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Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The image quality obtained by many current algorithms is…

The path decomposition expansion is a path integral technique for decomposing sums over paths in configuration space into sums over paths in different spatial regions. It leads to a decomposition of the configuration space propagator across…

Quantum Physics · Physics 2011-09-15 J. J. Halliwell

MRI is an indispensable clinical tool, offering a rich variety of tissue contrasts to support broad diagnostic and research applications. Clinical exams routinely acquire multiple structural sequences that provide complementary information…

Image and Video Processing · Electrical Eng. & Systems 2025-10-03 Tolga Çukur , Salman U. H. Dar , Valiyeh Ansarian Nezhad , Yohan Jun , Tae Hyung Kim , Shohei Fujita , Berkin Bilgic

Atmospheric tomography, the problem of reconstructing atmospheric turbulence profiles from wavefront sensor measurements, is an integral part of many adaptive optics systems used for enhancing the image quality of ground-based telescopes.…

Numerical Analysis · Mathematics 2025-02-06 Lukas Weissinger , Simon Hubmer , Bernadett Stadler , Ronny Ramlau

We propose an approach for 3D reconstruction and segmentation of a single object placed on a flat surface from an input video. Our approach is to perform dense depth map estimation for multiple views using a proposed objective function that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-29 Tanmay Gupta , Daeyun Shin , Naren Sivagnanadasan , Derek Hoiem

We present a method to reconstruct the three-dimensional trajectory of a moving instance of a known object category using stereo video data. We track the two-dimensional shape of objects on pixel level exploiting instance-aware semantic…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Sebastian Bullinger , Christoph Bodensteiner , Michael Arens , Rainer Stiefelhagen

We prove descent theorems for semiorthogonal decompositions using techniques from derived algebraic geometry. Our methods allow us to capture more general filtrations of derived categories and even marked filtrations, where one descends not…

Algebraic Geometry · Mathematics 2021-01-12 Benjamin Antieau , Elden Elmanto

The decomposition of an image into a linear combination of digitised basis functions is an everyday task in astronomy. A general method is presented for performing such a decomposition optimally into an arbitrary set of digitised basis…

Astrophysics · Physics 2009-11-10 R. H. Berry , M. P. Hobson , S. Withington

Realistic microscale domains are an essential step towards making modern multiscale simulations more applicable to computational materials engineering. For this purpose, 3D computed tomography scans can be very expensive or technically…

A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the…

Classical Analysis and ODEs · Mathematics 2007-05-23 Yuan Xu

Medical images can be decomposed into normal and abnormal features, which is considered as the compositionality. Based on this idea, we propose an encoder-decoder network to decompose a medical image into two discrete latent codes: a normal…

Image and Video Processing · Electrical Eng. & Systems 2020-11-13 Kazuma Kobayashi , Ryuichiro Hataya , Yusuke Kurose , Tatsuya Harada , Ryuji Hamamoto

We propose a new methodology for parametric domain decomposition using iterative principal component analysis. Starting with iterative principle component analysis, the high dimension manifold is reduced to the lower dimension manifold.…

Machine Learning · Computer Science 2025-05-14 Chetra Mang , Axel TahmasebiMoradi , Mouadh Yagoubi

We develop and implement a compressive reconstruction method for tomographic recovery of refractive index distribution for weakly attenuating objects in a microfocus X-ray system. This is achieved through the development of a discretized…

This paper presents a novel method for the reconstruction of high-resolution temporal images in dynamic tomographic imaging, particularly for discrete objects with smooth boundaries that vary over time. Addressing the challenge of limited…

Image and Video Processing · Electrical Eng. & Systems 2023-11-10 Ajinkya Kadu , Felix Lucka , Kees Joost Batenburg

We present a procedure to reconstruct objects from holograms recorded in in-line holography settings. Working with one beam of polarized light, the topological derivatives and energies of functionals quantifying hologram deviations yield…

Optics · Physics 2018-04-09 A. Carpio , T. G. Dimiduk , V. Selgas , P. Vidal

Segmenting anatomical structures in medical images has been successfully addressed with deep learning methods for a range of applications. However, this success is heavily dependent on the quality of the image that is being segmented. A…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Ilkay Oksuz , James R. Clough , Bram Ruijsink , Esther Puyol Anton , Aurelien Bustin , Gastao Cruz , Claudia Prieto , Andrew P. King , Julia A. Schnabel

We introduce a convolutional neural network for inferring a compact disentangled graphical description of objects from 2D images that can be used for volumetric reconstruction. The network comprises an encoder and a twin-tailed decoder. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Edward Grant , Pushmeet Kohli , Marcel van Gerven

We propose a direct reconstruction algorithm for Computed Tomography, based on a local fusion of a few preliminary image estimates by means of a non-linear fusion rule. One such rule is based on a signal denoising technique which is…

Computer Vision and Pattern Recognition · Computer Science 2010-04-27 Joseph Shtok , Michael Zibulevsky , Michael Elad

The multichannel trigonometric reconstruction from uniform samples was proposed recently. It not only makes use of multichannel information about the signal but is also capable to generate various kinds of interpolation formulas according…

Classical Analysis and ODEs · Mathematics 2024-12-20 Dong Cheng , Kit Ian Kou

Finding an unsupervised decomposition of an image into individual objects is a key step to leverage compositionality and to perform symbolic reasoning. Traditionally, this problem is solved using amortized inference, which does not…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Pradyumna Reddy , Paul Guerrero , Niloy J. Mitra
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