Gradient Descent Flows for Optimizing Deformable Meshes

This projects tackles the problem of using variational methods for evolving 3D deformable surfaces. We give an overview of gradient descent flows when the surface is represented by a triangular mesh-based surface, and we detail the gradients of two generic energy functionals which embody a number of energies used in mesh processing and computer vision. In particular, we show how to rigorously account for visibility in the surface optimization process.
We present different applications including 3D reconstruction from multiple views for which the visibility is fundamental. The gradient correctly takes into account the visibility changes that occur when a surface moves; this forces the contours generated by the reconstructed surface to perfectly match with the apparent contours in the input images.

 

Related Publications

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Titre
Gradient Flows for Optimizing Triangular Mesh-based Surfaces: Applications to 3D Reconstruction Problems dealing with Visibility
Auteurs
Delaunoy Amael; Prados Emmanuel url
Détail
International Journal of Computer Vision, Springer-Verlag, 2011
Accès au texte intégral et bibtex
DP-IJCV-2010.pdf BibTex
Titre
Multi-view Shape Modeling from Images: Contributions to Photometric-based Reconstruction using Deformable Meshes
Auteurs
Amaël Delaunoy
Détail
mathématiques et informatique. Université de Grenoble, Dec. 2011. English
Accès au texte intégral et bibtex
Delaunoy_Thesis_12_2011.pdf BibTex
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Titre
Towards Full 3D Helmholtz Stereovision Algorithms
Auteurs
Delaunoy Amael; Prados Emmanuel url; Belhumeur Peter url
Détail
Springer. Asian Conference on Computer Vision, November 2010, Queenstown, New Zealand.
Accès au texte intégral et bibtex
delaunoy_prados_belhumeur.pdf BibTex
Titre
3D and Appearance Modeling from Images
Auteurs
Sturm Peter; Delaunoy Amael; Gargallo Pau url; Prados Emmanuel url; Yoon Kuk-Jin url
Détail
Eduardo Bayro-Corrochano and Jan-Olof Eklundh. Proceedings of the 14th Iberoamerican Congress on Pattern Recognition - CIARP 2009, November 2009, Guadalajara, Mexico. Springer, 5856, pp. 695-704, Lecture Notes in Computer Science
Accès au texte intégral et bibtex
ciarp.pdf BibTex
Titre
Minimizing the Multi-view Stereo Reprojection Error for Triangular Surface Meshes
Auteurs
Delaunoy Amaël url; Prados Emmanuel url; Gargallo I Piracés Pau; Pons Jean-Philippe url; Sturm Peter url
Détail
British Machine Vision Conference, BMVA, 2008
Accès au texte intégral et bibtex
delaunoy-prados-etal-BMVC08.pdf BibTex