projet-probleme-inverse-3D/docs/slides.md
2023-01-26 20:53:55 +01:00

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academic text-white Laurent Fainsin, Damien Guillotin, Pierre-Eliot Jourdan https://images.unsplash.com/photo-1655720408861-8b04c0724fd9?ixlib=rb-4.0.3&ixid=MnwxMjA3fDB8MHxwaG90by1wYWdlfHx8fGVufDB8fHx8 unplash https://unsplash.com/photos/Vc0CmuIfMg0 2023-01-05
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Bureau d'étude de PI3D

Bureau d'étude de PI3D

Sujet 6 - Reformulation du MVS par level sets


Level sets ?

\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]

Wikipedia


Exemple Level sets 2D


Exemple Level sets 3D


Approximation du volume

Variational principles, surface evolution, PDEs, level set methods, and the stereo problem - Olivier Faugeras, Renaud Keriven, 1998


Discrétisation de l'espace

Wikipedia


Mise à jour du volume

consensus blabla


Initialisation du volume

ones ou alors shape from silouhette


Exemple Shape from Silouhette


Raytracing


Raytracing


Raytracing


Raytracing


Résultats