commit 1d5f339ef3aaa06cbb15a197efb999ed6b8ed1ba Author: Laureηt Date: Tue Mar 7 16:52:48 2023 +0100 f5 diff --git a/.envrc b/.envrc new file mode 100644 index 0000000..3550a30 --- /dev/null +++ b/.envrc @@ -0,0 +1 @@ +use flake diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..fa7fe45 --- /dev/null +++ b/.gitignore @@ -0,0 +1,3 @@ +.direnv/ +node_modules/ +dist/ \ No newline at end of file diff --git a/assets/DETR.png b/assets/DETR.png new file mode 100644 index 0000000..b3dbdb9 Binary files /dev/null and b/assets/DETR.png differ diff --git a/assets/algo1.png b/assets/algo1.png new file mode 100644 index 0000000..b09860b Binary files /dev/null and b/assets/algo1.png differ diff --git a/assets/antoine.webp b/assets/antoine.webp new file mode 100644 index 0000000..4ae9557 Binary files /dev/null and b/assets/antoine.webp differ diff --git a/assets/capture_hdri.jpg b/assets/capture_hdri.jpg new file mode 100644 index 0000000..eca9197 Binary files /dev/null and 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"nixpkgs", + "type": "github" + } + }, + "root": { + "inputs": { + "flake-utils": "flake-utils", + "nixpkgs": "nixpkgs" + } + } + }, + "root": "root", + "version": 7 +} diff --git a/flake.nix b/flake.nix new file mode 100644 index 0000000..badff0e --- /dev/null +++ b/flake.nix @@ -0,0 +1,13 @@ +{ + description = "Proj long prez"; + + inputs = { + nixpkgs.url = "github:NixOS/nixpkgs/nixos-unstable"; + flake-utils.url = "github:numtide/flake-utils"; + }; + + outputs = { self, nixpkgs, flake-utils }: + flake-utils.lib.eachDefaultSystem (system: + let pkgs = nixpkgs.legacyPackages.${system}; + in { devShell = pkgs.mkShell { buildInputs = with pkgs; [ nodejs ]; }; }); +} diff --git a/package-lock.json b/package-lock.json new file mode 100644 index 0000000..0fd29dd --- /dev/null +++ b/package-lock.json @@ -0,0 +1,6283 @@ +{ + "name": "prez", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "dependencies": { + "@slidev/cli": "^0.38.5", + "@slidev/theme-default": 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Neav +coverBackgroundUrl: https://plus.unsplash.com/premium_photo-1673553304257-018c85e606f8?ixlib=rb-4.0.3&ixid=MnwxMjA3fDB8MHxwaG90by1wYWdlfHx8fGVufDB8fHx8 +coverBackgroundSource: unplash +coverBackgroundSourceUrl: https://unsplash.com/photos/g4I556WCJT0 +coverDate: "2023-03-09" +themeConfig: + paginationX: r + paginationY: t + paginationPagesDisabled: + - 1 +title: Projet Long +--- + +

