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