A New Active Contour Medical Image Segmentation Method Based on Fractional Varying-Order Differential

Yanshan Zhang and Yuru Tian
Additional contact information
Yanshan Zhang: School of Intelligent Engineering, Zhengzhou University of Aeronautics, 15 Wenyuan West Road, Zhengdong New District, Zhengzhou 450015, China
Yuru Tian: Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum, 66 Changjiang West Road, Huangdao District, Qingdao 266580, China

Mathematics, 2022, vol. 10, issue 2, 1-20

Abstract: Image segmentation technology is dedicated to the segmentation of intensity inhomogeneous at present. In this paper, we propose a new method that incorporates fractional varying-order differential and local fitting energy to construct a new variational level set active contour model. The energy functions in this paper mainly include three parts: the local term, the regular term and the penalty term. The local term combined with fractional varying-order differential can obtain more details of the image. The regular term is used to regularize the image contour length. The penalty term is used to keep the evolution curve smooth. True positive (TP) rate, false positive (FP) rate, precision (P) rate, Jaccard similarity coefficient (JSC), and Dice similarity coefficient (DSC) are employed as the comparative measures for the segmentation results. Experimental results for both synthetic and real images show that our method has more accurate segmentation results than other models, and it is robust to intensity inhomogeneous or noises.

Keywords: fractional calculus; varying-order differential; active contour; image segmentation; intensity inhomogeneous image (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/2/206/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/2/206/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:2:p:206-:d:721420

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().