/usr/include/libwildmagic/Wm5IntpThinPlateSpline3.h is in libwildmagic-dev 5.13-1ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 | // Geometric Tools, LLC
// 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: 5.0.2 (2011/05/22)
#ifndef WM5INTPTHINPLATESPLINE3_H
#define WM5INTPTHINPLATESPLINE3_H
// WARNING. The implementation allows you to transform the inputs (x,y,z) to
// the unit cube and perform the interpolation in that space. The idea is
// to keep the floating-point numbers to order 1 for numerical stability of
// the algorithm. The classical thin-plate spline algorithm does not include
// this transformation. The interpolation is invariant to translations and
// rotations of (x,y,z) but not to scaling.
#include "Wm5MathematicsLIB.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM IntpThinPlateSpline3
{
public:
// Construction and destruction. Data points are (x,y,z,f(x,y,z)). The
// smoothing parameter must be nonnegative. If you want the class to
// delete the input arrays during destruction, set owner to 'true';
// otherwise, you own the arrays and must delete them yourself.
IntpThinPlateSpline3 (int quantity, Real* X, Real* Y, Real* Z,
Real* F, Real smooth, bool owner, bool transformToUnitCube);
~IntpThinPlateSpline3 ();
// Check this after the constructor call to see if the thin plate spline
// coefficients were successfully computed. If so, then calls to
// operator()(Real,Real,Real) will work properly.
bool IsInitialized () const;
// Member access. There are 'quantity' A[] coefficients and 4 B[]
// coefficients. The A[] coefficients are associated with the Green's
// functions G(x,y,z,*) and the B[] coefficients are associated with the
// affine term (linear polynomial B[0]+B[1]*x+B[2]*y+B[3]*z).
const Real* GetACoefficients () const;
const Real* GetBCoefficients () const;
Real GetSmooth () const; // The smoothing parameter from the constructor.
// Compute the functional value a^T*M*a when lambda is zero or
// lambda*w^T*(M+lambda*I)*w when lambda is positive. See the thin-plate
// splines PDF for a description of these quantities.
Real ComputeFunctional () const;
// Evaluate the thin plate spline interpolator. If IsInitialized()
// returns 'false', this operator will always return MAX_REAL.
Real operator() (Real x, Real y, Real z);
// Kernel(t) = |t|
static Real Kernel (Real t);
private:
bool mInitialized;
int mQuantity;
// Input data.
Real* mX;
Real* mY;
Real* mZ;
Real mSmooth;
// Thin plate spline coefficients.
Real* mA;
Real mB[4];
// Extent of input data.
Real mXMin, mXMax, mXInvRange;
Real mYMin, mYMax, mYInvRange;
Real mZMin, mZMax, mZInvRange;
};
typedef IntpThinPlateSpline3<float> IntpThinPlateSpline3f;
typedef IntpThinPlateSpline3<double> IntpThinPlateSpline3d;
}
#endif
|