Discrepancy: Local/Global Shape Characterization with a Roundness Bias

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 define...

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Bibliographic Details
Published in:Journal of mathematical imaging and vision 2019-01, Vol.61 (1), p.160-171
Main Authors: Genctav, Asli, Tari, Sibel
Format: Article
Language:English
Subjects:
Applications of Mathematics
Bessel functions
Computer Science
Deviation
Image Processing and Computer Vision
Mathematical Methods in Physics
Roundness
Shape
Signal,Image and Speech Processing
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Summary: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.
ISSN:0924-9907
1573-7683
DOI:10.1007/s10851-018-0851-8