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d1775ee992
draw_test_harness.md - description of new options in Draw commands AppDef_BSplineCompute.hxx, BRepApprox_TheComputeLineOfApprox.hxx, GeomInt_TheComputeLineOfWLApprox.hxx, Approx_BSplComputeLine.gxx - implementation of method SetPeriodic(...) and implementation periodic boundary conditions for multiline in order to get periodic multicurve. GeomAPI_PointsToBSplineSurface.hxx, GeomAPI_PointsToBSplineSurface.cxx - adding new parameter for methods Init(...) and Interpolate(...), implementation of building periodic tangents for first and last AppDef_MultiPointConstraint of multiline for U direction of surface. GeometryTest_APICommands.cxx - implementation of new functionality in Draw command surfapp and surfint GeomFill_NSections.cxx Fixing problem with bugs modalg_3 bug606_2
275 lines
11 KiB
C++
275 lines
11 KiB
C++
// Created on: 1995-01-16
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// Created by: Remi LEQUETTE
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// Copyright (c) 1995-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _GeomAPI_PointsToBSplineSurface_HeaderFile
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#define _GeomAPI_PointsToBSplineSurface_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <Standard_Handle.hxx>
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#include <Standard_Boolean.hxx>
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#include <TColgp_Array2OfPnt.hxx>
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#include <Standard_Integer.hxx>
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#include <GeomAbs_Shape.hxx>
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#include <Standard_Real.hxx>
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#include <Approx_ParametrizationType.hxx>
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#include <TColStd_Array2OfReal.hxx>
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class Geom_BSplineSurface;
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class StdFail_NotDone;
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//! This class is used to approximate or interpolate
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//! a BSplineSurface passing through an Array2 of
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//! points, with a given continuity.
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//! Describes functions for building a BSpline
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//! surface which approximates or interpolates a set of points.
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//! A PointsToBSplineSurface object provides a framework for:
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//! - defining the data of the BSpline surface to be built,
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//! - implementing the approximation algorithm
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//! or the interpolation algorithm, and consulting the results.
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//! In fact, class contains 3 algorithms, 2 for approximation and 1
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//! for interpolation.
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//! First approximation algorithm is based on usual least square criterium:
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//! minimization of square distance between samplimg points and result surface.
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//! Second approximation algorithm uses least square criterium and additional
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//! minimization of some local characteristic of surface (first, second and third
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//! partial derivative), which allows managing shape of surface.
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//! Interpolation algorithm produces surface, which passes through sampling points.
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//!
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//! There is accordance between parametrization of result surface S(U, V) and
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//! indexes of array Points(i, j): first index corresponds U parameter of surface,
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//! second - V parameter of surface.
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//! So, points of any j-th column Points(*, j) represent any V isoline of surface,
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//! points of any i-th row Point(i, *) represent any U isoline of surface.
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//!
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//! For each sampling point parameters U, V are calculated according to
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//! type of parametrization, which can be Approx_ChordLength, Approx_Centripetal
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//! or Approx_IsoParametric. Default value is Approx_ChordLength.
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//! For ChordLength parametrisation U(i) = U(i-1) + P(i).Distance(P(i-1)),
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//! For Centripetal type U(i) = U(i-1) + Sqrt(P(i).Distance(P(i-1))).
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//! Centripetal type can get better result for irregular distances between points.
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//!
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//! Approximation and interpolation algorithms can build periodical surface along U
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//! direction, which corresponds colums of array Points(i, j),
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//! if corresponding parameter (thePeriodic, see comments below) of called
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//! methods is set to True. Algorithm uses first row Points(1, *) as periodic boundary,
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//! so to avoid getting wrong surface it is necessary to keep distance between
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//! corresponding points of first and last rows of Points:
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//! Points(1, *) != Points(Upper, *).
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class GeomAPI_PointsToBSplineSurface
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Constructs an empty algorithm for
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//! approximation or interpolation of a surface.
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//! Use:
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//! - an Init function to define and build the
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//! BSpline surface by approximation, or
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//! - an Interpolate function to define and build
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//! the BSpline surface by interpolation.
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Standard_EXPORT GeomAPI_PointsToBSplineSurface();
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//! Approximates a BSpline Surface passing through an
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//! array of Points. The resulting BSpline will have
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//! the following properties:
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//! 1- his degree will be in the range [Degmin,Degmax]
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//! 2- his continuity will be at least <Continuity>
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//! 3- the distance from the point <Points> to the
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//! BSpline will be lower to Tol3D.
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Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
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const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
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//! Approximates a BSpline Surface passing through an
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//! array of Points. The resulting BSpline will have
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//! the following properties:
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//! 1- his degree will be in the range [Degmin,Degmax]
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//! 2- his continuity will be at least <Continuity>
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//! 3- the distance from the point <Points> to the
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//! BSpline will be lower to Tol3D.
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Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
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const Approx_ParametrizationType ParType,
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const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
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//! Approximates a BSpline Surface passing through an
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//! array of points using variational smoothing algorithm,
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//! which tries to minimize additional criterium:
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//! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.
