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CVPR
2006
IEEE
10 years 1 months ago
Accurate Tracking of Monotonically Advancing Fronts
A wide range of computer vision applications such as distance field computation, shape from shading, and shape representation require an accurate solution of a particular Hamilton...
M. Sabry Hassouna, Aly A. Farag
SCALESPACE
2009
Springer
10 years 4 months ago
Adaptation of Eikonal Equation over Weighted Graph
Abstract. In this paper, an adaptation of the eikonal equation is proposed by considering the latter on weighted graphs of arbitrary structure. This novel approach is based on a fa...
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora...
ICCV
1999
IEEE
10 years 11 months ago
The Hamilton-Jacobi Skeleton
The eikonal equation and variants of it are of significant interest for problems in computer vision and image processing. It is the basis for continuous versions of mathematical m...
Kaleem Siddiqi, Sylvain Bouix, Allen Tannenbaum, S...

Publication
445views
11 years 5 months ago
Computational Study of Fast Methods For The Eikonal Equation
"A computational study of the Fast Marching and the Fast Sweeping methods for the Eikonal equation is given. It is shown that even though Fast Sweeping requires asymptotically...
Pierre A. Gremaud and Christopher M. Kuster

Tutorial
5774views
11 years 10 months ago
On the implementation of fast marching methods for 3D lattices
This technical report discusses Sethian's Fast Marching Method and its higher accuracy variant. Both methods may be used to compute the arrival times at the points of a discre...
Jakob Andreas Bærentzen

Tutorial
6794views
11 years 10 months ago
Fast Marching Methods
Detailed explanation of the Fast Marching Methods, which can be used to efficiently solve the Eikonal equation that models moving interfaces whose motion is either monotonically in...
M. Sabry Hassouna

Presentation
3660views
11 years 10 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

Publication
1500views
11 years 10 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

Publication
4052views
11 years 10 months ago
On the Extraction of Curve Skeletons using Gradient Vector Flow
In this paper, we propose a new variational framework for computing continuous curve skeletons from discrete objects that are suitable for structural shape representation. We have...
M. Sabry Hassouna, Aly A. Farag

Publication
3460views
11 years 10 months ago
Multistencils Fast Marching Methods: A Highly Accurate Solution to the Eikonal Equation on Cartesian Domains
A wide range of computer vision applications require an accurate solution of a particular Hamilton-Jacobi (HJ) equation known as the Eikonal equation. In this paper, we propose an ...
M. Sabry Hassouna, Aly A. Farag
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