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Limited angle problem is a challenging issue in x-ray computed tomography (CT) field. Iterative reconstruction methods that utilize the additional prior can suppress artifacts and improve image quality, but unfortunately require increased…

Medical Physics · Physics 2016-10-04 Hanming Zhang , Liang Li , Kai Qiao , Linyuan Wang , Bin Yan , Lei Li , Guoen Hu

Filtered backprojection (FBP) is an efficient and popular class of tomographic image reconstruction methods. In photoacoustic tomography, these algorithms are based on theoretically exact analytic inversion formulas which results in…

Image and Video Processing · Electrical Eng. & Systems 2019-08-05 Johannes Schwab , Stephan Antholzer , Markus Haltmeier

Filtered back projection (FBP) is a classical method for image reconstruction from sinogram CT data. FBP is computationally efficient but produces lower quality reconstructions than more sophisticated iterative methods, particularly when…

Image and Video Processing · Electrical Eng. & Systems 2018-07-09 Dong Hye Ye , Gregery T. Buzzard , Max Ruby , Charles A. Bouman

Filtered back projection (FBP) is a commonly used technique in tomographic image reconstruction demonstrating acceptable quality. The classical direct implementations of this algorithm require the execution of $\Theta(N^3)$ operations,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-14 Anastasiya Dolmatova , Marina Chukalina , Dmitry Nikolaev

While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

Accurate reconstruction of computed tomography (CT) images is crucial in medical imaging field. However, there are unavoidable interpolation errors in the backprojection step of the conventional reconstruction methods, i.e.,…

Image and Video Processing · Electrical Eng. & Systems 2025-05-06 Hui Lin , Dong Zeng , Qi Xie , Zerui Mao , Jianhua Ma , Deyu Meng

Sparse-view CT reconstruction is important in a wide range of applications due to limitations on cost, acquisition time, or dosage. However, traditional direct reconstruction methods such as filtered back-projection (FBP) lead to…

Image and Video Processing · Electrical Eng. & Systems 2021-12-10 Wenrui Li , Gregery T. Buzzard , Charles A. Bouman

The method of filtered back projection (FBP) is a widely used reconstruction technique in X-ray computerized tomography (CT), which is particularly important in clinical diagnostics. To reduce scanning times and radiation doses in medical…

Numerical Analysis · Mathematics 2024-08-14 Matthias Beckmann , Judith Nickel

X-ray computed tomography (CT) reveals the materials' internal structures non-destructively from a tilt series of projected images. Filtered back projection (FBP) is a widely-adopted reconstruction algorithm in CT owing to its small…

For conventional computed tomography (CT) image reconstruction tasks, the most popular method is the so-called filtered-back-projection (FBP) algorithm. In it, the acquired Radon projections are usually filtered first by a ramp kernel…

Medical Physics · Physics 2018-07-06 Yongshuai Ge , Qiyang Zhang , Zhanli Hu , Jianwei Chen , Wei Shi , Hairong Zheng , Dong Liang

Filtered back projection (FBP) is the most widely used method for image reconstruction in X-ray computed tomography (CT) scanners. The presence of hyper-dense materials in a scene, such as metals, can strongly attenuate X-rays, producing…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Muhammad Usman Ghani , W. Clem Karl

Limited-angle computerized tomography stands for one of the most difficult challenges in imaging. Although it opens the way to faster data acquisition in industry and less dangerous scans in medicine, standard approaches, such as the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Bernadette Hahn , Gael Rigaud , Richard Schmähl

Filtered back projection (FBP) methods are the most widely used reconstruction algorithms in computerized tomography (CT). The ill-posedness of this inverse problem allows only an approximate reconstruction for given noisy data. Studying…

Numerical Analysis · Mathematics 2023-07-25 Matthias Beckmann , Peter Maass , Judith Nickel

Spectral computed tomography (CT) is an emerging technology capable of providing high chemical specificity, which is crucial for many applications such as detecting threats in luggage. This type of application requires both fast and…

Image and Video Processing · Electrical Eng. & Systems 2021-03-30 Wail Mustafa , Christian Kehl , Ulrik Lund Olsen , Søren Kimmer Schou Gregersen , David Malmgren-Hansen , Jan Kehres , Anders Bjorholm Dahl

Model-Based Iterative Reconstruction (MBIR) is important because direct methods, such as Filtered Back-Projection (FBP) can introduce significant noise and artifacts in sparse-angle tomography, especially for time-evolving samples. Although…

Mathematical Software · Computer Science 2026-03-31 Dinesh Kumar , Jeffrey Donatelli

Convolutional neural networks (CNNs) have gained tremendous success in solving complex inverse problems. The aim of this work is to develop a novel CNN framework to reconstruct video sequence of dynamic live cells captured using a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Thanh Nguyen , Yujia Xue , Yunzhe Li , Lei Tian , George Nehmetallah

This paper introduces a novel method for reconstructing cone beam computed tomography (CBCT) images for arbitrary orbits using a differentiable shift-variant filtered backprojection (FBP) neural network. Traditional CBCT reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Chengze Ye , Linda-Sophie Schneider , Yipeng Sun , Mareike Thies , Siyuan Mei , Andreas Maier

In this study, we introduce a Fourier series-based trainable filter for computed tomography (CT) reconstruction within the filtered backprojection (FBP) framework. This method overcomes the limitation in noise reduction by optimizing…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Yipeng Sun , Linda-Sophie Schneider , Fuxin Fan , Mareike Thies , Mingxuan Gu , Siyuan Mei , Yuzhong Zhou , Siming Bayer , Andreas Maier

In certain three-dimensional (3D) applications of photoacoustic computed tomography (PACT), including \textit{in vivo} breast imaging, hemispherical measurement apertures that enclose the object within their convex hull are employed for…

Accurate short-term predictions of phase-resolved water wave conditions are crucial for decision-making in ocean engineering. However, the initialization of remote-sensing-based wave prediction models first requires a reconstruction of wave…

Atmospheric and Oceanic Physics · Physics 2024-01-11 Svenja Ehlers , Marco Klein , Alexander Heinlein , Mathies Wedler , Nicolas Desmars , Norbert Hoffmann , Merten Stender
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