TTK processing package for the computation of Morse-Smale complexes. More...

#include <MorseSmaleComplex.h>

Inheritance diagram for ttk::MorseSmaleComplex:

Classes
struct	Output1Separatrices
	1-Separatrices point and cell data arrays More...

struct	Output2Separatrices
	2-Separatrices point and cell data arrays More...

struct	OutputCriticalPoints
	Critical points data arrays. More...

struct	OutputManifold
	Pointers to pre-allocated segmentation point data arrays. More...

struct	Separatrix

Public Member Functions
	MorseSmaleComplex ()

template<typename dataType, typename triangulationType>
int	execute (OutputCriticalPoints &outCP, Output1Separatrices &outSeps1, Output2Separatrices &outSeps2, OutputManifold &outManifold, const dataType const scalars, const size_t scalarsMTime, const SimplexId const offsets, const triangulationType &triangulation, const unsigned int &seed=0)

void	setComputeCriticalPoints (const bool state)

void	setComputeSeparatrices1 (const bool doAscending, const bool doDescending, const bool doSaddleConnectors)

void	setComputeSeparatrices2 (const bool doAscending, const bool doDescending)

void	setComputeSegmentation (const bool doAscending, const bool doDescending, const bool doMorseSmale)

void	setReturnSaddleConnectors (const bool state)

void	setDiscreteGradientBackend (const DiscreteGradient::BACKEND selectedBackend)

void	setSaddleConnectorsPersistenceThreshold (const double threshold)

void	preconditionTriangulation (AbstractTriangulation *const data)

Public Member Functions inherited from ttk::Debug
	Debug ()

	~Debug () override

virtual int	setDebugLevel (const int &debugLevel)

int	setWrapper (const Wrapper *wrapper) override

int	printMsg (const std::string &msg, const debug::Priority &priority=debug::Priority::INFO, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const std::vector< std::string > &msgs, const debug::Priority &priority=debug::Priority::INFO, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printErr (const std::string &msg, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cerr) const

int	printWrn (const std::string &msg, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cerr) const

int	printMsg (const std::string &msg, const double &progress, const double &time, const int &threads, const double &memory, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const double &time, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const double &time, const int &threads, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::PERFORMANCE, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const double &progress, const debug::Priority &priority, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const std::vector< std::vector< std::string > > &rows, const debug::Priority &priority=debug::Priority::INFO, const bool hasHeader=true, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const debug::Separator &separator, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::INFO, std::ostream &stream=std::cout) const

int	printMsg (const debug::Separator &separator, const debug::Priority &priority, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsg (const std::string &msg, const debug::Separator &separator, const debug::LineMode &lineMode=debug::LineMode::NEW, const debug::Priority &priority=debug::Priority::INFO, std::ostream &stream=std::cout) const

void	setDebugMsgPrefix (const std::string &prefix)

Public Member Functions inherited from ttk::BaseClass
	BaseClass ()

virtual	~BaseClass ()=default

int	getThreadNumber () const

virtual int	setThreadNumber (const int threadNumber)

Protected Member Functions
template<typename triangulationType>
int	getDescendingSeparatrices1 (const std::vector< SimplexId > &saddles, std::vector< Separatrix > &separatrices, const triangulationType &triangulation) const

template<typename triangulationType>
int	getAscendingSeparatrices1 (const std::vector< SimplexId > &saddles, std::vector< Separatrix > &separatrices, const triangulationType &triangulation) const

template<typename triangulationType>
int	getSaddleConnectors (const std::vector< SimplexId > &saddles2, std::vector< Separatrix > &separatrices, const triangulationType &triangulation) const

template<typename triangulationType>
int	setSeparatrices1 (Output1Separatrices &outSeps1, const std::vector< Separatrix > &separatrices, const SimplexId *const offsets, const triangulationType &triangulation) const

template<typename triangulationType>
int	getDescendingSeparatrices2 (const std::vector< SimplexId > &saddles2, std::vector< Separatrix > &separatrices, std::vector< std::vector< SimplexId > > &separatricesSaddles, const triangulationType &triangulation) const

