blob: adea3f38f7ce794032444b9548ca39d9e6be5347 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
|
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="744.09448819"
height="1052.3622047"
id="svg2"
version="1.1"
inkscape:version="0.48.4 r9939"
sodipodi:docname="so3.svg"
inkscape:export-filename="/home/dsalinas/Documents/CodeSVN/gudhi_depot/trunk/src/Contraction/doc/so3.png"
inkscape:export-xdpi="200.20428"
inkscape:export-ydpi="200.20428">
<defs
id="defs4">
<marker
inkscape:stockid="Arrow1Lend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lend"
style="overflow:visible;">
<path
id="path3888"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;"
transform="scale(0.8) rotate(180) translate(12.5,0)" />
</marker>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="2.8"
inkscape:cx="302.8754"
inkscape:cy="816.37285"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="2560"
inkscape:window-height="1523"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<image
y="175.32289"
x="87.6194"
id="image3026"
xlink:href="file:///user/dsalinas/home/Documents/CodeSVN/gudhi_depot/trunk/src/Contraction/doc/SO3points.png"
height="107.55493"
width="121.70161" />
<image
y="174.31145"
x="250.86069"
id="image3037"
xlink:href="file:///user/dsalinas/home/Documents/CodeSVN/gudhi_depot/trunk/src/Contraction/doc/SO3_rips.png"
height="107.95626"
width="121.70161" />
<image
y="174.31216"
x="415.46198"
id="image3048"
xlink:href="file:///user/dsalinas/home/Documents/CodeSVN/gudhi_depot/trunk/src/Contraction/doc/SO3_simplified.png"
height="107.85593"
width="122.0026" />
<rect
style="color:#000000;fill:none;stroke:#000000;stroke-width:0.10033109;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0;marker:none;visibility:visible;display:inline;overflow:visible;enable-background:accumulate"
id="rect3080-2"
width="27.49983"
height="26.862415"
x="160.74173"
y="176.24422" />
<image
y="124.78581"
x="168.92697"
id="image3077"
xlink:href="file:///user/dsalinas/home/Documents/CodeSVN/gudhi_depot/trunk/src/Contraction/doc/zoom.png"
height="59.596668"
width="60.499645" />
<rect
style="color:#000000;fill:none;stroke:#000000;stroke-width:0.20066218;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0;marker:none;visibility:visible;display:inline;overflow:visible;enable-background:accumulate"
id="rect3080"
width="61.215229"
height="59.796326"
x="168.33478"
y="124.91287" />
<path
style="fill:none;stroke:#000000;stroke-width:0.20066218;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow1Lend)"
d="m 163.59862,176.17779 c -2.13689,-4.88892 1.1683,-8.41755 4.60541,-9.6451"
id="path3879"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cc" />
<text
xml:space="preserve"
style="font-size:6.70418215px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
x="151.0036"
y="300.44409"
id="text4507"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4509"
x="152.07077"
y="300.44409"
style="text-align:center;text-anchor:middle">Point cloud sampling SO3 </tspan><tspan
sodipodi:role="line"
x="151.0036"
y="308.82431"
id="tspan4513"
style="text-align:center;text-anchor:middle">(points are in R but projected into R</tspan><tspan
sodipodi:role="line"
x="151.0036"
y="317.20456"
id="tspan4515"
style="text-align:center;text-anchor:middle">for vizualization)</tspan><tspan
sodipodi:role="line"
x="151.0036"
y="325.58478"
id="tspan4511"
style="text-align:center;text-anchor:middle" /></text>
<text
xml:space="preserve"
style="font-size:4.58914995px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
x="141.32632"
y="304.69067"
id="text4517"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4519"
x="141.32632"
y="304.69067">9 </tspan></text>
<text
xml:space="preserve"
style="font-size:4.58914995px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
x="210.88516"
y="304.76022"
id="text4521"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan4523"
x="210.88516"
y="304.76022">3</tspan></text>
<text
xml:space="preserve"
style="font-size:6.70418215px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
x="309.4176"
y="300.58682"
id="text4507-8"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
x="309.4176"
y="300.58682"
id="tspan4515-4"
style="text-align:center;text-anchor:middle">Rips complex built uppon these points</tspan><tspan
sodipodi:role="line"
x="309.4176"
y="308.96704"
style="text-align:center;text-anchor:middle"
id="tspan4599">20 millions simplices</tspan><tspan
sodipodi:role="line"
x="309.4176"
y="317.34729"
id="tspan4511-3"
style="text-align:center;text-anchor:middle" /></text>
<text
xml:space="preserve"
style="font-size:6.70418215px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
x="476.61395"
y="300.4592"
id="text4507-8-0"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
x="476.61395"
y="300.4592"
id="tspan4511-3-9"
style="text-align:center;text-anchor:middle">Simplicial complex obtained after simplification</tspan><tspan
sodipodi:role="line"
x="476.61395"
y="308.83942"
style="text-align:center;text-anchor:middle"
id="tspan4601">714 simplices</tspan></text>
</g>
</svg>
|
