/usr/include/libwildmagic/Wm5ApprCylinderFit3.h is in libwildmagic-dev 5.13-1ubuntu3.
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// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#ifndef WM5APPRCYLINDERFIT3_H
#define WM5APPRCYLINDERFIT3_H
// Least-squares fit of a finite cylinder to (x,y,z) data. The cylinder has
// center C, unit-length axis direction U, radius r, and height h. The end
// disks of the cylinder are at C+(h/2)*U and C-(h/2)*U. A point X is on the
// cylinder wall if (X-C)^T*(I-U*U^T)*(X-C) = r^2. A point X is on the end
// disk at C+(h/2)*U if Dot(U,X-C) = h/2 and (X-C)^T*(I-U*U^T)*(X-C) <= r^2.
// A point X is on the end disk at C-(h/2)*U if Dot(U,X-C) = -h/2 and
// (X-C)^T*(I-U*U^T)*(X-C) <= r^2.
// The inputs are the quantity of points and the point array. The outputs
// are the center C, unit-length axis direction U, radius R, and height H.
// You can supply initial guesses for C and U. In this case you need to set
// bInputsAreInitialGuess to 'true'. Otherwise set it to 'false' and the
// function will select C and U by first fitting the data with a least-squares
// line. The return function value is the error for the least-squares fit,
// e >= 0. If all the points lie exactly on a cylinder, then e = 0.
//
// You can examine the error e and iterate the calls yourself. The outputs
// C, U, R, and H can be fed back into the function call as initial guesses.
//
// Real error0 = CylinderFit3<Real>(numPoints,points,C,U,R,H,false);
// for (i = 1; i <= imax; i++)
// {
// Real error1 = CylinderFit3<Real>(numPoints,points,C,U,R,H,true);
// if (eError1 not changed much from error0)
// break;
// }
#include "Wm5MathematicsLIB.h"
#include "Wm5Vector3.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM CylinderFit3
{
public:
CylinderFit3 (int numPoints, const Vector3<Real>* points,
Vector3<Real>& center, Vector3<Real>& axis, Real& radius,
Real& height, bool inputsAreInitialGuess);
// Return the error value.
operator Real ();
private:
static Real UpdateInvRSqr (int numPoints, const Vector3<Real>* points,
const Vector3<Real>& center, const Vector3<Real>& axis,
Real& invRadiusSqr);
static Real UpdateDirection (int numPoints, const Vector3<Real>* points,
const Vector3<Real>& center, Vector3<Real>& axis,
Real& invRadiusSqr);
static Real UpdateCenter (int numPoints, const Vector3<Real>* points,
Vector3<Real>& center, const Vector3<Real>& axis,
const Real& invRadiusSqr);
Real mError;
};
typedef CylinderFit3<float> CylinderFit3f;
typedef CylinderFit3<double> CylinderFit3d;
}
#endif
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