projet-probleme-inverse-3D/README.md

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# Usefull resources
## Level set method, Wikipedia
https://en.wikipedia.org/wiki/Level-set_method
![](https://upload.wikimedia.org/wikipedia/commons/7/78/Level_set_method.png)
## Level set, Wikipedia
https://en.wikipedia.org/wiki/Level_set
## TP3, Stéréoscopie multi-vues (MVS)
https://moodle-n7.inp-toulouse.fr/pluginfile.php/116746/mod_resource/content/2/sujet_TP3.pdf
## Coding Adventure: Terraforming, Sebastian Lague
[![](https://i.ytimg.com/vi_webp/vTMEdHcKgM4/maxresdefault.webp)](https://www.youtube.com/watch?v=vTMEdHcKgM4)
## 3D Signed Distance function (NVIDIA Research)
2022
Towaki Takikawa
Andrew Glassner
Morgan McGuire
https://tovacinni.github.io/sdf-explorer/
## A GPU Implementation of Level Set Multiview Stereo
2006
Patrick Labatut
Renaud Keriven
Jean-Philippe Pons
https://link.springer.com/chapter/10.1007/11758549_33
https://link.springer.com/content/pdf/10.1007/11758549_33.pdf?pdf=inline%20link
## Fast Level Set Multi-View Stereo on Graphics Hardware
2006
Patrick Labatut
Renaud Keriven
Jean-Philippe Pons
https://ieeexplore.ieee.org/document/4155801
https://sci-hub.hkvisa.net/10.1109/3dpvt.2006.62
## Model-based multiview stereo via level sets with statistical shape prior
2011
Moumen El-Melegy
Nagi Al-Ashwal
Aly A. Farag
https://ieeexplore.ieee.org/document/6365368
https://sci-hub.hkvisa.net/https://ieeexplore.ieee.org/document/6365368
## Équation bizarre de l'idée générale
`g(x,y)=exp(-((0.2*x)^(2)+((y^(2))/(x^(2)+0.1))))*sig(-10*x)-5*exp(-((y^(2))/((0.1*x)^(2))))*sig(10*x)`
$$g(x,y) = \exp\left(-\left(\left(0.2x\right)^2 + \left(\frac{y^2}{x^2 + 0.1}\right)\right)\right)\sigma\left(-10x\right) - 5\exp\left(-\frac{y^2}{\left(0.1x\right)^2}\right)\sigma\left(10x\right)$$
## A Level-Set Approach to 3D Reconstruction from Range Data
1998
Ross T. Whitaker
https://link.springer.com/article/10.1023/A:1008036829907
## Level Set Methods in Computer Vision (Slides)
2006
Daniel Cremers
Department of Computer Science
University of Bonn
https://www.csd.uwo.ca/~yboykov/Presentations/ECCV06_tutorial_partII_dan.pdf
On part d'un solide qu'on rogne en soustrayant les valeurs obtenues avec les gaussiennes => jusqu'à obtenir le solide étudié.
## Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
1996/1998
Olivier Faugeras
Renaud Keriven
https://hal.inria.fr/inria-00073673/document
https://ieeexplore.ieee.org/document/661183
## Multi-View Stereo: A Tutorial
2015
Yasutaka Furukawa
Carlos Hernández
https://carlos-hernandez.org/papers/fnt_mvs_2015.pdf
## JDD
Eviter papier de BOYKOV CREMERS