Discrepancy: Local/Global Shape Characterization with a Roundness Bias
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Disk shape frequently appears as a reference in shape characterization applications. We propose a local measure of deviation from a disk as the local difference between numerical solution of a PDE on the shape and an analytical expression in the form of modified Bessel function. The deviation defined at each shape point defines a field over the shape. This field has useful properties, which we demonstrate via illustrative applications ranging from shape decomposition to shape characterization. Furthermore, we show that a global measure extracted from the field is capable of characterizing the body roundness and periphery thickness uniformity.
KeywordsGlobal shape measures Shape entropy Roundness Signed distance Modified Bessel Screened Poisson
The work is funded by Turkish National Science Foundation TUBITAK under Grant 112E208.
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