ttk::rpd Namespace Reference

Classes
class	BoundaryContainer
struct	FiltratedEdge
struct	FiltratedQuadEdge
struct	FiltratedTriangle
class	PairCells
	TTK base class that executes the PairCells persistence algorithm on a Rips complex. More...
class	PairCellsWithOracle
	TTK base class that partially executes on a Rips complex the PairCells persistence algorithm where needed, when the persistence pairs are already known. More...
class	UnionFind

Typedefs
using	id_t = int
using	value_t = double
using	PointCloud = std::vector<std::vector<value_t>>
using	Simplex = std::vector<id_t>
using	FiltratedSimplex = std::pair<Simplex, value_t>
using	PersistencePair = std::pair<FiltratedSimplex, FiltratedSimplex>
using	Diagram = std::vector<PersistencePair>
using	MultidimensionalDiagram = std::vector<Diagram>
using	Edge = std::pair<id_t, id_t>
using	EdgeSet = std::vector<Edge>
using	EdgeSets3 = std::array<EdgeSet, 3>
using	EdgeSets4 = std::array<EdgeSet, 4>
using	Cascade = EdgeSet
using	Facet = std::array<id_t, 3>
using	Generator1 = std::pair<std::vector<Edge>, std::pair<value_t, value_t>>
using	Generator2 = std::pair<std::vector<Facet>, std::pair<value_t, value_t>>

Enumerations
enum	CRIT { DEATH0 , BIRTH1 , DEATH1 , CASC1 }

Functions
FiltratedEdge	max (const FiltratedEdge &a, const FiltratedEdge &b)
bool	operator< (const FiltratedEdge &e1, const FiltratedEdge &e2)
bool	operator< (const FiltratedTriangle &f1, const FiltratedTriangle &f2)

Variables
constexpr value_t	inf = std::numeric_limits<value_t>::infinity()

Detailed Description

Author

Mattéo Clémot matte.nosp@m.o.cl.nosp@m.emot@.nosp@m.univ.nosp@m.-lyon.nosp@m.1.fr

Date

January 2024.

Typedef Documentation

Cascade

using ttk::rpd::Cascade = EdgeSet

Definition at line 30 of file RipsPersistenceDiagramUtils.h.

Diagram

using ttk::rpd::Diagram = std::vector<PersistencePair>

Definition at line 22 of file RipsPersistenceDiagramUtils.h.

Edge

using ttk::rpd::Edge = std::pair<id_t, id_t>

Definition at line 25 of file RipsPersistenceDiagramUtils.h.

EdgeSet

using ttk::rpd::EdgeSet = std::vector<Edge>

Definition at line 26 of file RipsPersistenceDiagramUtils.h.

EdgeSets3

using ttk::rpd::EdgeSets3 = std::array<EdgeSet, 3>

Definition at line 27 of file RipsPersistenceDiagramUtils.h.

EdgeSets4

using ttk::rpd::EdgeSets4 = std::array<EdgeSet, 4>

Definition at line 28 of file RipsPersistenceDiagramUtils.h.

Facet

using ttk::rpd::Facet = std::array<id_t, 3>

Definition at line 32 of file RipsPersistenceDiagramUtils.h.

FiltratedSimplex

using ttk::rpd::FiltratedSimplex = std::pair<Simplex, value_t>

Definition at line 20 of file RipsPersistenceDiagramUtils.h.

Generator1

using ttk::rpd::Generator1 = std::pair<std::vector<Edge>, std::pair<value_t, value_t>>

Definition at line 33 of file RipsPersistenceDiagramUtils.h.

Generator2

using ttk::rpd::Generator2 = std::pair<std::vector<Facet>, std::pair<value_t, value_t>>

Definition at line 34 of file RipsPersistenceDiagramUtils.h.

id_t

using ttk::rpd::id_t = int

Definition at line 13 of file RipsPersistenceDiagramUtils.h.

MultidimensionalDiagram

using ttk::rpd::MultidimensionalDiagram = std::vector<Diagram>

Definition at line 23 of file RipsPersistenceDiagramUtils.h.

PersistencePair

using ttk::rpd::PersistencePair = std::pair<FiltratedSimplex, FiltratedSimplex>

Definition at line 21 of file RipsPersistenceDiagramUtils.h.

PointCloud

using ttk::rpd::PointCloud = std::vector<std::vector<value_t>>

Definition at line 17 of file RipsPersistenceDiagramUtils.h.

Simplex

using ttk::rpd::Simplex = std::vector<id_t>

Definition at line 19 of file RipsPersistenceDiagramUtils.h.

value_t

using ttk::rpd::value_t = double

Definition at line 14 of file RipsPersistenceDiagramUtils.h.

Enumeration Type Documentation

CRIT

enum ttk::rpd::CRIT

Enumerator
DEATH0
BIRTH1
DEATH1
CASC1

Definition at line 29 of file RipsPersistenceDiagramUtils.h.

Function Documentation

max()

FiltratedEdge ttk::rpd::max ( const FiltratedEdge & a, const FiltratedEdge & b )

inline

Definition at line 40 of file RipsPersistenceDiagramUtils.h.

operator<() [1/2]

bool ttk::rpd::operator< ( const FiltratedEdge & e1, const FiltratedEdge & e2 )

inline

Definition at line 58 of file RipsPersistenceDiagramUtils.h.

operator<() [2/2]

bool ttk::rpd::operator< ( const FiltratedTriangle & f1, const FiltratedTriangle & f2 )

inline

Definition at line 64 of file RipsPersistenceDiagramUtils.h.

Variable Documentation

inf

value_t ttk::rpd::inf = std::numeric_limits<value_t>::infinity()

constexpr

Definition at line 15 of file RipsPersistenceDiagramUtils.h.