2023-01-25 19:37:03 +00:00
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coverAuthor: Laurent Fainsin, Damien Guillotin, Pierre-Eliot Jourdan
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2023-01-26 19:05:32 +00:00
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2023-01-25 19:37:03 +00:00
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coverDate: '2023-01-05'
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- 1
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title: Bureau d'étude de PI3D
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---
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# Bureau d'étude de PI3D
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Sujet 6 - Reformulation du MVS par level sets
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2023-01-26 09:08:14 +00:00
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## 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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---
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2023-01-26 19:05:32 +00:00
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## Level sets 2D animé
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<img src="figs/lvl7_2D.gif" class="m-auto mt-5"/>
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---
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2023-01-26 09:08:14 +00:00
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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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<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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2023-01-26 19:05:32 +00:00
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----
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## Exemple Level sets 3D
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<img src="figs/lvl7_3D.gif" class="m-auto -mt-1 h-125"/>
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---
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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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---
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## Raytracing
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<img src="https://cdn.discordapp.com/attachments/953586522572066826/1068141883810914427/fvi2.png" class="m-auto -mt-10 h-125"/>
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---
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## Raytracing
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<img src="https://cdn.discordapp.com/attachments/953586522572066826/1068141884242931712/fvi4.png" class="m-auto -mt-10 h-125"/>
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---
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## Raytracing
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<img src="https://cdn.discordapp.com/attachments/953586522572066826/1068141884679147602/fvi6.png" class="m-auto -mt-10 h-125"/>
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---
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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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