template<typename triangulationType>
int	setDescendingSeparatrices2 (Output2Separatrices &outSeps2, const std::vector< Separatrix > &separatrices, const std::vector< std::vector< SimplexId > > &separatricesSaddles, const SimplexId *const offsets, const triangulationType &triangulation) const

template<typename triangulationType>
int	getDualPolygon (const SimplexId edgeId, SimplexId *const polygon, const size_t polSize, const triangulationType &triangulation) const

template<typename triangulationType>
int	sortDualPolygonVertices (SimplexId *const polygon, const size_t polSize, const triangulationType &triangulation) const

template<typename triangulationType>
int	getAscendingSeparatrices2 (const std::vector< SimplexId > &saddles1, std::vector< Separatrix > &separatrices, std::vector< std::vector< SimplexId > > &separatricesSaddles, const triangulationType &triangulation) const

template<typename triangulationType>
int	setAscendingSeparatrices2 (Output2Separatrices &outSeps2, const std::vector< Separatrix > &separatrices, const std::vector< std::vector< SimplexId > > &separatricesSaddles, const SimplexId *const offsets, const triangulationType &triangulation) const

void	flattenSeparatricesVectors (std::vector< std::vector< Separatrix > > &separatrices) const
	Flatten the vectors of vectors into their first component.

template<typename triangulationType>
int	setAscendingSegmentation (const std::vector< SimplexId > &maxima, SimplexId *const morseSmaleManifold, const triangulationType &triangulation) const

template<typename triangulationType>
int	setDescendingSegmentation (const std::vector< SimplexId > &minima, SimplexId *const morseSmaleManifold, const triangulationType &triangulation) const

template<typename triangulationType>
int	setFinalSegmentation (const SimplexId numberOfMaxima, const SimplexId const ascendingManifold, const SimplexId const descendingManifold, SimplexId *const morseSmaleManifold, const triangulationType &triangulation) const

template<typename dataType, typename triangulationType>
int	returnSaddleConnectors (const double persistenceThreshold, const dataType const scalars, const SimplexId const offsets, const triangulationType &triangulation)

template<typename dataType, typename triangulationType>
int	returnSaddleConnectorsStochastic (const triangulationType &triangulation, const double &persistenceThreshold, const bool &detectCriticalPoints=true)

Protected Member Functions inherited from ttk::Debug
int	printMsgInternal (const std::string &msg, const std::string &right, const std::string &filler, const debug::Priority &priority=debug::Priority::INFO, const debug::LineMode &lineMode=debug::LineMode::NEW, std::ostream &stream=std::cout) const

int	printMsgInternal (const std::string &msg, const debug::Priority &priority, const debug::LineMode &lineMode, std::ostream &stream=std::cout) const

int	welcomeMsg (std::ostream &stream)

Protected Attributes
dcg::DiscreteGradient	discreteGradient_ {}

bool	ComputeCriticalPoints {true}

bool	ComputeAscendingSeparatrices1 {true}

bool	ComputeDescendingSeparatrices1 {true}

bool	ComputeSaddleConnectors {true}

bool	ComputeAscendingSeparatrices2 {false}

bool	ComputeDescendingSeparatrices2 {false}

bool	ComputeAscendingSegmentation {true}

bool	ComputeDescendingSegmentation {true}

bool	ComputeFinalSegmentation {true}

bool	ReturnSaddleConnectors {false}

DiscreteGradient::BACKEND	DiscreteGradientBackend {}

double	SaddleConnectorsPersistenceThreshold {}

bool	ThresholdIsAbsolute {false}

bool	ForceLoopFreeGradient {true}

Protected Attributes inherited from ttk::Debug
int	debugLevel_

std::string	debugMsgPrefix_

std::string	debugMsgNamePrefix_

Protected Attributes inherited from ttk::BaseClass
bool	lastObject_

int	threadNumber_

Wrapper *	wrapper_

Additional Inherited Members
Static Protected Attributes inherited from ttk::Debug
static COMMON_EXPORTS debug::LineMode	lastLineMode = ttk::debug::LineMode::NEW

Detailed Description

TTK processing package for the computation of Morse-Smale complexes.

