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b315a85dd7
New method for recognizing cylindrical surfaces based on analysis Gaussian field of initial surface is added in class GeomConvert_SurfToAnaSurf
78 lines
2.7 KiB
C++
78 lines
2.7 KiB
C++
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// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2022 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_FuncSphereLSDist_HeaderFile
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#define _GeomConvert_FuncSphereLSDist_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <math_MultipleVarFunctionWithGradient.hxx>
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#include <TColgp_HArray1OfXYZ.hxx>
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#include <math_Vector.hxx>
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//! Function for search of sphere canonic parameters: coordinates of center and radius from set of moints
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//! by least square method.
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//! //!
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//! The class inherits math_MultipleVarFunctionWithGradient and thus is intended
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//! for use in math_BFGS algorithm.
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//!
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//! The criteria is:
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//! F(x0, y0, z0, R) = Sum[(x(i) - x0)^2 + (y(i) - y0)^2 + (z(i) - z0)^2 - R^2]^2 => min,
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//! x(i), y(i), z(i) - coordinates of sample points, x0, y0, z0, R - coordinates of center and radius of sphere,
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//! which must be defined
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//!
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//! The first derivative are:
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//! dF/dx0 : G1(x0, y0, z0, R) = -4*Sum{[...]*(x(i) - x0)}
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//! dF/dy0 : G2(x0, y0, z0, R) = -4*Sum{[...]*(y(i) - y0)}
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//! dF/dz0 : G3(x0, y0, z0, R) = -4*Sum{[...]*(z(i) - z0)}
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//! dF/dR : G4(x0, y0, z0, R) = -4*R*Sum[...]
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//! [...] = [(x(i) - x0)^2 + (y(i) - y0)^2 + (z(i) - z0)^2 - R^2]
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//!
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class GeomConvert_FuncSphereLSDist : public math_MultipleVarFunctionWithGradient
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Constructor.
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Standard_EXPORT GeomConvert_FuncSphereLSDist() {};
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Standard_EXPORT GeomConvert_FuncSphereLSDist(const Handle(TColgp_HArray1OfXYZ)& thePoints);
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void SetPoints(const Handle(TColgp_HArray1OfXYZ)& thePoints)
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{
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myPoints = thePoints;
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}
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//! Number of variables.
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Standard_EXPORT Standard_Integer NbVariables() const Standard_OVERRIDE;
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//! Value.
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Standard_EXPORT Standard_Boolean Value(const math_Vector& X,Standard_Real& F) Standard_OVERRIDE;
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//! Gradient.
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Standard_EXPORT Standard_Boolean Gradient(const math_Vector& X,math_Vector& G) Standard_OVERRIDE;
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//! Value and gradient.
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Standard_EXPORT Standard_Boolean Values(const math_Vector& X,Standard_Real& F,math_Vector& G) Standard_OVERRIDE;
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private:
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Handle(TColgp_HArray1OfXYZ) myPoints;
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};
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#endif // _GeomConvert_FuncSphereLSDist_HeaderFile
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