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ajout exemple image compressée

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...@@ -358,45 +358,27 @@ Son équivalent tri-dimensionnel est l'octree (chaque noeud a 8 enfants ou aucun ...@@ -358,45 +358,27 @@ Son équivalent tri-dimensionnel est l'octree (chaque noeud a 8 enfants ou aucun
::: columns ::: columns
:::: column :::: {.column width=30%}
## Comment représenter l'image? ## Comment représenter l'image
![Image noir/blanc.](figs/board_blacked_parts.svg) ![Image noir/blanc.](figs/board_blacked_parts.svg)
:::: ::::
:::: column :::: {.column width=70%}
## Sous la forme d'un arbre quaternaire?
. . . . . .
```{.mermaid format=pdf width=400 loc=figs/} ![L'arbre quaternaire correspondant.](figs/quad_img.svg)
graph TD;
id0(( ))-->id1((0)); **Économie?**
id0-->id2(( ));
id0-->id3(( )); . . .
id0-->id4(( ));
id2-->id5(( )) Image 64 pixels, arbre 25 neouds.
id2-->id6((1))
id2-->id7((1))
id2-->id8((1))
id3-->id9((1))
id3-->id10((1))
id3-->id11((0))
id3-->id12((1))
id4-->id13((1))
id4-->id14((0))
id4-->id15((1))
id4-->id16(( ))
id5-->id17((0))
id5-->id18((1))
id5-->id19((1))
id5-->id20((0))
id16-->id21((1))
id16-->id22((1))
id16-->id23((1))
id16-->id24((0))
```
:::: ::::
......
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<path fill="none" stroke="#000000" d="M510.2693,-146.7307C520.197,-136.803 533.3153,-123.6847 544.4363,-112.5637"/>
<polygon fill="#000000" stroke="#000000" points="547.1564,-114.7933 551.7527,-105.2473 542.2067,-109.8436 547.1564,-114.7933"/>
</g>
<!-- id3 -->
<g id="node13" class="node">
<title>id3</title>
<ellipse fill="none" stroke="#000000" cx="639" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="639" y="-85.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- ig1&#45;&gt;id3 -->
<g id="edge12" class="edge">
<title>ig1-&gt;id3</title>
<path fill="none" stroke="#000000" d="M516.8705,-151.0647C541.2222,-138.8889 580.762,-119.119 608.2285,-105.3858"/>
<polygon fill="#000000" stroke="#000000" points="610.0165,-108.4049 617.3955,-100.8022 606.886,-102.1439 610.0165,-108.4049"/>
</g>
<!-- sg4 -->
<g id="node14" class="node">
<title>sg4</title>
<ellipse fill="none" stroke="#000000" cx="711" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="711" y="-85.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- id1&#45;&gt;sg4 -->
<g id="edge13" class="edge">
<title>id1-&gt;sg4</title>
<path fill="none" stroke="#000000" d="M767.7307,-146.7307C757.803,-136.803 744.6847,-123.6847 733.5637,-112.5637"/>
<polygon fill="#000000" stroke="#000000" points="735.7933,-109.8436 726.2473,-105.2473 730.8436,-114.7933 735.7933,-109.8436"/>
</g>
<!-- sd4 -->
<g id="node15" class="node">
<title>sd4</title>
<ellipse fill="none" stroke="#000000" cx="783" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="783" y="-85.8" font-family="Times,serif" font-size="14.00" fill="#000000">0</text>
</g>
<!-- id1&#45;&gt;sd4 -->
<g id="edge14" class="edge">
<title>id1-&gt;sd4</title>
<path fill="none" stroke="#000000" d="M783,-143.8314C783,-136.131 783,-126.9743 783,-118.4166"/>
<polygon fill="#000000" stroke="#000000" points="786.5001,-118.4132 783,-108.4133 779.5001,-118.4133 786.5001,-118.4132"/>
</g>
<!-- ig4 -->
<g id="node16" class="node">
<title>ig4</title>
<ellipse fill="none" stroke="#000000" cx="855" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="855" y="-85.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- id1&#45;&gt;ig4 -->
<g id="edge15" class="edge">
<title>id1-&gt;ig4</title>
<path fill="none" stroke="#000000" d="M798.2693,-146.7307C808.197,-136.803 821.3153,-123.6847 832.4363,-112.5637"/>
<polygon fill="#000000" stroke="#000000" points="835.1564,-114.7933 839.7527,-105.2473 830.2067,-109.8436 835.1564,-114.7933"/>
</g>
<!-- id4 -->
<g id="node17" class="node">
<title>id4</title>
<ellipse fill="none" stroke="#000000" cx="927" cy="-90" rx="27" ry="18"/>
<text text-anchor="middle" x="927" y="-85.8" font-family="Times,serif" font-size="14.00" fill="#000000"> </text>
</g>
<!-- id1&#45;&gt;id4 -->
<g id="edge16" class="edge">
<title>id1-&gt;id4</title>
<path fill="none" stroke="#000000" d="M804.8705,-151.0647C829.2222,-138.8889 868.762,-119.119 896.2285,-105.3858"/>
<polygon fill="#000000" stroke="#000000" points="898.0165,-108.4049 905.3955,-100.8022 894.886,-102.1439 898.0165,-108.4049"/>
</g>
<!-- sg5 -->
<g id="node18" class="node">
<title>sg5</title>
<ellipse fill="none" stroke="#000000" cx="27" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="27" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">0</text>
</g>
<!-- sg2&#45;&gt;sg5 -->
<g id="edge17" class="edge">
<title>sg2-&gt;sg5</title>
