Paper Info
Title
Gradient Flows for Optimizing Triangular Mesh-based Surfaces: Applications to 3D Reconstruction Problems Dealing with Visibility
Abstract
This article tackles the problem of using variational methods for evolving 3D deformable surfaces. We give an overview of gradient descent flows when the shape 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 match with the apparent contours in the input images.
Year
DOI
Venue
2011
10.1007/s11263-010-0408-9
International Journal of Computer Vision
Keywords
Field
DocType
Triangle mesh-based surface,Gradient descent flow,Surface evolution,Variational methods,Shape gradient,Visibility,3D reconstruction,Multi-view stereovision
Computer vision,Visibility,Gradient descent,Computer science,Artificial intelligence,3D reconstruction,Triangle mesh
Journal
Volume
Issue
ISSN
95
2
0920-5691
Citations 
PageRank 
References 
25
0.78
39
Authors
2
Name
Order
Citations
PageRank
Amaël Delaunoy11065.14
Emmanuel Prados245020.47