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Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColgp_Array2OfPnt& Points,
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const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3,
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const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2,
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const Standard_Real Tol3D = 1.0e-3);
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//! Approximates a BSpline Surface passing through an
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//! array of Points.
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//!
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//! The points will be constructed as follow:
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//! P(i,j) = gp_Pnt( X0 + (i-1)*dX ,
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//! Y0 + (j-1)*dY ,
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//! ZPoints(i,j) )
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//!
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//! The resulting BSpline will have the following
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//! properties:
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//! 1- his degree will be in the range [Degmin,Degmax]
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//! 2- his continuity will be at least <Continuity>
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//! 3- the distance from the point <Points> to the
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//! BSpline will be lower to Tol3D
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//! 4- the parametrization of the surface will verify:
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//! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
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Standard_EXPORT GeomAPI_PointsToBSplineSurface(const TColStd_Array2OfReal& ZPoints,
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const Standard_Real X0, const Standard_Real dX,
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const Standard_Real Y0, const Standard_Real dY,
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const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
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//! Approximates a BSpline Surface passing through an
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//! array of Point. The resulting BSpline will have
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//! the following properties:
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//! 1- his degree will be in the range [Degmin,Degmax]
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//! 2- his continuity will be at least <Continuity>
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//! 3- the distance from the point <Points> to the
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//! BSpline will be lower to Tol3D.
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Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points,
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const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
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//! Interpolates a BSpline Surface passing through an
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//! array of Point. The resulting BSpline will have
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//! the following properties:
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//! 1- his degree will be 3.
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//! 2- his continuity will be C2.
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Standard_EXPORT void Interpolate (const TColgp_Array2OfPnt& Points,
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const Standard_Boolean thePeriodic = Standard_False);
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//! Interpolates a BSpline Surface passing through an
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//! array of Point. The resulting BSpline will have
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//! the following properties:
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//! 1- his degree will be 3.
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//! 2- his continuity will be C2.
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Standard_EXPORT void Interpolate (const TColgp_Array2OfPnt& Points, const Approx_ParametrizationType ParType,
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const Standard_Boolean thePeriodic = Standard_False);
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//! Approximates a BSpline Surface passing through an
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//! array of Points.
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//!
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//! The points will be constructed as follow:
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//! P(i,j) = gp_Pnt( X0 + (i-1)*dX ,
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//! Y0 + (j-1)*dY ,
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//! ZPoints(i,j) )
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//!
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//! The resulting BSpline will have the following
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//! properties:
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//! 1- his degree will be in the range [Degmin,Degmax]
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//! 2- his continuity will be at least <Continuity>
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//! 3- the distance from the point <Points> to the
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//! BSpline will be lower to Tol3D
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//! 4- the parametrization of the surface will verify:
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//! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
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Standard_EXPORT void Init (const TColStd_Array2OfReal& ZPoints,
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const Standard_Real X0, const Standard_Real dX,
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const Standard_Real Y0, const Standard_Real dY,
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const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
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//! Interpolates a BSpline Surface passing through an
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//! array of Points.
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//!
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//! The points will be constructed as follow:
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//! P(i,j) = gp_Pnt( X0 + (i-1)*dX ,
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//! Y0 + (j-1)*dY ,
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//! ZPoints(i,j) )
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//!
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//! The resulting BSpline will have the following
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//! properties:
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//! 1- his degree will be 3
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//! 2- his continuity will be C2.
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//! 4- the parametrization of the surface will verify:
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//! S->Value( U, V) = gp_Pnt( U, V, Z(U,V) );
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Standard_EXPORT void Interpolate (const TColStd_Array2OfReal& ZPoints,
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const Standard_Real X0, const Standard_Real dX, const Standard_Real Y0, const Standard_Real dY);
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//! Approximates a BSpline Surface passing through an
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//! array of Point. The resulting BSpline will have
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//! the following properties:
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//! 1- his degree will be in the range [Degmin,Degmax]
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//! 2- his continuity will be at least <Continuity>
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//! 3- the distance from the point <Points> to the
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//! BSpline will be lower to Tol3D.
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Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points,
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const Approx_ParametrizationType ParType,
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const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2,
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const Standard_Real Tol3D = 1.0e-3, const Standard_Boolean thePeriodic = Standard_False);
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//! Approximates a BSpline Surface passing through an
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//! array of point using variational smoothing algorithm,
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//! which tries to minimize additional criterium:
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//! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion.
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Standard_EXPORT void Init (const TColgp_Array2OfPnt& Points,
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const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3,
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const Standard_Integer DegMax = 8,
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const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
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//! Returns the approximate BSpline Surface
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Standard_EXPORT const Handle(Geom_BSplineSurface)& Surface() const;
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Standard_EXPORT operator Handle(Geom_BSplineSurface)() const;
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Standard_EXPORT Standard_Boolean IsDone() const;
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protected:
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private:
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Standard_Boolean myIsDone;
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Handle(Geom_BSplineSurface) mySurface;
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};
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#endif // _GeomAPI_PointsToBSplineSurface_HeaderFile
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