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CVPR
2012
IEEE
11 years 7 months ago
Geometric understanding of point clouds using Laplace-Beltrami operator
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zha...
ECCV
2004
Springer
14 years 6 months ago
Shape Reconstruction from 3D and 2D Data Using PDE-Based Deformable Surfaces
In this paper, we propose a new PDE-based methodology for deformable surfaces that is capable of automatically evolving its shape to capture the geometric boundary of the data and ...
Ye Duan, Liu Yang, Hong Qin, Dimitris Samaras

Publication
1500views
15 years 5 months ago
Robust Centerline Extraction Framework Using Level Sets
In this paper, we present a novel framework for computing centerlines for both 2D and 3D shape analysis. The framework works as follows: an object centerline point is selected aut...
M. Sabry Hassouna, Aly A. Farag

Presentation
3660views
15 years 5 months ago
Robust Centerline Extraction Framework Using Level Sets
In this paper, we present a novel framework for computing centerlines for both 2D and 3D shape analysis. The framework works as follows: an object centerline point is selected auto...
M. Sabry Hassouna
CSC
2008
13 years 6 months ago
The Dirichlet problem for the Laplace equation in a starlike domain
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
Diego Caratelli, Paolo Emilio Ricci