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/****************************************************************************
* MeshLab o o *
* A versatile mesh processing toolbox o o *
* _ O _ *
* Copyright(C) 2005 \/)\/ *
* Visual Computing Lab /\/| *
* ISTI - Italian National Research Council | *
* \ *
* All rights reserved. *
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
* for more details. *
* *
****************************************************************************/
#ifndef MLSSURFACE_H
#define MLSSURFACE_H
#include "balltree.h"
#include <vcg/space/box3.h>
#include <vcg/math/matrix33.h>
#include <iostream>
namespace GaelMls {
enum {
MLS_OK,
MLS_TOO_FAR,
MLS_TOO_MANY_ITERS,
MLS_NOT_SUPPORTED,
MLS_DERIVATIVE_ACCURATE,
MLS_DERIVATIVE_APPROX,
MLS_DERIVATIVE_FINITEDIFF
};
template<typename MeshType>
class MlsSurface
{
public:
typedef typename MeshType::ScalarType Scalar;
typedef vcg::Point3<Scalar> VectorType;
typedef vcg::Matrix33<Scalar> MatrixType;
typedef typename MeshType::VertContainer PointsType;
MlsSurface(const MeshType& mesh)
: mMesh(mesh), mPoints(mesh.vert)
{
mCachedQueryPointIsOK = false;
mAABB = mesh.bbox;
// compute radii using a basic meshless density estimator
if (!mPoints.RadiusEnabled)
{
const_cast<PointsType&>(mPoints).EnableRadius();
computeVertexRaddi();
}
mFilterScale = 4.0;
mMaxNofProjectionIterations = 20;
mProjectionAccuracy = (Scalar)1e-4;
mBallTree = 0;
mGradientHint = MLS_DERIVATIVE_ACCURATE;
mHessianHint = MLS_DERIVATIVE_ACCURATE;
mDomainMinNofNeighbors = 4;
mDomainRadiusScale = 2.;
mDomainNormalScale = 1.;
}
/** \returns the value of the reconstructed scalar field at point \a x */
virtual Scalar potential(const VectorType& x, int* errorMask = 0) const = 0;
/** \returns the gradient of the reconstructed scalar field at point \a x
*
* The method used to compute the gradient can be controlled with setGradientHint().
*/
virtual VectorType gradient(const VectorType& x, int* errorMask = 0) const = 0;
/** \returns the hessian matrix of the reconstructed scalar field at point \a x
*
* The method used to compute the hessian matrix can be controlled with setHessianHint().
*/
virtual MatrixType hessian(const VectorType& x, int* errorMask = 0) const
{ if (errorMask) *errorMask = MLS_NOT_SUPPORTED; return MatrixType(); }
/** \returns the projection of point x onto the MLS surface, and optionnaly returns the normal in \a pNormal */
virtual VectorType project(const VectorType& x, VectorType* pNormal = 0, int* errorMask = 0) const = 0;
/** \returns whether \a x is inside the restricted surface definition domain */
virtual bool isInDomain(const VectorType& x) const;
/** \returns the mean curvature from the gradient vector and Hessian matrix.
*/
Scalar meanCurvature(const VectorType& gradient, const MatrixType& hessian) const;
/** set the scale of the spatial filter */
void setFilterScale(Scalar v);
/** set the maximum number of iterations during the projection */
void setMaxProjectionIters(int n);
/** set the threshold factor to detect convergence of the iterations */
void setProjectionAccuracy(Scalar v);
/** set a hint on how to compute the gradient
*
* Possible values are MLS_DERIVATIVE_ACCURATE, MLS_DERIVATIVE_APPROX, MLS_DERIVATIVE_FINITEDIFF
*/
void setGradientHint(int h);
/** set a hint on how to compute the hessian matrix
*
* Possible values are MLS_DERIVATIVE_ACCURATE, MLS_DERIVATIVE_APPROX, MLS_DERIVATIVE_FINITEDIFF
*/
void setHessianHint(int h);
inline const MeshType& mesh() const { return mMesh; }
/** a shortcut for mesh().vert */
inline const PointsType& points() const { return mPoints; }
inline ConstDataWrapper<VectorType> positions() const
{
return ConstDataWrapper<VectorType>(&mPoints[0].cP(), mPoints.size(),
size_t(mPoints[1].cP().V()) - size_t(mPoints[0].cP().V()));
}
inline ConstDataWrapper<VectorType> normals() const
{
return ConstDataWrapper<VectorType>(&mPoints[0].cN(), mPoints.size(),
size_t(mPoints[1].cN().V()) - size_t(mPoints[0].cN().V()));
}
inline ConstDataWrapper<Scalar> radii() const
{
return ConstDataWrapper<Scalar>(&mPoints[0].cR(), mPoints.size(),
size_t(&mPoints[1].cR()) - size_t(&mPoints[0].cR()));
}
const vcg::Box3<Scalar>& boundingBox() const { return mAABB; }
static const Scalar InvalidValue() { return Scalar(12345679810.11121314151617); }
void computeVertexRaddi(const int nbNeighbors = 16);
protected:
void computeNeighborhood(const VectorType& x, bool computeDerivatives) const;
void requestSecondDerivatives() const;
struct PointToPointSqDist
{
inline bool operator()(const VectorType &a, const VectorType &b, Scalar& refD2, VectorType &q) const
{
// std::cout << a.X() << a.Y() << a.Z() << " - " << b.X() << b.Y() << b.Z() <<
// " => " << vcg::Distance(a, b) << " < " << refD2 << "\n";
Scalar d2 = vcg::SquaredDistance(a, b);
if (d2>refD2)
return false;
refD2 = d2;
q = a;
return true;
}
};
class DummyObjectMarker {};
protected:
const MeshType& mMesh;
const PointsType& mPoints;
vcg::Box3<Scalar> mAABB;
int mGradientHint;
int mHessianHint;
BallTree<Scalar>* mBallTree;
int mMaxNofProjectionIterations;
Scalar mFilterScale;
Scalar mAveragePointSpacing;
Scalar mProjectionAccuracy;
int mDomainMinNofNeighbors;
float mDomainRadiusScale;
float mDomainNormalScale;
// cached values:
mutable bool mCachedQueryPointIsOK;
mutable VectorType mCachedQueryPoint;
mutable Neighborhood<Scalar> mNeighborhood;
mutable std::vector<Scalar> mCachedWeights;
mutable std::vector<Scalar> mCachedWeightDerivatives;
mutable std::vector<VectorType> mCachedWeightGradients;
mutable std::vector<Scalar> mCachedWeightSecondDerivatives;
};
} // namespace
#include "mlssurface.tpp"
#endif // MLSSURFACE_H
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