library.
 //
 // This library is free software; you can redistribute it and/or modify it under
 // the terms of the GNU Lesser General Public License version 2.1 as published
 // by the Free Software Foundation, with special exception defined in the file
 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
 // distribution for complete text of the license and disclaimer of any warranty.
 //
 // Alternatively, this file may be used under the terms of Open CASCADE
 // commercial license or contractual agreement.
 
 #ifndef _GeomAPI_PointsToBSplineSurface_HeaderFile
 #define _GeomAPI_PointsToBSplineSurface_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <TColgp_Array2OfPnt.hxx>
 #include <Standard_Integer.hxx>
 #include <GeomAbs_Shape.hxx>
 #include <Approx_ParametrizationType.hxx>
 #include <TColStd_Array2OfReal.hxx>
 class Geom_BSplineSurface;
 
 //! This class is used to approximate or interpolate
 //! a BSplineSurface passing through an  Array2 of
 //! points, with a given continuity.
 //! Describes functions for building a BSpline
 //! surface which approximates or interpolates a set of points.
 //! A PointsToBSplineSurface object provides a framework for:
 //! -   defining the data of the BSpline surface to be built,
 //! -   implementing the approximation algorithm
 //! or the interpolation algorithm, and consulting the results.
 //! In fact, class contains 3 algorithms, 2 for approximation and 1
 //! for interpolation.
 //! First approximation algorithm is based on usual least square criterium:
 //! minimization of square distance between samplimg points and result surface.
 //! Second approximation algorithm uses least square criterium and additional
 //! minimization of some local characteristic of surface (first, second and third
 //! partial derivative), which allows managing shape of surface.
 //! Interpolation algorithm produces surface, which passes through sampling points.
 //!
 //! There is accordance between parametrization of result surface S(U, V) and
 //! indexes of array Points(i, j): first index corresponds U parameter of surface,
 //! second - V parameter of surface.
 //! So, points of any j-th column Points(*, j) represent any V isoline of surface,
 //! points of any i-th row Point(i, *) represent any U isoline of surface.
 //!
 //! For each sampling point parameters U, V are calculated according to
 //! type of parametrization, which can be Approx_ChordLength, Approx_Centripetal
 //! or Approx_IsoParametric. Default value is Approx_ChordLength.
 //! For ChordLength parametrisation U(i) = U(i-1) + P(i).Distance(P(i-1)),
 //! For Centripetal type  U(i) = U(i-1) + Sqrt(P(i).Distance(P(i-1))).
 //! Centripetal type can get better result for irregular distances between points.
 //!
 //! Approximation and interpolation algorithms can build periodical surface along U
 //! direction, which corresponds columns of array Points(i, j),
 //! if corresponding parameter (thePeriodic, see comments below) of called
 //! methods is set to True. Algorithm uses first row Points(1, *) as periodic boundary,
 //! so to avoid getting wrong surface it is necessary to keep distance between
 //! corresponding points of first and last rows of Points:
 //! Points(1, *) != Points(Upper, *).
 
 class GeomAPI_PointsToBSplineSurface
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! Constructs an empty algorithm for
   //! approximation or interpolation of a surface.
   //! Use:
   //! -   an Init function to define and build the
   //! BSpline surface by approximation, or
   //! -   an Interpolate function to define and build
   //! the BSpline surface by interpolation.
   Standard_EXPORT GeomAPI_PointsToBSplineSurface();
 
   //! Approximates  a BSpline  Surface passing  through  an
   //! array of  Points.  The resulting BSpline will  have
   //! the following properties:
   //! 1- his degree will be in the range [Degmin,Degmax]
   //! 2- his  continuity will be  at  least <Continuity>
   //! 3- the distance from the point <Points> to the
   //! BSpline will be lower to Tol3D.
 
   Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
                                                  const Standard_Integer    DegMin     = 3,
                                                  const Standard_Integer    DegMax     = 8,
                                                  const GeomAbs_Shape       Continuity = GeomAbs_C2,
                                                  const Standard_Real       Tol3D      = 1.0e-3);
 
   //! Approximates  a BSpline  Surface passing  through  an
   //! array of  Points.  The resulting BSpline will  have
   //! the following properties:
   //! 1- his degree will be in the range [Degmin,Degmax]
   //! 2- his  continuity will be  at  least <Continuity>
   //! 3- the distance from the point <Points> to the
   //! BSpline will be lower to Tol3D.
 
   Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt&        Points,
                                                  const Approx_ParametrizationType ParType,
                                                  const Standard_Integer           DegMin = 3,
                                                  const Standard_Integer           DegMax = 8,
                                                  const GeomAbs_Shape Continuity = GeomAbs_C2,
                                                  const Standard_Real Tol3D      = 1.0e-3);
 
   //! Approximates  a BSpline  Surface passing  through  an
   //! array of  points using variational smoothing algorithm,
   //! which tries to minimize additional criterium:
   //! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.
 
   Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
                                                  const Standard_Real       Weight1,
                                                  const Standard_Real       Weight2,
                                                  const Standard_Real       Weight3,
                                                  const Standard_Integer    DegMax     = 8,
                                                  const GeomAbs_Shape       Continuity = GeomAbs_C2,
                                                  const Standard_Real       Tol3D      = 1.0e-3);
 
   //! Approximates  a BSpline  Surface passing  through  an
   //! array of  Points.
   //!
   //! The points will be constructed as follow:
   //! P(i,j) = gp_Pnt( X0 + (i-1)*dX ,
   //! Y0 + (j-1)*dY ,
   //! ZPoints(i,j)   )
   //!
   //! The resulting BSpline will  have the following
   //! properties:
   //! 1- his degree will be in the range [Degmin,Degmax]
   //! 2- his  continuity will be  at  least <Continuity>
   //! 3- the distance from the point <Points> to the
   //! BSpline will be lower to Tol3D
   //! 4- the parametrization of the surface will verify:
   //! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
 
   Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColStd_Array2OfReal& ZPoints,
                                                  const Standard_Real         X0,
                                                  const Standard_Real         dX,
                                                  const Standard_Real         Y0,
                                                  const Standard_Real         dY,
                                                  const Standard_Integer      DegMin = 3,
                                                  const Standard_Integer      DegMax = 8,
                                                  const GeomAbs_Shape Continuity     = GeomAbs_C2,
                                                  const Standard_Real Tol3D          = 1.0e-3);
 
   //! Approximates  a BSpline Surface passing  through  an
   //! array of  Point.  The resulting BSpline will  have
   //! the following properties:
   //! 1- his degree will be in the range [Degmin,Degmax]
   //! 2- his  continuity will be  at  least <Continuity>
   //! 3- the distance from the point <Points> to the
   //! BSpline will be lower to Tol3D.
 
   Standard_EXPORT void Init(const TColgp_Array2OfPnt& Points,
                             const Standard_Integer    DegMin     = 3,
                             const Standard_Integer    DegMax     = 8,
                             const GeomAbs_Shape       Continuity = GeomAbs_C2,
                             const Standard_Real       Tol3D      = 1.0e-3);
 
   //! Interpolates  a BSpline Surface passing  through  an
   //! array of  Point.  The resulting BSpline will  have
   //! the following properties:
   //! 1- his degree will be 3.
   //! 2- his  continuity will be  C2.
 
   Standard_EXPORT void Interpolate(const TColgp_Array2OfPnt& Points,
                                    const Standard_Boolean    thePeriodic = Standard_False);
 
   //! Interpolates  a BSpline Surface passing  through  an
   //! array of  Point.  The resulting BSpline will  have
   //! the following properties:
   //! 1- his degree will be 3.
   //! 2- his  continuity will be  C2.
 
