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356 lines
18 KiB
C++
356 lines
18 KiB
C++
// Created on: 1991-10-03
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// Created by: JeanClaude VAUTHIER
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// Copyright (c) 1991-1999 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 _GeomConvert_HeaderFile
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#define _GeomConvert_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_Integer.hxx>
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#include <Standard_Boolean.hxx>
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#include <Standard_Real.hxx>
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#include <Convert_ParameterisationType.hxx>
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#include <TColGeom_Array1OfBSplineCurve.hxx>
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#include <TColStd_Array1OfReal.hxx>
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#include <TColGeom_HArray1OfBSplineCurve.hxx>
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#include <TColStd_HArray1OfInteger.hxx>
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class Geom_BSplineCurve;
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class Geom_BSplineSurface;
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class Geom_Curve;
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class Geom_Surface;
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class GeomConvert_BSplineCurveKnotSplitting;
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class GeomConvert_BSplineSurfaceKnotSplitting;
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class GeomConvert_BSplineCurveToBezierCurve;
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class GeomConvert_CompCurveToBSplineCurve;
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class GeomConvert_BSplineSurfaceToBezierSurface;
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class GeomConvert_CompBezierSurfacesToBSplineSurface;
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class GeomConvert_ApproxSurface;
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class GeomConvert_ApproxCurve;
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//! The GeomConvert package provides some global functions as follows
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//! - converting classical Geom curves into BSpline curves,
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//! - segmenting BSpline curves, particularly at knots
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//! values: this function may be used in conjunction with the
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//! GeomConvert_BSplineCurveKnotSplitting
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//! class to segment a BSpline curve into arcs which
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//! comply with required continuity levels,
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//! - converting classical Geom surfaces into BSpline surfaces, and
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//! - segmenting BSpline surfaces, particularly at
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//! knots values: this function may be used in conjunction with the
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//! GeomConvert_BSplineSurfaceKnotSplitting
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//! class to segment a BSpline surface into patches
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//! which comply with required continuity levels.
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//! All geometric entities used in this package are bounded.
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//!
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//! References :
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//! . Generating the Bezier Points of B-spline curves and surfaces
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//! (Wolfgang Bohm) CAGD volume 13 number 6 november 1981
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//! . On NURBS: A Survey (Leslie Piegl) IEEE Computer Graphics and
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//! Application January 1991
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//! . Curve and surface construction using rational B-splines
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//! (Leslie Piegl and Wayne Tiller) CAD Volume 19 number 9 november
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//! 1987
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//! . A survey of curve and surface methods in CAGD (Wolfgang BOHM)
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//! CAGD 1 1984
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class GeomConvert
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Convert a curve from Geom by an approximation method
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//!
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//! This method computes the arc of B-spline curve between the two
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//! knots FromK1 and ToK2. If C is periodic the arc has the same
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//! orientation as C if SameOrientation = Standard_True.
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//! If C is not periodic SameOrientation is not used for the
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//! computation and C is oriented from the knot fromK1 to the knot toK2.
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//! We just keep the local definition of C between the knots
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//! FromK1 and ToK2. The returned B-spline curve has its first
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//! and last knots with a multiplicity equal to degree + 1, where
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//! degree is the polynomial degree of C.
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//! The indexes of the knots FromK1 and ToK2 doesn't include the
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//! repetition of multiple knots in their definition.
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//! Raised if FromK1 = ToK2
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//! Raised if FromK1 or ToK2 are out of the bounds
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//! [FirstUKnotIndex, LastUKnotIndex]
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Standard_EXPORT static Handle(Geom_BSplineCurve) SplitBSplineCurve (const Handle(Geom_BSplineCurve)& C, const Standard_Integer FromK1, const Standard_Integer ToK2, const Standard_Boolean SameOrientation = Standard_True);
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//! This function computes the segment of B-spline curve between the
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//! parametric values FromU1, ToU2.
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//! If C is periodic the arc has the same orientation as C if
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//! SameOrientation = True.
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//! If C is not periodic SameOrientation is not used for the
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//! computation and C is oriented fromU1 toU2.
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//! If U1 and U2 and two parametric values we consider that
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//! U1 = U2 if Abs (U1 - U2) <= ParametricTolerance and
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//! ParametricTolerance must be greater or equal to Resolution
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//! from package gp.
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//!
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//! Raised if FromU1 or ToU2 are out of the parametric bounds of the
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//! curve (The tolerance criterion is ParametricTolerance).
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//! Raised if Abs (FromU1 - ToU2) <= ParametricTolerance
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//! Raised if ParametricTolerance < Resolution from gp.
