3-D Tomosynthesis Image Reconstruction Using Total Variation

Ertaş, Metin; Akan, Aydın; Cengiz, Kubra; Kamasak, Mustafa E.; Seyyedi, Saeed; Yıldırım, İsa

doi:10.1109/biomedcom.2012.7

Cited by 1 publication

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“…where, X (i,j) is the intensity value at pixel (i,j), {i = 1,2,…..,K; j = 1,2,……,L}. Applying TV 2D layer by layer to a 3D image shows significant improvements in image quality [ 24 ]. But applying the TV term in such manner ignores the neighborhood of a 3D image along axial direction.…”

Section: Introductionmentioning

confidence: 99%

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Digital breast tomosynthesis image reconstruction using 2D and 3D total variation minimization

et al. 2013

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BackgroundDigital breast tomosynthesis (DBT) is an emerging imaging modality which produces three-dimensional radiographic images of breast. DBT reconstructs tomographic images from a limited view angle, thus data acquired from DBT is not sufficient enough to reconstruct an exact image. It was proven that a sparse image from a highly undersampled data can be reconstructed via compressed sensing (CS) techniques. This can be done by minimizing the l1 norm of the gradient of the image which can also be defined as total variation (TV) minimization. In tomosynthesis imaging problem, this idea was utilized by minimizing total variation of image reconstructed by algebraic reconstruction technique (ART). Previous studies have largely addressed 2-dimensional (2D) TV minimization and only few of them have mentioned 3-dimensional (3D) TV minimization. However, quantitative analysis of 2D and 3D TV minimization with ART in DBT imaging has not been studied.MethodsIn this paper two different DBT image reconstruction algorithms with total variation minimization have been developed and a comprehensive quantitative analysis of these two methods and ART has been carried out: The first method is ART + TV2D where TV is applied to each slice independently. The other method is ART + TV3D in which TV is applied by formulating the minimization problem 3D considering all slices.ResultsA 3D phantom which roughly simulates a breast tomosynthesis image was designed to evaluate the performance of the methods both quantitatively and qualitatively in the sense of visual assessment, structural similarity (SSIM), root means square error (RMSE) of a specific layer of interest (LOI) and total error values. Both methods show superior results in reducing out-of-focus slice blur compared to ART.ConclusionsComputer simulations show that ART + TV3D method substantially enhances the reconstructed image with fewer artifacts and smaller error rates than the other two algorithms under the same configuration and parameters and it provides faster convergence rate.

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Section: Introductionmentioning

confidence: 99%

“…The iteration is continued until the difference between two consecutive updated images is smaller than a certain value. The last item is to choose the appropriate regularization parameter in the objective function (8) which plays a critical role in the performance of TV minimization [ 24 ].…”

Section: Introductionmentioning

confidence: 99%