Author: Guillaume Favelier guill.nosp@m.aume.nosp@m..fave.nosp@m.lier.nosp@m.@lip6.nosp@m..fr; Julien Tierny julie.nosp@m.n.ti.nosp@m.erny@.nosp@m.lip6.nosp@m..fr

Date: February 2017.

Related publications
"The Topology ToolKit"
Julien Tierny, Guillaume Favelier, Joshua Levine, Charles Gueunet, Michael Michaux
IEEE Transactions on Visualization and Computer Graphics (Proc. of IEEE VIS 2017)
"Parallel Computation of 3D Morse-Smale Complexes"
Nithin Shivashankar, Vijay Natarajan
Proc. of EuroVis 2012.
Computer Graphics Forum, 2012.

See also: ttk::Triangulation; ttkMorseSmaleComplex.cpp for a usage example.

Online examples:

Definition at line 95 of file MorseSmaleComplex.h.

Constructor & Destructor Documentation

◆ MorseSmaleComplex()

ttk::MorseSmaleComplex::MorseSmaleComplex ( )

Definition at line 3 of file MorseSmaleComplex.cpp.

Member Function Documentation

◆ execute()

template<typename dataType, typename triangulationType>

int ttk::MorseSmaleComplex::execute	(	OutputCriticalPoints &	outCP,
		Output1Separatrices &	outSeps1,
		Output2Separatrices &	outSeps2,
		OutputManifold &	outManifold,
		const dataType *const	scalars,
		const size_t	scalarsMTime,
		const SimplexId *const	offsets,
		const triangulationType &	triangulation,
		const unsigned int &	seed = 0 )

inline

Main function for computing the Morse-Smale complex.

Precondition: MorseSmaleComplex::preconditionTriangulation must be called prior to this.

Definition at line 451 of file MorseSmaleComplex.h.

◆ flattenSeparatricesVectors()

void ttk::MorseSmaleComplex::flattenSeparatricesVectors ( std::vector< std::vector< Separatrix > > & separatrices ) const

protected

Flatten the vectors of vectors into their first component.

Definition at line 7 of file MorseSmaleComplex.cpp.

◆ getAscendingSeparatrices1()

template<typename triangulationType>

int ttk::MorseSmaleComplex::getAscendingSeparatrices1	(	const std::vector< SimplexId > &	saddles,
		std::vector< Separatrix > &	separatrices,
		const triangulationType &	triangulation ) const

protected

Compute the ascending 1-separatrices by reading into the discrete gradient.

Definition at line 711 of file MorseSmaleComplex.h.

◆ getAscendingSeparatrices2()

template<typename triangulationType>

int ttk::MorseSmaleComplex::getAscendingSeparatrices2	(	const std::vector< SimplexId > &	saddles1,
		std::vector< Separatrix > &	separatrices,
		std::vector< std::vector< SimplexId > > &	separatricesSaddles,
		const triangulationType &	triangulation ) const

protected

Compute the 2-separatrices by reading into the discrete gradient from the minima.

Definition at line 972 of file MorseSmaleComplex.h.

◆ getDescendingSeparatrices1()

template<typename triangulationType>

int ttk::MorseSmaleComplex::getDescendingSeparatrices1	(	const std::vector< SimplexId > &	saddles,
		std::vector< Separatrix > &	separatrices,
		const triangulationType &	triangulation ) const

protected

Compute the descending 1-separatrices by reading into the discrete gradient.

Definition at line 666 of file MorseSmaleComplex.h.

◆ getDescendingSeparatrices2()

template<typename triangulationType>

int ttk::MorseSmaleComplex::getDescendingSeparatrices2	(	const std::vector< SimplexId > &	saddles2,
		std::vector< Separatrix > &	separatrices,
		std::vector< std::vector< SimplexId > > &	separatricesSaddles,
		const triangulationType &	triangulation ) const

protected

Compute the 2-separatrices by reading into the discrete gradient from the maxima.

Definition at line 1013 of file MorseSmaleComplex.h.

