Discrepancy: Local/Global Shape Characterization with a Roundness Bias

Genctav A., TARI Z. S.

Journal of Mathematical Imaging and Vision, cilt.61, sa.1, ss.160-171, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s10851-018-0851-8
  • Dergi Adı: Journal of Mathematical Imaging and Vision
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.160-171
  • Anahtar Kelimeler: Global shape measures, Shape entropy, Roundness, Signed distance, Modified Bessel, Screened Poisson, ELLIPTICITY, FIELD
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 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.