By Keith D. Paulsen, Paul M. Meaney, Larry Gilman
This booklet explores our learn on 4 such modalities, quite in regards to imaging of the breast: (1) MR elastography (MRE), (2) electric impedance spectroscopy (EIS), (3) microwave imaging spectroscopy (MIS), and (4) close to infrared spectroscopic imaging (NIS).
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Additional info for Alternative Breast Imaging Four Model-Based Approaches
L is not necessarily equal to N, the number of nodes in the mesh used to model the observable phenomenon of interest; see discussion of the dual mesh scheme in the next section. 16) and the fact that (if is assumed small enough to neglect), TEAM LinG - Live, Informative, Non-cost and Genuine ! 14) and rearranging produces (in matrix notation) where Multiplying both sides by we have We wish to calculate the update vector which, with gives at the new iteration. The entries of are known and the entries of are computed using by the forward-solution method described earlier.
A portion of a parameter mesh (large triangles) with a portion of the forward-solution mesh (small triangles) that it overlays. In practice, the meshes are coextensive. 12): The first term on the right-hand side results from multiplying the divergence operator in the Helmholtz equation by the weighting function and applying Green’s identity to produce the weak-form solution. The second term results from multiplying by and integrating over the model domain. ) The next step in computing is to differentiate [A] with respect to where denotes a node in the coarse mesh.
D. D. 1 INTRODUCTION All of the imaging modalities discussed in this book require unique numerical algorithms and data acquisition hardware. However, they also share a good deal of algorithmic common ground. The Dartmouth Breast Imaging Group has therefore articulated a shared numerical-analysis framework for these modalities. This framework facilitates communication between teams working on different modalities while being flexible enough to allow for needful variations, especially as dictated by the data-acquisition requirements of each modality.
Alternative Breast Imaging Four Model-Based Approaches by Keith D. Paulsen, Paul M. Meaney, Larry Gilman