<path fill="none" stroke="#000000" d="M115.6918,-77.1278C98.6445,-65.763 73.5981,-49.0654 54.4656,-36.3104"/>
<polygon fill="#000000" stroke="#000000" points="56.4031,-33.3956 46.1411,-30.7607 52.5201,-39.2199 56.4031,-33.3956"/>
</g>
<!-- sd5 -->
<g id="node19" class="node">
<title>sd5</title>
<ellipse fill="none" stroke="#000000" cx="99" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="99" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- sg2&#45;&gt;sd5 -->
<g id="edge18" class="edge">
<title>sg2-&gt;sd5</title>
<path fill="none" stroke="#000000" d="M126.2854,-72.5708C122.0403,-64.0807 116.8464,-53.6929 112.1337,-44.2674"/>
<polygon fill="#000000" stroke="#000000" points="115.237,-42.6477 107.6343,-35.2687 108.976,-45.7782 115.237,-42.6477"/>
</g>
<!-- ig5 -->
<g id="node20" class="node">
<title>ig5</title>
<ellipse fill="none" stroke="#000000" cx="171" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="171" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- sg2&#45;&gt;ig5 -->
<g id="edge19" class="edge">
<title>sg2-&gt;ig5</title>
<path fill="none" stroke="#000000" d="M143.7146,-72.5708C147.9597,-64.0807 153.1536,-53.6929 157.8663,-44.2674"/>
<polygon fill="#000000" stroke="#000000" points="161.024,-45.7782 162.3657,-35.2687 154.763,-42.6477 161.024,-45.7782"/>
</g>
<!-- id5 -->
<g id="node21" class="node">
<title>id5</title>
<ellipse fill="none" stroke="#000000" cx="243" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="243" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">0</text>
</g>
<!-- sg2&#45;&gt;id5 -->
<g id="edge20" class="edge">
<title>sg2-&gt;id5</title>
<path fill="none" stroke="#000000" d="M154.3082,-77.1278C171.3555,-65.763 196.4019,-49.0654 215.5344,-36.3104"/>
<polygon fill="#000000" stroke="#000000" points="217.4799,-39.2199 223.8589,-30.7607 213.5969,-33.3956 217.4799,-39.2199"/>
</g>
<!-- sg6 -->
<g id="node22" class="node">
<title>sg6</title>
<ellipse fill="none" stroke="#000000" cx="819" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="819" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- id4&#45;&gt;sg6 -->
<g id="edge21" class="edge">
<title>id4-&gt;sg6</title>
<path fill="none" stroke="#000000" d="M907.6918,-77.1278C890.6445,-65.763 865.5981,-49.0654 846.4656,-36.3104"/>
<polygon fill="#000000" stroke="#000000" points="848.4031,-33.3956 838.1411,-30.7607 844.5201,-39.2199 848.4031,-33.3956"/>
</g>
<!-- sd6 -->
<g id="node23" class="node">
<title>sd6</title>
<ellipse fill="none" stroke="#000000" cx="891" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="891" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- id4&#45;&gt;sd6 -->
<g id="edge22" class="edge">
<title>id4-&gt;sd6</title>
<path fill="none" stroke="#000000" d="M918.2854,-72.5708C914.0403,-64.0807 908.8464,-53.6929 904.1337,-44.2674"/>
<polygon fill="#000000" stroke="#000000" points="907.237,-42.6477 899.6343,-35.2687 900.976,-45.7782 907.237,-42.6477"/>
</g>
<!-- ig6 -->
<g id="node24" class="node">
<title>ig6</title>
<ellipse fill="none" stroke="#000000" cx="963" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="963" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">1</text>
</g>
<!-- id4&#45;&gt;ig6 -->
<g id="edge23" class="edge">
<title>id4-&gt;ig6</title>
<path fill="none" stroke="#000000" d="M935.7146,-72.5708C939.9597,-64.0807 945.1536,-53.6929 949.8663,-44.2674"/>
<polygon fill="#000000" stroke="#000000" points="953.024,-45.7782 954.3657,-35.2687 946.763,-42.6477 953.024,-45.7782"/>
</g>
<!-- id6 -->
<g id="node25" class="node">
<title>id6</title>
<ellipse fill="none" stroke="#000000" cx="1035" cy="-18" rx="27" ry="18"/>
<text text-anchor="middle" x="1035" y="-13.8" font-family="Times,serif" font-size="14.00" fill="#000000">0</text>
</g>
<!-- id4&#45;&gt;id6 -->
<g id="edge24" class="edge">
<title>id4-&gt;id6</title>
<path fill="none" stroke="#000000" d="M946.3082,-77.1278C963.3555,-65.763 988.4019,-49.0654 1007.5344,-36.3104"/>
<polygon fill="#000000" stroke="#000000" points="1009.4799,-39.2199 1015.8589,-30.7607 1005.5969,-33.3956 1009.4799,-39.2199"/>
</g>
</g>
</svg>
\ No newline at end of file
digraph G {
0 [label=" "]
sg1 [label="0"]
sd1 [label=" "]
ig1 [label=" "]
id1 [label=" "]
sg2 [label=" "]
sd2 [label="1"]
ig2 [label="1"]
id2 [label="1"]
sg3 [label="1"]
sd3 [label="1"]
ig3 [label="0"]
id3 [label="1"]
sg4 [label="1"]
sd4 [label="0"]
ig4 [label="1"]
id4 [label=" "]
sg5 [label="0"]
sd5 [label="1"]
ig5 [label="1"]
id5 [label="0"]
sg6 [label="1"]
sd6 [label="1"]
ig6 [label="1"]
id6 [label="0"]
0->{sg1, sd1, ig1, id1}
sd1->{sg2, sd2, ig2, id2}
ig1->{sg3, sd3, ig3, id3}
id1->{sg4, sd4, ig4, id4}
sg2->{sg5, sd5, ig5, id5}
id4->{sg6, sd6, ig6, id6}
}
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