◆ getDualPolygon()

template<typename triangulationType>

int ttk::MorseSmaleComplex::getDualPolygon	(	const SimplexId	edgeId,
		SimplexId *const	polygon,
		const size_t	polSize,
		const triangulationType &	triangulation ) const

protected

Find all tetras in the star of edgeId

(primal: star of edgeId -> dual: vertices of polygon)

Definition at line 1056 of file MorseSmaleComplex.h.

◆ getSaddleConnectors()

template<typename triangulationType>

int ttk::MorseSmaleComplex::getSaddleConnectors	(	const std::vector< SimplexId > &	saddles2,
		std::vector< Separatrix > &	separatrices,
		const triangulationType &	triangulation ) const

protected

Compute the saddle-connectors by reading into the discrete gradient.

Definition at line 769 of file MorseSmaleComplex.h.

◆ preconditionTriangulation()

void ttk::MorseSmaleComplex::preconditionTriangulation ( AbstractTriangulation *const data )

inline

Set the input triangulation and preprocess the needed mesh traversal queries.

Definition at line 255 of file MorseSmaleComplex.h.

◆ returnSaddleConnectors()

template<typename dataType, typename triangulationType>

int ttk::MorseSmaleComplex::returnSaddleConnectors	(	const double	persistenceThreshold,
		const dataType *const	scalars,
		const SimplexId *const	offsets,
		const triangulationType &	triangulation )

protected

Definition at line 1748 of file MorseSmaleComplex.h.

◆ returnSaddleConnectorsStochastic()

template<typename dataType, typename triangulationType>

int ttk::MorseSmaleComplex::returnSaddleConnectorsStochastic	(	const triangulationType &	triangulation,
		const double &	persistenceThreshold,
		const bool &	detectCriticalPoints = true )

protected

Definition at line 1891 of file MorseSmaleComplex.h.

◆ setAscendingSegmentation()

template<typename triangulationType>

int ttk::MorseSmaleComplex::setAscendingSegmentation	(	const std::vector< SimplexId > &	maxima,
		SimplexId *const	morseSmaleManifold,
		const triangulationType &	triangulation ) const

protected

Compute the ascending manifold of the maxima.

Definition at line 1511 of file MorseSmaleComplex.h.

◆ setAscendingSeparatrices2()

template<typename triangulationType>

int ttk::MorseSmaleComplex::setAscendingSeparatrices2	(	Output2Separatrices &	outSeps2,
		const std::vector< Separatrix > &	separatrices,
		const std::vector< std::vector< SimplexId > > &	separatricesSaddles,
		const SimplexId *const	offsets,
		const triangulationType &	triangulation ) const

protected

Compute the geometrical embedding of the ascending 2-separatrices.

Definition at line 1107 of file MorseSmaleComplex.h.

◆ setComputeCriticalPoints()

void ttk::MorseSmaleComplex::setComputeCriticalPoints ( const bool state )

inline

Enable/Disable computation of the geometrical embedding of the critical points.

Definition at line 187 of file MorseSmaleComplex.h.

◆ setComputeSegmentation()

void ttk::MorseSmaleComplex::setComputeSegmentation	(	const bool	doAscending,
		const bool	doDescending,
		const bool	doMorseSmale )

inline

Enable/Disable computation of the geometrical embedding of the manifolds of the critical points.

Definition at line 214 of file MorseSmaleComplex.h.

◆ setComputeSeparatrices1()

void ttk::MorseSmaleComplex::setComputeSeparatrices1	(	const bool	doAscending,
		const bool	doDescending,
		const bool	doSaddleConnectors )

inline

Enable/Disable computation of the geometrical embedding of the 1-separatrices.

Definition at line 194 of file MorseSmaleComplex.h.

◆ setComputeSeparatrices2()

void ttk::MorseSmaleComplex::setComputeSeparatrices2	(	const bool	doAscending,
		const bool	doDescending )

inline

Enable/Disable computation of the geometrical embedding of the 2-separatrices (disabled by default).

Definition at line 205 of file MorseSmaleComplex.h.

