Iterative Breast Tomosynthesis Image Reconstruction
In digital tomosynthesis imaging, multiple projections of an object are obtained along a small range of different incident angles in order to reconstruct a pseudo-3D representation of the object. In this paper we discuss a mathematical model for polyenergetic digital breast tomosynthesis image recon...
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| Veröffentlicht in: | SIAM journal on scientific computing 2013-01, Vol.35 (5), p.S192-S208 |
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| creator | Bustamante, Veronica Mejia Nagy, James G. Feng, Steve S. J. Sechopoulos, Ioannis |
| description | In digital tomosynthesis imaging, multiple projections of an object are obtained along a small range of different incident angles in order to reconstruct a pseudo-3D representation of the object. In this paper we discuss a mathematical model for polyenergetic digital breast tomosynthesis image reconstruction that explicitly takes into account various materials composing the object and the polyenergetic nature of the x-ray beam. Our model allows for computing weight fractions of the individual materials that make up the object, which can then be used to reconstruct pseudo-3D images. The reconstruction process requires solving a large-scale inverse problem, which is done with a gradient descent iteration. Regularization is enforced by truncating the iteration. The mathematical model is described in detail, as is an efficient approach to compute the gradient of the objective function. The effectiveness of our approach is illustrated with real data taken of an object with known materials that simulates an actual breast. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1137/120881440 |
| format | Article |
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J. ; Sechopoulos, Ioannis</creator><creatorcontrib>Bustamante, Veronica Mejia ; Nagy, James G. ; Feng, Steve S. J. ; Sechopoulos, Ioannis</creatorcontrib><description>In digital tomosynthesis imaging, multiple projections of an object are obtained along a small range of different incident angles in order to reconstruct a pseudo-3D representation of the object. In this paper we discuss a mathematical model for polyenergetic digital breast tomosynthesis image reconstruction that explicitly takes into account various materials composing the object and the polyenergetic nature of the x-ray beam. Our model allows for computing weight fractions of the individual materials that make up the object, which can then be used to reconstruct pseudo-3D images. The reconstruction process requires solving a large-scale inverse problem, which is done with a gradient descent iteration. Regularization is enforced by truncating the iteration. The mathematical model is described in detail, as is an efficient approach to compute the gradient of the objective function. The effectiveness of our approach is illustrated with real data taken of an object with known materials that simulates an actual breast. 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The mathematical model is described in detail, as is an efficient approach to compute the gradient of the objective function. The effectiveness of our approach is illustrated with real data taken of an object with known materials that simulates an actual breast. 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| subjects | Algorithms Applied mathematics Beams (radiation) Breast Computation Digital Image reconstruction Inverse problems Iterative methods Mathematical models Noise Random variables Reconstruction Sensors Three dimensional imaging Tomography |
| title | Iterative Breast Tomosynthesis Image Reconstruction |
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