SIAM Review
Computer Vision and Image Understanding
Proceedings of the sixth ACM symposium on Solid modeling and applications
Surface reconstruction from noisy point clouds
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Efficient Surface Reconstruction using Generalized Coulomb Potentials
IEEE Transactions on Visualization and Computer Graphics
Efficient algorithms for image and high dimensional data processing using eikonal equation on graphs
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Journal of Computational Physics
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing
IEEE Transactions on Image Processing
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This paper proposes a surface reconstruction approach that is based on fronts propagation over weighted graphs of arbitrary structure. The problem of surface reconstruction from a set of points has been extensively studied in the literature so far. The novelty of this approach resides in the use of the eikonal equation using Partial difference Equation on weighted graph. It produces a fast algorithm, which is the main contribution of this study. It also presents several examples that illustrate this approach.