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Title: A variational approach to 3D geometry reconstruction from two or multiple views
Authors: Álvarez León, Luis Miguel 
Cuenca Hernández, Carmelo 
Salgado de la Nuez, Agustín Javier 
Sánchez, Javier 
UNESCO Clasification: 220990 Tratamiento digital. Imágenes
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
120326 Simulación
Issue Date: 2003
Abstract: In the last years we have developed some methods for 3D reconstruction. First we began with the problem of reconstructing a 3D scene from a stereoscopic pair of images. We developed some methods based on energy functionals which produce dense disparity maps by preserving discontinuities from image boundaries. Then we passed to the problem of reconstructing a 3D scene from multiple views (more than 2). The method for multiple view reconstruction relies on the method for stereoscopic reconstruction. For every pair of consecutive images we estimate a disparity map and then we apply a robust method that searches for good correspondences through the sequence of images. Recently we have proposed several methods for 3D surface regularization. This is a postprocessing step necessary for smoothing the final surface, which could be afected by noise or mismatch correspondences. These regularization methods are interesting because they use the information from the reconstructing process and not only from the 3D surface. We have tackled all these problems from an energy minimization approach. We investigate the associated Euler-Lagrange equation of the energy functional, and we approach the solution of the underlying partial differential equation (PDE) using a gradient descent method.
Source: Proceedings IWCVIA’03: International WorkShop on Computer Vision and Image Analysis. -- Las Palmas de Gran Canaria, December 2003. -- pp. 79-84
Rights: by-nc-nd
Appears in Collections:Actas de congresos
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