◆ setDescendingSegmentation()

template<typename triangulationType>

int ttk::MorseSmaleComplex::setDescendingSegmentation	(	const std::vector< SimplexId > &	minima,
		SimplexId *const	morseSmaleManifold,
		const triangulationType &	triangulation ) const

protected

Compute the descending manifold of the minima.

Definition at line 1619 of file MorseSmaleComplex.h.

◆ setDescendingSeparatrices2()

template<typename triangulationType>

int ttk::MorseSmaleComplex::setDescendingSeparatrices2	(	Output2Separatrices &	outSeps2,
		const std::vector< Separatrix > &	separatrices,
		const std::vector< std::vector< SimplexId > > &	separatricesSaddles,
		const SimplexId *const	offsets,
		const triangulationType &	triangulation ) const

protected

Compute the geometrical embedding of the descending 2-separatrices.

Definition at line 1327 of file MorseSmaleComplex.h.

◆ setDiscreteGradientBackend()

void ttk::MorseSmaleComplex::setDiscreteGradientBackend ( const DiscreteGradient::BACKEND selectedBackend )

inline

When true, the discrete gradient will be computed with a discrete backend.

Definition at line 236 of file MorseSmaleComplex.h.

◆ setFinalSegmentation()

template<typename triangulationType>

int ttk::MorseSmaleComplex::setFinalSegmentation	(	const SimplexId	numberOfMaxima,
		const SimplexId *const	ascendingManifold,
		const SimplexId *const	descendingManifold,
		SimplexId *const	morseSmaleManifold,
		const triangulationType &	triangulation ) const

protected

Compute the final combinatorial Morse-Smale complex segmentation.

Definition at line 1683 of file MorseSmaleComplex.h.

◆ setReturnSaddleConnectors()

void ttk::MorseSmaleComplex::setReturnSaddleConnectors ( const bool state )

inline

Enable/Disable post-processing gradient reversal of the (saddle,...,saddle) vpaths under a given persistence threshold (disabled by default).

Definition at line 227 of file MorseSmaleComplex.h.

◆ setSaddleConnectorsPersistenceThreshold()

void ttk::MorseSmaleComplex::setSaddleConnectorsPersistenceThreshold ( const double threshold )

inline

Set the threshold value for post-processing of (saddle,...,saddle) vpaths gradient reversal (default value is 0.0).

Definition at line 247 of file MorseSmaleComplex.h.

◆ setSeparatrices1()

template<typename triangulationType>

int ttk::MorseSmaleComplex::setSeparatrices1	(	Output1Separatrices &	outSeps1,
		const std::vector< Separatrix > &	separatrices,
		const SimplexId *const	offsets,
		const triangulationType &	triangulation ) const

protected

Compute the geometrical embedding of the 1-separatrices.

Definition at line 831 of file MorseSmaleComplex.h.

◆ sortDualPolygonVertices()

template<typename triangulationType>

int ttk::MorseSmaleComplex::sortDualPolygonVertices	(	SimplexId *const	polygon,
		const size_t	polSize,
		const triangulationType &	triangulation ) const

protected

Sort the polygon vertices to be clockwise

Definition at line 1072 of file MorseSmaleComplex.h.

Member Data Documentation

◆ ComputeAscendingSegmentation

bool ttk::MorseSmaleComplex::ComputeAscendingSegmentation {true}

protected

Definition at line 434 of file MorseSmaleComplex.h.

◆ ComputeAscendingSeparatrices1

bool ttk::MorseSmaleComplex::ComputeAscendingSeparatrices1 {true}

protected

Definition at line 429 of file MorseSmaleComplex.h.

◆ ComputeAscendingSeparatrices2

bool ttk::MorseSmaleComplex::ComputeAscendingSeparatrices2 {false}

protected

Definition at line 432 of file MorseSmaleComplex.h.

◆ ComputeCriticalPoints

bool ttk::MorseSmaleComplex::ComputeCriticalPoints {true}

protected

Definition at line 428 of file MorseSmaleComplex.h.

◆ ComputeDescendingSegmentation

bool ttk::MorseSmaleComplex::ComputeDescendingSegmentation {true}

protected

Definition at line 435 of file MorseSmaleComplex.h.

