Title
Three-Dimensional Microwave Breast Imaging: Dispersive Dielectric Properties Estimation Using Patient-Specific Basis Functions.
Abstract
Breast imaging via microwave tomography involves estimating the distribution of dielectric properties within the pa- tient's breast on a discrete mesh. The number of unknowns in the discrete mesh can be very large for 3-D imaging, and this results in computational challenges. We propose a new approach where the discrete mesh is replaced with a relatively small number of smooth basis functions. The dimension of the tomography problem is re- duced by estimating the coefficients of the basis functions instead of the dielectric properties at each element in the discrete mesh. The basis functions are constructed using knowledge of the location of the breast surface. The number of functions used in the basis can be varied to balance resolution and computational complexity. The reduced dimension of the inverse problem enables application of a computationally efficient, multiple-frequency inverse scattering al- gorithm in 3-D. The efficacy of the proposed approach is verified using two 3-D anatomically realistic numerical breast phantoms. It is shown for the case of single-frequency microwave tomography that the imaging accuracy is comparable to that obtained when the original discrete mesh is used, despite the reduction of the di- mension of the inverse problem. Results are also shown for a mul- tiple-frequency algorithm where it is computationally challenging to use the original discrete mesh.
Year
DOI
Venue
2009
10.1109/TMI.2008.2008959
IEEE Trans. Med. Imaging
Keywords
Field
DocType
microwaves,cancer,inverse problem,three dimensional,tomography,dispersion,finite difference time domain,diagnostic imaging,dielectrics,breast cancer,inverse problems,image reconstruction,dielectric properties,finite difference methods,inverse scattering,algorithms,computational complexity,indexing terms,patient monitoring
Iterative reconstruction,Mathematical optimization,Breast imaging,Medical imaging,Algorithm,Optics,Basis function,Inverse problem,Microwave imaging,Inverse scattering problem,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
28
7
0278-0062
Citations 
PageRank 
References 
22
2.58
8
Authors
5
Name
Order
Citations
PageRank
David W. Winters1375.70
Jacob D. Shea2447.16
Panagiotis Kosmas36615.02
Barry D. Van Veen438063.33
Susan C Hagness57918.23