Image reconstruction for Magnetic Particle Imaging using an Augmented Lagrangian Method

İlbey, Serhat; Top, Can Barış; Çukur, Tolga; Sarıtaş, Emine Ülkü; Güven, H. Emre

doi:10.1109/isbi.2017.7950469

Cited by 13 publications

(12 citation statements)

References 16 publications

(29 reference statements)

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“…In this study, we used the algebraic reconstruction technique (Kaczmarz method) for image reconstruction. Presumably, better results with reduced artifacts can be obtained by using non‐negative fused LASSO or augmented Lagrangian methods for the reconstruction, which minimize l 1 norm and total variation of the images subject to the data consistency. From the definition of full width at half maximum (FWHM) spatial resolution for the MPI ( Δr ≈ 4.16/ βG ), 4.4‐mm resolution is expected for the SPIO parameters with a monodisperse distribution and 1 T/m gradient used in this study.…”

Section: Discussionmentioning

confidence: 99%

Electronically rotated and translated field‐free line generation for open bore magnetic particle imaging

2017

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Section: Discussionmentioning

confidence: 99%

Electronically rotated and translated field‐free line generation for open bore magnetic particle imaging

2017

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“…In addition, a nonnegativity constraint is added to the problem definition as negative pixels are not expected in MPI images. The convex optimization problem was formulated as follows [13]:…”

Section: Standard Methodsmentioning

confidence: 99%

“…The SFM is reconstructed with iterative convex optimization methods using the information that the system functions are sparse in the discrete cosine transform (DCT) domain [9]. In this work, Alternating Direction Method of Multipliers (ADMM) was used as a convex optimization method due to its fast convergence rate and accuracy [13]. In order to reconstruct the SFM, the following problem is solved:…”

Section: Standard Compressed Sensing Of the System Function Matrixmentioning

confidence: 99%

“…Rather than scanning a single MNP sample at different positions, we use a number of coded scenes, each of which include multiple MNP samples at random positions. In the calibration procedure, the scenes are imaged, and then the SFM is reconstructed using these measurements with an augmented Lagrangian method [13]. Here, we analyse the effect of the number of scenes on the quality of the reconstructed images using simulations.…”

Section: Introductionmentioning

confidence: 99%

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Coded scenes for fast system calibration in magnetic particle imaging

İlbey

Top

Güngör

et al. 2018

2018 IEEE 15th International Symposium on Biomedical Imaging (ISBI 2018)

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Magnetic nanoparticle (MNP) agents have a wide range of clinical application areas for both imaging and therapy. MNP distribution inside the body can be imaged using Magnetic Particle Imaging (MPI). For MPI image reconstruction with the system function matrix (SFM) approach, a calibration scan is necessary, in which a single MNP sample is placed and scanned inside the full field of view (FOV), which is a very time consuming task. In this study, we propose the use of coded scenes that include MNP samples at multiple positions inside the FOV, and reconstruct the SFM using compressed sensing techniques. We used simulations to analyze the effect of number of coded scenes on the image quality, and compare the results with standard sparse reconstruction using single MNP sample scan. The results show that with the proposed method, the required number of measurements is decreased substantially, enabling a fast system calibration procedure.

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“…Bu şekilde SKM oluşturulduktan sonra, görüntülenmek istenen objeden alınan sinyalin ayrık Fourier dönüşümü ile bir dogrusal denklemler sistemi elde edilmiş olur. SPDO'ların uzamsal dagılımı bu tersine problemin Kaczmarz (ART) [5], negatif olmayan kaynaşık LASSO [6], Yön Degiştiren Ç arpanlar Yöntemi (YDÇ Y) [7,8] vb. yöntemlerle çözülmesiyle geriçatılır.…”

Section: Introductionunclassified

Fast Calibration with Compressed Sensing using Alternating Direction Method of Multipliers in Magnetic Particle Imaging

İlbey¹,

Sarıtaş²,

Top³

2017

2017 21st National Biomedical Engineering Meeting (BIYOMUT)

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OzetManyetik Parçacık Görüntüleme (MPG) izleyici madde olarak enjekte edilen süperparamanyetik demir oksit nanoparçacıklarının uzamsal dagılımını görüntülemede kullanılan yeni bir görüntüleme yöntemidir.MPG'de imge geriçatımı dogrudan X-uzayıüzerinden ya da sistem kalibrasyon matrisi (SKM) yardımı ile yapılabilir. SKM'nin elde edilmesinin klinik boyutlardaki görüntüleme alanı hesaba katıldıgında günler mertebesinde sürebilecegiöngörülmektedir. Ote yandan girişimsel anjiyografi vb. uygulamalardaki gerçek zamanlı görüntüleme gereksinimi, MPG imge geriçatımı için hâlihazırda kullanılanlara göre çok daha hızlı ve verimli olan yöntemlere ihtiyaç olduguna işaret etmektedir. Bu çalışmada, Yön Degiştiren Ç arpanlar Yöntemi ile sıkıştırılmış algılama kullanılarak sistem kalibrasyon süresinin kısaltılması, ve literatürdeki en yaygın yöntem olan Kaczmarz'a göre daha yüksek çözünürlük ve kontrasta sahip görüntü geriçatım sonuçları sunulmaktadır. AbstractMagnetic Particle Imaging (MPI) is a new imaging modality that is used for imaging the spatial distribution of superparamagnetic iron oxide nanoparticles injected as tracers. Image reconstruction in MPI can be realized directly in X-space or with a system calibration matrix. It is envisaged that obtaining a system calibration matrix would take days for a field of view of clinical purposes. On the other hand, the need for real-time imaging for applications such as interventional angiography implies that faster and more efficient reconstruction algorithms are needed than the ones Bu proje TÜBİTAK (Proje No: 9050103), Avrupa Birligi FP7 PCIG13-GA-2013-618834, TÜBA-GEBİP 2015 ve Bilim Akademisi BAGEP 2016 fonlarıyla desteklenmiştir. Yazarlar, YDÇ Y MATLAB uygulamasını paylaştıgı için Alper Güngör'e teşekkür eder.at present. In this work, we present rapid system calibration with compressive sensing, and reconstruction results that have higher resolution and contrast with respect to the most common technique, Kaczmarz, using Alternating Direction Method of Multipliers (ADMM).

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Image reconstruction for Magnetic Particle Imaging using an Augmented Lagrangian Method

Cited by 13 publications

References 16 publications

Electronically rotated and translated field‐free line generation for open bore magnetic particle imaging

Electronically rotated and translated field‐free line generation for open bore magnetic particle imaging

Coded scenes for fast system calibration in magnetic particle imaging

Fast Calibration with Compressed Sensing using Alternating Direction Method of Multipliers in Magnetic Particle Imaging

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