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Standard_EXPORT static Handle(Geom_BSplineCurve) SplitBSplineCurve (const Handle(Geom_BSplineCurve)& C, const Standard_Real FromU1, const Standard_Real ToU2, const Standard_Real ParametricTolerance, const Standard_Boolean SameOrientation = Standard_True);
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//! Computes the B-spline surface patche between the knots values
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//! FromUK1, ToUK2, FromVK1, ToVK2.
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//! If S is periodic in one direction the patche has the same
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//! orientation as S in this direction if the flag is true in this
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//! direction (SameUOrientation, SameVOrientation).
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//! If S is not periodic SameUOrientation and SameVOrientation are not
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//! used for the computation and S is oriented FromUK1 ToUK2 and
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//! FromVK1 ToVK2.
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//! Raised if
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//! FromUK1 = ToUK2 or FromVK1 = ToVK2
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//! FromUK1 or ToUK2 are out of the bounds
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//! [FirstUKnotIndex, LastUKnotIndex]
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//! FromVK1 or ToVK2 are out of the bounds
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//! [FirstVKnotIndex, LastVKnotIndex]
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Standard_EXPORT static Handle(Geom_BSplineSurface) SplitBSplineSurface (const Handle(Geom_BSplineSurface)& S, const Standard_Integer FromUK1, const Standard_Integer ToUK2, const Standard_Integer FromVK1, const Standard_Integer ToVK2, const Standard_Boolean SameUOrientation = Standard_True, const Standard_Boolean SameVOrientation = Standard_True);
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//! This method splits a B-spline surface patche between the
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//! knots values FromK1, ToK2 in one direction.
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//! If USplit = True then the splitting direction is the U parametric
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//! direction else it is the V parametric direction.
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//! If S is periodic in the considered direction the patche has the
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//! same orientation as S in this direction if SameOrientation is True
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//! If S is not periodic in this direction SameOrientation is not used
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//! for the computation and S is oriented FromK1 ToK2.
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//! Raised if FromK1 = ToK2 or if
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//! FromK1 or ToK2 are out of the bounds
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//! [FirstUKnotIndex, LastUKnotIndex] in the
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//! considered parametric direction.
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Standard_EXPORT static Handle(Geom_BSplineSurface) SplitBSplineSurface (const Handle(Geom_BSplineSurface)& S, const Standard_Integer FromK1, const Standard_Integer ToK2, const Standard_Boolean USplit, const Standard_Boolean SameOrientation = Standard_True);
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//! This method computes the B-spline surface patche between the
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//! parametric values FromU1, ToU2, FromV1, ToV2.
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//! If S is periodic in one direction the patche has the same
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//! orientation as S in this direction if the flag is True in this
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//! direction (SameUOrientation, SameVOrientation).
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//! If S is not periodic SameUOrientation and SameVOrientation are not
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//! used for the computation and S is oriented FromU1 ToU2 and
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//! FromV1 ToV2.
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//! If U1 and U2 and two parametric values we consider that U1 = U2 if
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//! Abs (U1 - U2) <= ParametricTolerance and ParametricTolerance must
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//! be greater or equal to Resolution from package gp.
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//!
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//! Raised if FromU1 or ToU2 or FromV1 or ToU2 are out of the
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//! parametric bounds of the surface (the tolerance criterion is
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//! ParametricTolerance).
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//! Raised if Abs (FromU1 - ToU2) <= ParametricTolerance or
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//! Abs (FromV1 - ToV2) <= ParametricTolerance.
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//! Raised if ParametricTolerance < Resolution.
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Standard_EXPORT static Handle(Geom_BSplineSurface) SplitBSplineSurface (const Handle(Geom_BSplineSurface)& S, const Standard_Real FromU1, const Standard_Real ToU2, const Standard_Real FromV1, const Standard_Real ToV2, const Standard_Real ParametricTolerance, const Standard_Boolean SameUOrientation = Standard_True, const Standard_Boolean SameVOrientation = Standard_True);
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//! This method splits the B-spline surface S in one direction
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//! between the parametric values FromParam1, ToParam2.
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//! If USplit = True then the Splitting direction is the U parametric
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//! direction else it is the V parametric direction.
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//! If S is periodic in the considered direction the patche has
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//! the same orientation as S in this direction if SameOrientation
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//! is true.
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//! If S is not periodic in the considered direction SameOrientation
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//! is not used for the computation and S is oriented FromParam1
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//! ToParam2.
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//! If U1 and U2 and two parametric values we consider that U1 = U2
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//! if Abs (U1 - U2) <= ParametricTolerance and ParametricTolerance
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//! must be greater or equal to Resolution from package gp.
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//!
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//! Raises if FromParam1 or ToParam2 are out of the parametric bounds
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//! of the surface in the considered direction.
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//! Raises if Abs (FromParam1 - ToParam2) <= ParametricTolerance.
