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Discrepancy: Local/Global Shape Characterization with a Roundness Bias
Date
2019-01-15
Author
Genctav, Asli
Tarı, Zehra Sibel
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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© 2018, Springer Science+Business Media, LLC, part of Springer Nature.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.
Subject Keywords
Modelling and Simulation
,
Statistics and Probability
,
Geometry and Topology
,
Applied Mathematics
,
Condensed Matter Physics
,
Computer Vision and Pattern Recognition
URI
https://hdl.handle.net/11511/57451
Journal
Journal of Mathematical Imaging and Vision
DOI
https://doi.org/10.1007/s10851-018-0851-8
Collections
Department of Computer Engineering, Article
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BibTeX
A. Genctav and Z. S. Tarı, “Discrepancy: Local/Global Shape Characterization with a Roundness Bias,”
Journal of Mathematical Imaging and Vision
, vol. 61, no. 1, pp. 160–171, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57451.