Discrepancy: Local/Global Shape Characterization with a Roundness Bias
JOURNAL OF MATHEMATICAL IMAGING AND VISION, vol.61, no.1, pp.160-171, 2019 (SCI-Expanded, Scopus)
- 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 (SCI-EXPANDED), Scopus
- Page Numbers: pp.160-171
- Keywords: Global shape measures, Shape entropy, Roundness, Signed distance, Modified Bessel, Screened Poisson, ELLIPTICITY, FIELD
- TED University Affiliated: No
Abstract
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.