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Standard_EXPORT static Handle(Geom_BSplineSurface) SplitBSplineSurface (const Handle(Geom_BSplineSurface)& S, const Standard_Real FromParam1, const Standard_Real ToParam2, const Standard_Boolean USplit, const Standard_Real ParametricTolerance, const Standard_Boolean SameOrientation = Standard_True);
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//! This function converts a non infinite curve from
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//! Geom into a B-spline curve. C must be an ellipse or a
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//! circle or a trimmed conic or a trimmed line or a Bezier
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//! curve or a trimmed Bezier curve or a BSpline curve or a
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//! trimmed BSpline curve or an OffsetCurve. The returned B-spline is
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//! not periodic except if C is a Circle or an Ellipse. If
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//! the Parameterisation is QuasiAngular than the returned
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//! curve is NOT periodic in case a periodic Geom_Circle or
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//! Geom_Ellipse. For TgtThetaOver2_1 and TgtThetaOver2_2 the
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//! method raises an exception in case of a periodic
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//! Geom_Circle or a Geom_Ellipse ParameterisationType applies
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//! only if the curve is a Circle or an ellipse :
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//! TgtThetaOver2, -- TgtThetaOver2_1, -- TgtThetaOver2_2, --
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//! TgtThetaOver2_3, -- TgtThetaOver2_4,
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//!
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//! Purpose: this is the classical rational parameterisation
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//! 2
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//! 1 - t
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//! cos(theta) = ------
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//! 2
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//! 1 + t
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//!
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//! 2t
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//! sin(theta) = ------
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//! 2
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//! 1 + t
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//!
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//! t = tan (theta/2)
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//!
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//! with TgtThetaOver2 the routine will compute the number of spans
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//! using the rule num_spans = [ (ULast - UFirst) / 1.2 ] + 1
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//! with TgtThetaOver2_N, N spans will be forced: an error will
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//! be raized if (ULast - UFirst) >= PI and N = 1,
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//! ULast - UFirst >= 2 PI and N = 2
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//!
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//! QuasiAngular,
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//! here t is a rational function that approximates
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//! theta ----> tan(theta/2).
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//! Neverthless the composing with above function yields exact
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//! functions whose square sum up to 1
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//! RationalC1 ;
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//! t is replaced by a polynomial function of u so as to grant
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//! C1 contiuity across knots.
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//! Exceptions
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//! Standard_DomainError:
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//! - if the curve C is infinite, or
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//! - if C is a (complete) circle or ellipse, and Parameterisation is equal to
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//! Convert_TgtThetaOver2_1 or Convert_TgtThetaOver2_2.
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//! Standard_ConstructionError:
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//! - if C is a (complete) circle or ellipse, and if Parameterisation is not equal to
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//! Convert_TgtThetaOver2, Convert_RationalC1,
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//! Convert_QuasiAngular (the curve is converted
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//! in these three cases) or to Convert_TgtThetaOver2_1 or
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//! Convert_TgtThetaOver2_2 (another exception is raised in these two cases).
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//! - if C is a trimmed circle or ellipse, if Parameterisation is equal to
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//! Convert_TgtThetaOver2_1 and if U2 - U1 > 0.9999 * Pi, where U1 and U2 are
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//! respectively the first and the last parameters of the
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//! trimmed curve (this method of parameterization
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//! cannot be used to convert a half-circle or a half-ellipse, for example), or
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//! - if C is a trimmed circle or ellipse, if
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//! Parameterisation is equal to Convert_TgtThetaOver2_2 and U2 - U1 >
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//! 1.9999 * Pi where U1 and U2 are
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//! respectively the first and the last parameters of the
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//! trimmed curve (this method of parameterization
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//! cannot be used to convert a quasi-complete circle or ellipse).
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Standard_EXPORT static Handle(Geom_BSplineCurve) CurveToBSplineCurve (const Handle(Geom_Curve)& C, const Convert_ParameterisationType Parameterisation = Convert_TgtThetaOver2);
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//! This algorithm converts a non infinite surface from Geom
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//! into a B-spline surface.
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//! S must be a trimmed plane or a trimmed cylinder or a trimmed cone
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//! or a trimmed sphere or a trimmed torus or a sphere or a torus or
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//! a Bezier surface of a trimmed Bezier surface or a trimmed swept
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//! surface with a corresponding basis curve which can be turned into
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//! a B-spline curve (see the method CurveToBSplineCurve).
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//! Raises DomainError if the type of the surface is not previously defined.
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Standard_EXPORT static Handle(Geom_BSplineSurface) SurfaceToBSplineSurface (const Handle(Geom_Surface)& S);
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//! This Method concatenates G1 the ArrayOfCurves as far
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//! as it is possible.
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//! ArrayOfCurves[0..N-1]
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//! ArrayOfToler contains the biggest tolerance of the two
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//! points shared by two consecutives curves.
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//! Its dimension: [0..N-2]
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//! ClosedG1 indicates if the ArrayOfCurves is closed.
