Abstract
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.
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The work is funded by Turkish National Science Foundation TUBITAK under Grant 112E208.
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Genctav, A., Tari, S. Discrepancy: Local/Global Shape Characterization with a Roundness Bias. J Math Imaging Vis 61, 160–171 (2019). https://doi.org/10.1007/s10851-018-0851-8
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DOI: https://doi.org/10.1007/s10851-018-0851-8