Discrepancy: Local/Global Shape Characterization with a Roundness Bias

Genctav, Asli
Tarı, Zehra Sibel
© 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.

Citation Formats
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.