gsModelingUtils.hpp File Reference

Utility functions required by gsModeling classes. More...

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Namespaces
namespace	gismo
	The G+Smo namespace, containing all definitions for the library.

Functions
template<class T >
void	addConstraints (gsMatrix< T > const &C1, gsMatrix< T > const &d1, gsMatrix< T > const &C2, gsMatrix< T > const &d2, gsMatrix< T > &C, gsMatrix< T > &d)
	addConstraints
template<class T >
T	conditionedAngle (gsVector3d< T > vec1, gsVector3d< T > vec2)
	Angle between two vector: 0 <= angle <= pi.
template<class T >
T	conditionedAngle (gsVector3d< T > vec1, gsVector3d< T > vec2, gsVector3d< T > normal)
template<class T >
gsMatrix< T >	convert2Zero (gsMatrix< T > const &mat)
	convert a with abs(a) < eps=2.220446049250313e-16 into 0
template<class T >
gsVector< T >	criticalPointOfQuadratic (gsMatrix< T > &A, gsMatrix< T > &C, gsVector< T > &d)
template<class T >
gsMatrix< T >	criticalPointOfQuadratic (gsMatrix< T > const &A, gsMatrix< T > const &b, gsMatrix< T > const &C, gsMatrix< T > const &d)
template<class T >
gsMatrix< T >	criticalPointOfQuadratic (gsMatrix< T > const &A, gsMatrix< T > const &C, gsMatrix< T > const &d)
template<class T >
gsMatrix< T >	crossNorm2Mat (gsMatrix< T > const &mat1, gsMatrix< T > const &mat2)
template<class T >
gsMatrix< T >	flipLR (const gsMatrix< T > &mat)
	Flip columes from left to right and vice versa.
template<class T >
gsBSpline< T >	gsInterpolate (gsKnotVector< T > &kv, const gsMatrix< T > &preImage, const gsMatrix< T > &image, const gsMatrix< T > &preNormal, const gsMatrix< T > &normal, const gsMatrix< T > &preImageApp, const gsMatrix< T > &imageApp, T const &w_reg, T const &w_app, gsMatrix< T > &outPointResiduals, gsMatrix< T > &outNormalResiduals)
template<class T >
gsTensorBSpline< 2, T >::Ptr	gsInterpolateSurface (const gsMatrix< T > &exactPoints, const gsMatrix< T > &exactValues, const gsMatrix< T > &appxPointsEdges, const gsMatrix< T > &appxValuesEdges, const gsMatrix< T > &appxPointsInt, const gsMatrix< T > &appxValuesInt, const gsMatrix< T > &appxNormalPoints, const gsMatrix< T > &appxNormals, T wEdge, T wInt, T wNormal, T wReg, const gsKnotVector< T > &kv1, const gsKnotVector< T > &kv2, bool force_normal)
template<class T >
gsMatrix< T >	optQuadratic (gsMatrix< T > const &A, gsMatrix< T > const &b, gsMatrix< T > const &C, gsMatrix< T > const &d)
	Find X which solves: min (AX-b)^T (AX-b), s.t. CX=d.
template<class T >
gsMatrix< T >	optQuadratic (gsMatrix< T > const &A1, gsMatrix< T > const &b1, T const &w1, gsMatrix< T > const &A2, gsMatrix< T > const &b2, T const &w2, gsMatrix< T > const &C, gsMatrix< T > const &d)
	Find X which solves: min w_1 (A_1 X-b_1)^T (A_1 X-b_1) + w_2 (A_2 X-b_2)^T (A_2 X-b_2), s.t. CX=d.
template<class T >
gsMatrix< T >	optQuadratic (gsMatrix< T > const &A1, gsMatrix< T > const &b1, T const &w1, gsMatrix< T > const &A2, gsMatrix< T > const &b2, T const &w2, gsMatrix< T > const &C, gsMatrix< T > const &d, T const &w3, gsMatrix< T > const &Q)
template<class T >
void	removeCol (gsMatrix< T > &mat, int const &removeEnds, int const &nPoints)
	remove columes 0, nPoints, 2*nPoints,.. of a given matrix
template<class T >
void	sampleGridGeometry (const gsMultiPatch< T > &mp, const index_t &numPatch, const index_t &numSamples, gsMatrix< T > &params, gsMatrix< T > &points)
	sampleGridGeometry: samples a grid point cloud from a given geometry
template<class T >
void	sampleScatteredGeometry (const gsMultiPatch< T > &mp, const index_t &numPatch, const index_t &numSamples, index_t &numBdr, gsMatrix< T > &params, gsMatrix< T > &points)
	sampleScatteredGeometry: samples a scattered point cloud from a given geometry
template<class T >
void	scaleFrom01 (T tMin, gsGeometry< T > &geo, T tMax, bool verbose)
	Scale the geometry geo from [0, 1]^D to [tMin, tMax]^D.
template<class T >
void	scaleFrom01 (T tMin, gsMatrix< T > &mT, T tMax, bool verbose)
	Scale the matrix mT entries from [0, 1] to [tMin, tMax].
template<class T >
T	scaleFrom01 (T tMin, T t, T tMax)
	Scale the inteval [0,1] to [tMin, tMax].
template<class T >
void	scaleGeo (const std::string &fin, const std::string &fout, T tMin, T tMax, bool verbose)
	Scale the geometry contained in file fin from [0, 1]^D to [tMin, tMax]^D and save it to fout.
template<class T >
void	scalePoints (const gsMatrix< T > &xyz, gsMatrix< T > &points)
	Function to scale the input points xyz in [0,1]^D and saves it to points.
template<class T >
void	scalePts (const std::string &fin, const std::string &fout, index_t uvIdIn, index_t uvIdOut, index_t xyzIdIn, index_t xyzIdOut, T tMin, T tMax, bool verbose)
	Scale the points contained in file fin from [0, 1]^D to [tMin, tMax]^D and save it to fout.
template<class T >
void	scaleTo01 (gsMatrix< T > &xyz, bool verbose)
	Scale the matrix xyz entries to [0, 1]^D.
template<class T >
void	scaleTo01 (real_t tMin, gsMatrix< T > &mT, real_t tMax)
	Scale the matrix mT entries to [0, 1].
template<class T >
T	scaleTo01 (T tMin, T t, T tMax)
	Scale the interval [tMin, tMax] to [0, 1].
template<class T >
void	sortPointCloud (gsMatrix< T > &parameters, gsMatrix< T > &points, std::vector< index_t > &corners)
	sortPointCloud: sorts the point cloud into interior and boundary points. parameters and points ordered by : interior (parameters/points) and boundary (parameters/points) ordered anticlockwise south-east-north-west edges, plus the 4 corner domains stored in a vector [c1, c2, c3, c4].
template<class T >
void	threeOnDiag (const gsSparseMatrix< T > &block, gsSparseMatrix< T > &result)
template<class T >
gsVector< T >	vectorIntersect (gsVector< T > const &tangent1, gsVector< T > const &tangent2, gsMatrix< T > const &Vert1, gsMatrix< T > const &Vert2)
	intersection of two vectors

Detailed Description

Utility functions required by gsModeling classes.

This file is part of the G+Smo library.

This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

Author(s): A. Mantzaflaris, D.-M. Nguyen, M. Pauley