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www.math.ucla.edu
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 eikonal equation....
RYO TAKEI
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9
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www2.imm.dtu.dk
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 discrete lattice of a front which is monotonously expanding. Applications of the method include arrival time computation and the construction of distance fields for 2D or 3D objects....
Jakob Andreas Bærentzen
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21
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mecca.louisville.edu
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 increasing or decreasing....
M. Sabry Hassouna
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50
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mecca.louisville.edu
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 surrounding environment and the running conditions. In this paper, we propose
a general, robust, and fast path planning framework for robotic navigation using
level set methods....
M. Sabry Hassouna
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9
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mecca.louisville.edu
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 automatically as the point of global maximum Euclidean distance from the boundary, and is considered a point source (PS) that transmits a wave front that evolves over time and traverses the object domain....
M. Sabry Hassouna
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24
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mecca.louisville.edu
In this project, we propose a new PDE-based method for extracting the shape salient nodes that correspond to its prominent parts. The method is highly robust to boundary noise and works for both 2D and 3D....
M. Sabry Hassouna, Aly A. Farag
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12
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mecca.louisville.edu
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 automatically as the point of global maximum Euclidean distance from the boundary, and is considered a point source (PS) that transmits a wave front that evolves over time and traverses the object domain....
M. Sabry Hassouna, Aly A. Farag
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12
Weave it
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mecca.louisville.edu
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-Jacobi (HJ) equation, known as the Eikonal equation....
M. Sabry Hassouna, Aly A. Farag
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7
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mecca.louisville.edu
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 surrounding environment and the running conditions. In this paper, we propose
a general, robust, and fast path planning framework for robotic navigation using
level set methods....
M. Sabry Hassouna, Alaa E. Abdel-Hakim, Aly A. Farag
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9
Weave it
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mecca.louisville.edu
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 improved version of the fast marching method (FMM) that is highly accurate for both 2D and 3D Cartesian domains....
M. Sabry Hassouna, Aly A. Farag
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10
Weave it
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