Discrepancy: Local/Global Shape Characterization with a Roundness Bias

Date

2019-01-15

Author

Genctav, Asli
Tarı, Zehra Sibel

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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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Citation Formats

A. Genctav and Z. S. Tarı, “Discrepancy: Local/Global Shape Characterization with a Roundness Bias,” Journal of Mathematical Imaging and Vision, pp. 160–171, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57451.