Discrepancy: Local/Global Shape Characterization with a Roundness Bias


Genctav A., TARI Z. S.

Journal of Mathematical Imaging and Vision, vol.61, no.1, pp.160-171, 2019 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1007/s10851-018-0851-8
  • Journal Name: Journal of Mathematical Imaging and Vision
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.160-171
  • Keywords: Global shape measures, Shape entropy, Roundness, Signed distance, Modified Bessel, Screened Poisson, ELLIPTICITY, FIELD

Abstract

© 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.