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//! In this case ClosedG1 contains the biggest tolerance
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//! of the two points which are at the closure.
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//! Otherwise its value is 0.0
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Standard_EXPORT static void ConcatG1 (TColGeom_Array1OfBSplineCurve& ArrayOfCurves, const TColStd_Array1OfReal& ArrayOfToler, Handle(TColGeom_HArray1OfBSplineCurve)& ArrayOfConcatenated, const Standard_Boolean ClosedG1Flag, const Standard_Real ClosedTolerance);
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//! This Method concatenates C1 the ArrayOfCurves as far
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//! as it is possible.
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//! ArrayOfCurves[0..N-1]
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//! ArrayOfToler contains the biggest tolerance of the two
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//! points shared by two consecutives curves.
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//! Its dimension: [0..N-2]
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//! ClosedG1 indicates if the ArrayOfCurves is closed.
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//! In this case ClosedG1 contains the biggest tolerance
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//! of the two points which are at the closure.
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//! Otherwise its value is 0.0
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Standard_EXPORT static void ConcatC1 (TColGeom_Array1OfBSplineCurve& ArrayOfCurves, const TColStd_Array1OfReal& ArrayOfToler, Handle(TColStd_HArray1OfInteger)& ArrayOfIndices, Handle(TColGeom_HArray1OfBSplineCurve)& ArrayOfConcatenated, const Standard_Boolean ClosedG1Flag, const Standard_Real ClosedTolerance);
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//! This Method concatenates C1 the ArrayOfCurves as far
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//! as it is possible.
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//! ArrayOfCurves[0..N-1]
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//! ArrayOfToler contains the biggest tolerance of the two
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//! points shared by two consecutives curves.
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//! Its dimension: [0..N-2]
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//! ClosedG1 indicates if the ArrayOfCurves is closed.
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//! In this case ClosedG1 contains the biggest tolerance
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//! of the two points which are at the closure.
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//! Otherwise its value is 0.0
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Standard_EXPORT static void ConcatC1 (TColGeom_Array1OfBSplineCurve& ArrayOfCurves, const TColStd_Array1OfReal& ArrayOfToler, Handle(TColStd_HArray1OfInteger)& ArrayOfIndices, Handle(TColGeom_HArray1OfBSplineCurve)& ArrayOfConcatenated, const Standard_Boolean ClosedG1Flag, const Standard_Real ClosedTolerance, const Standard_Real AngularTolerance);
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//! This Method reduces as far as it is possible the
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//! multiplicities of the knots of the BSpline BS.(keeping the
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//! geometry). It returns a new BSpline which could still be C0.
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//! tolerance is a geometrical tolerance.
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//! The Angular toleranceis in radians and mesures the angle of
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//! the tangents on the left and on the right to decide if the
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//! curve is G1 or not at a given point
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Standard_EXPORT static void C0BSplineToC1BSplineCurve (Handle(Geom_BSplineCurve)& BS, const Standard_Real tolerance, const Standard_Real AngularTolerance = 1.0e-7);
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//! This Method reduces as far as it is possible the
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//! multiplicities of the knots of the BSpline BS.(keeping the geometry).
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//! It returns an array of BSpline C1. tolerance is a geometrical tolerance.
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Standard_EXPORT static void C0BSplineToArrayOfC1BSplineCurve (const Handle(Geom_BSplineCurve)& BS, Handle(TColGeom_HArray1OfBSplineCurve)& tabBS, const Standard_Real tolerance);
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//! This Method reduces as far as it is possible the
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//! multiplicities of the knots of the BSpline BS.(keeping the
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//! geometry). It returns an array of BSpline C1. tolerance is a
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//! geometrical tolerance : it allows for the maximum deformation
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//! The Angular tolerance is in radians and mesures the angle of
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//! the tangents on the left and on the right to decide if the curve
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//! is C1 or not at a given point
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Standard_EXPORT static void C0BSplineToArrayOfC1BSplineCurve (const Handle(Geom_BSplineCurve)& BS, Handle(TColGeom_HArray1OfBSplineCurve)& tabBS, const Standard_Real AngularTolerance, const Standard_Real tolerance);
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protected:
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private:
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friend class GeomConvert_BSplineCurveKnotSplitting;
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friend class GeomConvert_BSplineSurfaceKnotSplitting;
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friend class GeomConvert_BSplineCurveToBezierCurve;
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friend class GeomConvert_CompCurveToBSplineCurve;
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friend class GeomConvert_BSplineSurfaceToBezierSurface;
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friend class GeomConvert_CompBezierSurfacesToBSplineSurface;
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friend class GeomConvert_ApproxSurface;
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friend class GeomConvert_ApproxCurve;
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};
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#endif // _GeomConvert_HeaderFile
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