This technical report illustrates the differences in solving the optimal path problem (shortest path) using different methods, where the underlying PDE can be described by the eik...
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...
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...
In robotic navigation, path planning is aimed at getting the optimum collision-free
path between a starting and target locations. The optimality criterion depends on
the surround...
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...
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...
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 received the BSc and MSc degrees in electrical and computer engineering from Ain Shams University, Egypt, in 1995 and 1999, respectively. In 2006, he received the...