   Standard_EXPORT void Interpolate(const TColgp_Array2OfPnt&        Points,
                                    const Approx_ParametrizationType ParType,
                                    const Standard_Boolean           thePeriodic = Standard_False);
 
   //! Approximates  a BSpline  Surface passing  through  an
   //! array of  Points.
   //!
   //! The points will be constructed as follow:
   //! P(i,j) = gp_Pnt( X0 + (i-1)*dX ,
   //! Y0 + (j-1)*dY ,
   //! ZPoints(i,j)   )
   //!
   //! The resulting BSpline will  have the following
   //! properties:
   //! 1- his degree will be in the range [Degmin,Degmax]
   //! 2- his  continuity will be  at  least <Continuity>
   //! 3- the distance from the point <Points> to the
   //! BSpline will be lower to Tol3D
   //! 4- the parametrization of the surface will verify:
   //! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
 
   Standard_EXPORT void Init(const TColStd_Array2OfReal& ZPoints,
                             const Standard_Real         X0,
                             const Standard_Real         dX,
                             const Standard_Real         Y0,
                             const Standard_Real         dY,
                             const Standard_Integer      DegMin     = 3,
                             const Standard_Integer      DegMax     = 8,
                             const GeomAbs_Shape         Continuity = GeomAbs_C2,
                             const Standard_Real         Tol3D      = 1.0e-3);
 
   //! Interpolates  a BSpline  Surface passing  through  an
   //! array of  Points.
   //!
   //! The points will be constructed as follow:
   //! P(i,j) = gp_Pnt( X0 + (i-1)*dX ,
   //! Y0 + (j-1)*dY ,
   //! ZPoints(i,j)   )
   //!
   //! The resulting BSpline will  have the following
   //! properties:
   //! 1- his degree will be 3
   //! 2- his  continuity will be  C2.
   //! 4- the parametrization of the surface will verify:
   //! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
 
   Standard_EXPORT void Interpolate(const TColStd_Array2OfReal& ZPoints,
                                    const Standard_Real         X0,
                                    const Standard_Real         dX,
                                    const Standard_Real         Y0,
                                    const Standard_Real         dY);
 
   //! Approximates  a BSpline Surface passing  through  an
   //! array of  Point.  The resulting BSpline will  have
   //! the following properties:
   //! 1- his degree will be in the range [Degmin,Degmax]
   //! 2- his  continuity will be  at  least <Continuity>
   //! 3- the distance from the point <Points> to the
   //! BSpline will be lower to Tol3D.
 
   Standard_EXPORT void Init(const TColgp_Array2OfPnt&        Points,
                             const Approx_ParametrizationType ParType,
                             const Standard_Integer           DegMin      = 3,
                             const Standard_Integer           DegMax      = 8,
                             const GeomAbs_Shape              Continuity  = GeomAbs_C2,
                             const Standard_Real              Tol3D       = 1.0e-3,
                             const Standard_Boolean           thePeriodic = Standard_False);
 
   //! Approximates  a BSpline Surface passing  through  an
   //! array of  point using variational smoothing algorithm,
   //! which tries to minimize additional criterium:
   //! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.
 
   Standard_EXPORT void Init(const TColgp_Array2OfPnt& Points,
                             const Standard_Real       Weight1,
                             const Standard_Real       Weight2,
                             const Standard_Real       Weight3,
                             const Standard_Integer    DegMax     = 8,
                             const GeomAbs_Shape       Continuity = GeomAbs_C2,
                             const Standard_Real       Tol3D      = 1.0e-3);
 
   //! Returns the approximate BSpline Surface
   Standard_EXPORT const Handle(Geom_BSplineSurface)& Surface() const;
   Standard_EXPORT                                    operator Handle(Geom_BSplineSurface)() const;
 
   Standard_EXPORT Standard_Boolean IsDone() const;
 
 protected:
 private:
   Standard_Boolean            myIsDone;
   Handle(Geom_BSplineSurface) mySurface;
 };
 
 #endif // _GeomAPI_PointsToBSplineSurface_HeaderFile

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