End of study project

+ +

Sphere detection and multimedia applications

+ +--- + +# Contents + +
+ +- Types of spheres +- Automatic sphere detection +- Lighting intensity estimation +- Lightning direction estimation + +
+ +
+ +
Architecture
+
+ +
+ +
Cinema
+
+ +
+ +
3D Reconstruction
+
+ +pexels + +--- +class: text-white custombg +--- + + + +## Types of spheres + +--- +class: text-white custombg2 +--- + + + +## Chrome sphere + +CaveAcademy + +--- + +## Acquisition techniques + + + +Louis du Mont + + + +--- + +## Realistic lighting + +
+ + +
+ +--- +class: text-white custombg3 +--- + + + + +## Shiny sphere + +CaveAcademy + +--- +class: text-white custombg4 +--- + + + +## Matte sphere + +CaveAcademy + +--- + +# Automatic detection of spheres + +--- + +## Model + +
+ +
+ +End-to-End Object Detection with Transformers, arXiv:2005.12872 + + +--- + +## Datasets + + +
+ + + + +
+ + +--- + +## Results + +--- + +# Estimation of the lighting intensity in an image + +--- + +## Photometric Stereo + +
+ +
+ +- Estimate the surface normals of an object +- Shiny spheres $\rightarrow$ direction of the lighting + +--- + +## Lambert law + +
+ +
+ + +$I(q) = \rho(Q) \times \vec{n}(Q) \cdot \vec{s}(Q)$ + +$\rho(Q)$ is the albedo + +$\vec{n}(Q)$ is the normal vector + +$\vec{s}(Q) = \phi \times \vec{s_0}(Q)$, $\vec{s_0}(Q)$ being the direction of the lighting vector + +--- + +## Problem formulation + +$N$ lightings, $P$ pixels + +$I = M \times S \times D_{\phi}$ + +$I \in \mathbb{R}^{P \times N} \rightarrow$ gray scale levels + +$M \in \mathbb{R}^{P \times 3} \rightarrow$ the albedo and the normals (unknown) + +$S \in \mathbb{R}^{3 \times N} \rightarrow$ direction of lightings + +$D_{phi} = diag(\phi_1,...,\phi_{N}) \in \mathbb{R}^{ N \times N} \rightarrow$ intensities of lightings (to be determined) + +--- + +## Algorithm 1 + +
+ +
+ +Intensities : $[\phi_1,...,\phi_{N}]$ + +New values : $\phi_j + \delta$ and $\phi_j + \delta$, $j \in [1,..,N]$ + +Mean-squared error : $\underset{\phi_i}{\min} || I - M S D_{\phi} ||_2^2$ + +Update the value of $\phi_j$ + +Repeat previous steps + +--- + +## Algorithm 2 + +Algorithm 1 $\rightarrow$ too long + +$$I = M S D_{\phi} \iff M = I(S D_{\phi})^\dagger = I (S D_{\phi})^T [(S D_{\phi})(S D_{\phi})^T]^{-1}$$ + +Lambert law : + +$$ +\begin{align*} + I &= I (S D_{\phi})^T [(S D_{\phi})(S D_{\phi})^T]^{-1} S D_{\phi} \\ + &= I D_{\phi} S^T S^{-T} D_{\phi}^{-2} S^{-1} S D_{\phi} +\end{align*} +$$ + +New residual : + +$$\underset{\phi_i}{\min} || I - I D_{\phi} S^T S^{-T} D_{\phi}^{-2} S^{-1} S D_{\phi} ||_2^2$$ + + +--- + +## Generated images + +
+ + + + + + + + +
+ +--- + +## Results (1/2) + +
+ + +
+ +--- + +## Results (2/2) + +
+ +
+ +--- + +## Real images + +TODO LOLO : mettre les images comme dans les slides avec carre rouge + +--- + +## Results + +
+ + +
+ +--- + +# Automatic estimation of lighting vector + +- Creation of data +- Estimation of light vector with matte balls +- Training of neural networks + +--- + +## Creation of mask + +--- + +## Generated data with Blender + +--- + +## Estimation of lighting vector for training + +--- + +## Verification estimation of lighting vector + +--- + +## Which type of neural network ? + +--- + +## Results + +--- + +## Conclusion + +--- + +## Perspectives \ No newline at end of file diff --git a/slides.md.bak b/slides.md.bak new file mode 100644 index 0000000..c334473 --- /dev/null +++ b/slides.md.bak @@ -0,0 +1,334 @@ +--- +theme: academic +class: text-white +coverAuthor: Laurent Fainsin, Damien Guillotin, Pierre-Eliot Jourdan +coverBackgroundUrl: https://images.unsplash.com/photo-1655720408861-8b04c0724fd9?ixlib=rb-4.0.3&ixid=MnwxMjA3fDB8MHxwaG90by1wYWdlfHx8fGVufDB8fHx8 +coverBackgroundSource: unplash +coverBackgroundSourceUrl: https://unsplash.com/photos/Vc0CmuIfMg0 +coverDate: '2023-02-01' +themeConfig: + paginationX: r + paginationY: t + paginationPagesDisabled: + - 1 +title: Bureau d'étude de PI3D +--- + +

