Coordinate transformation aided finite element method for contour detection of breast tumors in microwave imaging

ÖZGÜN Ö., KUZUOĞLU M.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, cilt.34, sa.10, 2018 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 10
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/cnm.3124
  • Dergi Adı: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: breast tumor, computer-aided detection, coordinate transformation, finite element modeling, genetic algorithm, image reconstruction, inverse problems, microwave, Monte Carlo, optimization, OPTIMIZATION, ELECTROMAGNETICS, RECONSTRUCTION, ABSORBERS, MEDIA
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A coordinate transformation based finite element method is presented for detecting contours of breast cancer tissues in the context of microwave imaging. The geometry and location of a single or multiple cancerous tumors inside a breast tissue are identified by constructing an inverse problem based on the genetic optimization algorithm. The expensive forward solution phase during repeated cost function evaluations is accelerated by placing a transformation medium inside the finite element mesh. This allows using a uniform or rectangular mesh even when irregular tumor geometries are considered. Therefore, the computational load is reduced. The algorithm is implemented in MATLAB using parallel programming tools. A realistic numerical breast phantom repository, which is available in the University of Wisconsin-Madison webpage, is used to test the algorithm. The performance of the algorithm is also tested by utilizing the Monte Carlo approach, where the inverse problem is run several times and the statistical parameters of the runs are determined. Various simulation results are demonstrated.