DGtal  1.0.0
cubical-complex-illustrations.cpp
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1 
38 #include <iostream>
40 #include <map>
41 #include "DGtal/base/Common.h"
42 #include "DGtal/helpers/StdDefs.h"
43 
44 #include "DGtal/topology/KhalimskySpaceND.h"
45 #include "DGtal/topology/CubicalComplex.h"
46 #include "DGtal/io/boards/Board2D.h"
47 
49 
50 using namespace std;
51 using namespace DGtal;
52 
53 
54 int main( int /* argc */, char** /* argv */ )
55 {
56 
58  using namespace DGtal::Z2i;
60 
61  KSpace K;
62  K.init( Point( 0,0 ), Point( 5,3 ), true );
63  trace.beginBlock( "Creating Cubical Complex" );
64  CC X( K );
65  Domain domain( Point( 0,0 ), Point( 5,3 ) );
66  X.insertCell( K.uSpel( Point(1,1) ) );
67  X.insertCell( K.uSpel( Point(2,1) ) );
68  X.insertCell( K.uSpel( Point(3,1) ) );
69  X.insertCell( K.uSpel( Point(2,2) ) );
70  X.insertCell( K.uSpel( Point(3,2) ) );
71  X.insertCell( K.uSpel( Point(4,2) ) );
72  X.close();
73  trace.endBlock();
74 
75  trace.beginBlock( "Displays Cubical Complex" );
76  Board2D board;
77  board << domain;
78  board << CustomStyle( X.className(),
79  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
80  << X;
81  board.saveTikZ( "cubical-complex-illustrations-X.tikz" );
82  trace.endBlock();
84 
86  CC S( K );
87  S.insertCell( K.uCell( Point( 5, 4 ) ) ); // a linel
88  S.insertCell( K.uCell( Point( 4, 4 ) ) ); // a pointel
89  S.insertCell( K.uCell( Point( 7, 5 ) ) ); // a pixel
90  board << CustomStyle( X.className(),
91  new CustomColors( Color::Black, Color(60,60,60) ) )
92  << S;
93  board.saveTikZ( "cubical-complex-illustrations-S.tikz" );
94  board.clear();
96 
98  board << domain;
99  board << CustomStyle( X.className(),
100  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
101  << X;
102  board << CustomStyle( X.className(),
103  new CustomColors( Color::Red, Color(255,120,120) ) )
104  << X.closure( S );
105  board.saveTikZ( "cubical-complex-illustrations-closure.tikz" );
106  board.clear();
108 
110  board << domain;
111  board << CustomStyle( X.className(),
112  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
113  << X;
114  board << CustomStyle( X.className(),
115  new CustomColors( Color::Blue, Color(120,120,255) ) )
116  << X.star( S );
117  board.saveTikZ( "cubical-complex-illustrations-star.tikz" );
118  board.clear();
120 
122  board << domain;
123  board << CustomStyle( X.className(),
124  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
125  << X;
126  board << CustomStyle( X.className(),
127  new CustomColors( Color::Green, Color(120,255,120) ) )
128  << X.link( S );
129  board.saveTikZ( "cubical-complex-illustrations-link.tikz" );
130  board.clear();
132 
134  board << domain;
135  board << CustomStyle( X.className(),
136  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
137  << X;
138  board << CustomStyle( X.className(),
139  new CustomColors( Color::Magenta, Color(255,120,255) ) )
140  << X.boundary();
141  board.saveTikZ( "cubical-complex-illustrations-bd.tikz" );
142  board.clear();
144 
146  board << domain;
147  board << CustomStyle( X.className(),
148  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
149  << X;
150  board << CustomStyle( X.className(),
151  new CustomColors( Color::Cyan, Color(120,255,255) ) )
152  << X.interior();
153  board.saveTikZ( "cubical-complex-illustrations-int.tikz" );
154  board.clear();
156 
158  board << domain;
159  board << CustomStyle( X.className(),
160  new CustomColors( Color(80,80,100), Color(180,180,200) ) )
161  << X;
162  Cell p1 = K.uCell( Point(2,2) );
163  Cell p2 = K.uCell( Point(10,6) );
164  X[ p1 ] = CC::FIXED;
165  X[ p2 ] = CC::FIXED;
167  functions::collapse( X, X.begin(), X.end(), P, true, true, true );
168  board << CustomStyle( X.className(),
169  new CustomColors( Color(255,120,20), Color(255,150,50) ) )
170  << X
171  << CustomStyle( p1.className(),
172  new CustomColors( Color::Blue, Color(120,120,255) ) )
173  << p1 << p2;
174  board.saveTikZ( "cubical-complex-illustrations-collapse.tikz" );
175  board.clear();
177 
178  return 0;
179 }
void beginBlock(const std::string &keyword="")
std::string className() const
ConstIterator begin() const
int main(int, char **)
Trace trace
Definition: Common.h:144
CubicalComplex star(const CubicalComplex &S, bool hintOpen=false) const
CubicalComplex closure(const CubicalComplex &S, bool hintClosed=false) const
double endBlock()
Custom style class redefining the pen color and the fill color. You may use Board2D::Color::None for ...
Definition: Board2D.h:278
Domain domain
CubicalComplex interior() const
CubicalComplex link(const CubicalComplex &S, bool hintClosed=false, bool hintOpen=false) const
void insertCell(const Cell &aCell, const Data &data=Data())
Cell uSpel(Point p) const
From the digital coordinates of a point in Zn, builds the corresponding spel (cell of maximal dimensi...
bool init(const Point &lower, const Point &upper, bool isClosed)
Specifies the upper and lower bounds for the maximal cells in this space.
Cell uCell(const PreCell &c) const
From an unsigned cell, returns an unsigned cell lying into this Khalismky space.
void clear(const DGtal::Color &color=DGtal::Color::None)
Definition: Board.cpp:152
Aim: This class represents an arbitrary cubical complex living in some Khalimsky space....
Z2i this namespace gathers the standard of types for 2D imagery.
DGtal is the top-level namespace which contains all DGtal functions and types.
MyPointD Point
Definition: testClone2.cpp:383
CubicalComplex boundary(bool hintClosed=false) const
CubicalComplex< KSpace, Map > CC
ConstIterator end() const
Structure representing an RGB triple with alpha component.
Definition: Color.h:66
KSpace K
Aim: This class is a model of CCellularGridSpaceND. It represents the cubical grid as a cell complex,...
void saveTikZ(const char *filename, PageSize size=Board::BoundingBox, double margin=10.0) const
Definition: Board.cpp:1219
Aim: This class specializes a 'Board' class so as to display DGtal objects more naturally (with <<)....
Definition: Board2D.h:70