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@ -24,25 +24,22 @@ Sujet 6 - Reformulation du MVS par level sets
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<img src="https://upload.wikimedia.org/wikipedia/commons/7/78/Level_set_method.png" class="m-auto -mt-7"/>
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<img src="https://upload.wikimedia.org/wikipedia/commons/7/78/Level_set_method.png" class="m-auto -mt-7"/>
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---
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<style>
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span.katex {
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position: absolute;
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top: 48%;
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}
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</style>
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## Level sets 2D animé
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$\mathcal{V}_t = \{ \textbf{Q} \in \mathbb{R}^3, u(\textbf{Q}) = t \}, \quad t\in [0,1], \quad u \colon \mathbb{R}^3 \to [0, 1]$
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<img src="figs/lvl7_2D.gif" class="m-auto mt-5"/>
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---
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---
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## Exemple Level sets 2D
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## Exemple Level sets 2D
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<img src="figs/lvl7_2D.png" class="m-auto h-110"/>
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<img src="figs/lvl7_2D.gif" class="m-auto mt-5"/>
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<Footnotes separator>
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---
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<Footnote>
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Variational principles, surface evolution, PDEs, level set methods, and the stereo problem - Olivier Faugeras, Renaud Keriven, 1998
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</Footnote>
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</Footnotes>
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----
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## Exemple Level sets 3D
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## Exemple Level sets 3D
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@ -52,7 +49,35 @@ Sujet 6 - Reformulation du MVS par level sets
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## Approximation du volume
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## Approximation du volume
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$\mu_t = \{ Q \in \mathbb{R}^3, u(Q) = t \}, t\in [0,1]\ \text{ou}\ t \in \{0, 1\}$
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<img src="figs/lvl7_2D.png" class="m-auto h-110"/>
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<Footnotes separator>
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<Footnote>
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Variational principles, surface evolution, PDEs, level set methods, and the stereo problem - Olivier Faugeras, Renaud Keriven, 1998
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</Footnote>
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</Footnotes>
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---
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## Discrétisation de l'espace
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<img src="https://upload.wikimedia.org/wikipedia/commons/b/bc/Voxels.svg" class="m-auto h-110">
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---
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## Mise à jour du volume
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consensus blabla
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---
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## Initialisation du volume
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ones ou alors shape from silouhette
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---
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## Exemple Shape from Silouhette
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---
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---
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@ -77,3 +102,7 @@ $\mu_t = \{ Q \in \mathbb{R}^3, u(Q) = t \}, t\in [0,1]\ \text{ou}\ t \in \{0, 1
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## Raytracing
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## Raytracing
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<img src="https://cdn.discordapp.com/attachments/953586522572066826/1068141885056622661/fvi8.png" class="m-auto -mt-10 h-125"/>
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<img src="https://cdn.discordapp.com/attachments/953586522572066826/1068141885056622661/fvi8.png" class="m-auto -mt-10 h-125"/>
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---
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## Résultats
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