Analysis of a Morse Smale Witten chain complex.
More...
#include <Morse_theory_based_analyzer.hpp>
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| T_Morse_theory_based_analyzer (MorseSmaleWittenChainComplex &complex) |
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| template<class OutputIterator > |
| OutputIterator | get_paths (OutputIterator out) const |
| | Returns the set of paths between pairs of 0-saddle points through a 1-saddle point. More...
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| template<class OutputIterator > |
| OutputIterator | get_stable_manifold_partition (OutputIterator out, bool skip_saddle_SM) const |
| | Returns the partition of stable manifolds for each critical vertex. The data type for stable manifolds is determined by the MorseSmaleWittenChainComplex data structure and is by default a list of points. More...
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| const Disconnectivity_forest & | get_disconnectivity_forest (void) const |
| | Returns the disconnectivity forest. More...
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| FT | get_Morse_function_value (Disconnectivity_vertex u) const |
| | Returns the value associated to a vertex in the disconnectivity forest. More...
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| const Point & | get_point (Disconnectivity_vertex u) const |
| | Returns the point associated to a vertex in the disconnectivity forest. More...
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| template<class OutputIterator > |
| OutputIterator | get_connected_component (Disconnectivity_vertex u, const FT &threshold, OutputIterator out) const |
| | Returns the set of points under the input threshold in the same component as the input vertex. More...
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| template<class OutputIterator > |
| OutputIterator | get_connected_component (Disconnectivity_vertex u, Disconnectivity_vertex v, const FT &threshold, OutputIterator out) const |
| | Returns the set of points in the component born with u and dead with v. More...
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| template<class OutputIterator > |
| OutputIterator | get_connected_component_before_death (Disconnectivity_vertex u, Disconnectivity_vertex v, OutputIterator out) const |
| | Same as before but the threshold is set to the upper bound of the stable manifold of u. More...
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| template<class OutputIterator > |
| OutputIterator | get_sublevelsets_connected_components (const FT &threshold, OutputIterator out) const |
| | Returns the all sub-level sets at a given threshold, that are the connected components of points having a value below the input threshold. More...
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| void | simplify (const FT &persistence) |
| | Eliminates the saddles with a persistence below the input threshold by removing them from the MSW chain complex (this operation requires recomputing the disconnectivity forest and the persistence diagram) More...
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template<class MorseSmaleWittenChainComplex>
class SBL::GT::T_Morse_theory_based_analyzer< MorseSmaleWittenChainComplex >
Analysis of a Morse Smale Witten chain complex.
- Template Parameters
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| MorseSmaleWittenChainComplex | Hasse diagram representing the Morse Smale Witten chain complex. |
◆ get_connected_component() [1/2]
| OutputIterator get_connected_component |
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Disconnectivity_vertex |
u, |
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const FT & |
threshold, |
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OutputIterator |
out |
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Returns the set of points under the input threshold in the same component as the input vertex.
◆ get_connected_component() [2/2]
| OutputIterator get_connected_component |
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Disconnectivity_vertex |
u, |
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Disconnectivity_vertex |
v, |
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const FT & |
threshold, |
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OutputIterator |
out |
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Returns the set of points in the component born with u and dead with v.
◆ get_connected_component_before_death()
| OutputIterator get_connected_component_before_death |
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Disconnectivity_vertex |
u, |
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Disconnectivity_vertex |
v, |
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OutputIterator |
out |
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Same as before but the threshold is set to the upper bound of the stable manifold of u.
◆ get_disconnectivity_forest()
Returns the disconnectivity forest.
◆ get_infinite_persistent_critical_vertices()
| OutputIterator get_infinite_persistent_critical_vertices |
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OutputIterator |
out | ) |
const |
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Returns the set of 0-saddle vertices with an infinite persistence.
◆ get_Morse_function_value()
Returns the value associated to a vertex in the disconnectivity forest.
◆ get_paths()
| OutputIterator get_paths |
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OutputIterator |
out | ) |
const |
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Returns the set of paths between pairs of 0-saddle points through a 1-saddle point.
◆ get_persistence_diagram() [1/2]
| OutputIterator get_persistence_diagram |
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OutputIterator |
out | ) |
const |
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Same as before but copy it in an output container.
◆ get_persistence_diagram() [2/2]
Returns the persistence diagram as a sorted set of pairs of vertices (0-saddle, 1-saddle) in the disconnectivity forest
◆ get_persistence_intervals()
| OutputIterator get_persistence_intervals |
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OutputIterator |
out | ) |
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Returns the persistence intervals associated to the pairs of vertices in the persistence diagram.
◆ get_point()
Returns the point associated to a vertex in the disconnectivity forest.
◆ get_stable_manifold_partition()
| OutputIterator get_stable_manifold_partition |
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OutputIterator |
out, |
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bool |
skip_saddle_SM |
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Returns the partition of stable manifolds for each critical vertex. The data type for stable manifolds is determined by the MorseSmaleWittenChainComplex data structure and is by default a list of points.
◆ get_sublevelsets_connected_components()
| OutputIterator get_sublevelsets_connected_components |
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const FT & |
threshold, |
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OutputIterator |
out |
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Returns the all sub-level sets at a given threshold, that are the connected components of points having a value below the input threshold.
◆ simplify()
| void simplify |
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const FT & |
persistence | ) |
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Eliminates the saddles with a persistence below the input threshold by removing them from the MSW chain complex (this operation requires recomputing the disconnectivity forest and the persistence diagram)
1.9.1