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Geometric Shape Features Extraction Using a Steady State Partial Differential Equation System
A unified method for extracting geometric shape features from binary image
data using a steady state partial differential equation (PDE) system as a
boundary value problem is presented in this paper. The PDE and functions are
formulated to extract the thickness, orientation, and skeleton simultaneously.
The main advantages of the proposed method is that the orientation is defined
without derivatives and thickness computation is not imposed a topological
constraint on the target shape. A one-dimensional analytical solution is
provided to validate the proposed method. In addition, two-dimensional
numerical examples are presented to confirm the usefulness of the proposed
method.Comment: 31 pages, 10 figure
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