Bureau d'étude de PI3D

+ +

Sujet 6 - Reformulation du MVS par level sets

+ +--- + +## Plan du BE + +
+ +- Définitions +- L'idée générale +- Hyposthèses +- L'algorithme +- Résultats +- Conclusion + +
+ + + +--- + +## Définition +### Level sets + + + +$\mathcal{V} = \{ \textbf{Q} = (X, Y) \in \mathbb{R}^2, u(\textbf{Q}) > s \}, \quad s\in [0,1], \quad u \colon \mathbb{R}^2 \to [0, 1]$ + + + + +--- + +### Exemple Level sets 3D + +
+ +
+ +
Marching cubes
+ +
+
+ + + +--- + +## Définition +### Multi-view Stereo + + + +Concurrent Stereo Reconstruction, Martin R. Oswald, 2007 + + + +--- + +## L'idée générale +### Évolution de $u$ + + + +Variational principles, surface evolution, PDEs, level set methods, and the stereo problem - Olivier Faugeras, Renaud Keriven, 1998 + + + +--- + +## L'idée générale +### Évolution de $u$ + + + +Variational principles, surface evolution, PDEs, level set methods, and the stereo problem - Olivier Faugeras, Renaud Keriven, 1998 + + + +--- + +## Hypothèses +### Discrétisation de l'espace + + + +
+ +$\mathbb{R}^3 \to \mathbb{V}$ + +
+ +### Binarisation du levelset + +
+ +$\mathcal{V} = \{ \textbf{v} = (x, y, z) \in \mathbb{V}, u(\textbf{v}) > 0 \}, \quad u \colon \mathbb{V} \to \{0, 1\}$ + +
+ +Wikipedia + + + +--- + +## L'algorithme +### Initialisation du volume + +- Définition des bornes de notre grille de voxels: + - $x \in \llbracket x_{\min}, x_{\max} \rrbracket$ + - $y \in \llbracket y_{\min}, y_{\max} \rrbracket$ + - $z \in \llbracket z_{\min}, z_{\max} \rrbracket$ +- Définition d'une résolution de voxel: + - Pas trop grand, sinon un voxel projeté sur nos caméras comprends plusieurs pixels + - Pas trop petit, sinon plusieurs voxels se projetent sur le même pixel + - Exemple: $5.10^{-2}\ m$ +- Initialisation des valeurs des voxels: + - Uniforme: $\forall \textbf{Q} = (X, Y, Z) \in \mathbb{R}, u_0(\textbf{Q}) = 1$ + - Shape From Silhouette BE4 CHEH + + + +--- + +## L'algorithme +### Principe du Shape from Silhouette + + + +Implementation of a Shadow Carving System for Shape Capture, doi: 10.1109/TDPVT.2002.1024034 + + + +--- + +### Shape from Silhouette 3D + +
+ + +
+ + + +--- + +## L'algorithme +### Lancer de rayon (Fast Voxel Intersect) + +
+ + + + +
+ + + +--- + +## Résultats +### L'environnement + + + +--- + +## Résultats +### Les données + + + +
+ +
+ + + + + + +
+
+ +--- + +## Résultats +### L'initialisation (Shape from Silhouette) + + + +--- + +## Résultats +### Bordures + + + +--- + +## Résultats +### Visibilité des voxels + +
+ + +
+--- + +## Résultats +### Évolution du level set + +
+ + +
+ +--- + +## Conclusion + +
+ +### Ce que nous avons fait + +- Réalisation du SfS en 2D/3D +- Réalisation du MVS par level sets en 2D avec initialisation par SfS + +
+ +### Axes d'amélioration soon™ + +- Résultat en 3D +- $\{0, 1\} \to [0, 1]$ + +