◆ ComputeDescendingSeparatrices1

bool ttk::MorseSmaleComplex::ComputeDescendingSeparatrices1 {true}

protected

Definition at line 430 of file MorseSmaleComplex.h.

◆ ComputeDescendingSeparatrices2

bool ttk::MorseSmaleComplex::ComputeDescendingSeparatrices2 {false}

protected

Definition at line 433 of file MorseSmaleComplex.h.

◆ ComputeFinalSegmentation

bool ttk::MorseSmaleComplex::ComputeFinalSegmentation {true}

protected

Definition at line 436 of file MorseSmaleComplex.h.

◆ ComputeSaddleConnectors

bool ttk::MorseSmaleComplex::ComputeSaddleConnectors {true}

protected

Definition at line 431 of file MorseSmaleComplex.h.

◆ discreteGradient_

dcg::DiscreteGradient ttk::MorseSmaleComplex::discreteGradient_ {}

protected

Definition at line 426 of file MorseSmaleComplex.h.

◆ DiscreteGradientBackend

DiscreteGradient::BACKEND ttk::MorseSmaleComplex::DiscreteGradientBackend {}

protected

Definition at line 439 of file MorseSmaleComplex.h.

◆ ForceLoopFreeGradient

bool ttk::MorseSmaleComplex::ForceLoopFreeGradient {true}

protected

Definition at line 442 of file MorseSmaleComplex.h.

◆ ReturnSaddleConnectors

bool ttk::MorseSmaleComplex::ReturnSaddleConnectors {false}

protected

Definition at line 438 of file MorseSmaleComplex.h.

◆ SaddleConnectorsPersistenceThreshold

double ttk::MorseSmaleComplex::SaddleConnectorsPersistenceThreshold {}

protected

Definition at line 440 of file MorseSmaleComplex.h.

◆ ThresholdIsAbsolute

bool ttk::MorseSmaleComplex::ThresholdIsAbsolute {false}

protected

Definition at line 441 of file MorseSmaleComplex.h.

The documentation for this class was generated from the following files:

/home/julien/Pro/git/github/thomas/ttk-dani/core/base/morseSmaleComplex/MorseSmaleComplex.h
/home/julien/Pro/git/github/thomas/ttk-dani/core/base/morseSmaleComplex/MorseSmaleComplex.cpp

Classes

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MorseSmaleComplex()

Member Function Documentation

◆ execute()

◆ flattenSeparatricesVectors()

◆ getAscendingSeparatrices1()

◆ getAscendingSeparatrices2()

◆ getDescendingSeparatrices1()

◆ getDescendingSeparatrices2()

◆ getDualPolygon()

◆ getSaddleConnectors()

◆ preconditionTriangulation()

◆ returnSaddleConnectors()

◆ returnSaddleConnectorsStochastic()

◆ setAscendingSegmentation()

◆ setAscendingSeparatrices2()

◆ setComputeCriticalPoints()

◆ setComputeSegmentation()

◆ setComputeSeparatrices1()

◆ setComputeSeparatrices2()

◆ setDescendingSegmentation()

◆ setDescendingSeparatrices2()

◆ setDiscreteGradientBackend()

◆ setFinalSegmentation()

◆ setReturnSaddleConnectors()

◆ setSaddleConnectorsPersistenceThreshold()

◆ setSeparatrices1()

◆ sortDualPolygonVertices()

Member Data Documentation

◆ ComputeAscendingSegmentation

◆ ComputeAscendingSeparatrices1

◆ ComputeAscendingSeparatrices2

◆ ComputeCriticalPoints

◆ ComputeDescendingSegmentation

◆ ComputeDescendingSeparatrices1

◆ ComputeDescendingSeparatrices2

◆ ComputeFinalSegmentation

◆ ComputeSaddleConnectors

◆ discreteGradient_

◆ DiscreteGradientBackend

◆ ForceLoopFreeGradient

◆ ReturnSaddleConnectors

◆ SaddleConnectorsPersistenceThreshold

◆ ThresholdIsAbsolute