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We reconstruct 3D deformable object through time, in the context of a live pottery making process where the crafter molds the object. Because the object suffers from heavy hand interaction, and is being deformed, classical techniques cannot…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Raoul de Charette , Sotiris Manitsaris

Hydrogeologic models are commonly over-smoothed relative to reality, owing to the difficulty of obtaining accurate high-resolution information about the subsurface. When used in an inversion context, such models may introduce systematic…

Spectral Theory · Mathematics 2018-01-17 Scott K. Hansen , Jiachuan He , Velimir V. Vesselinov

An explicit series solution is proposed for the inversion of the spherical mean Radon transform. Such an inversion is required in problems of thermo- and photo- acoustic tomography. Closed-form inversion formulae are currently known only…

Analysis of PDEs · Mathematics 2009-11-13 Leonid Kunyansky

Reconstructing the 3D model of a physical object typically requires us to align the depth scans obtained from different camera poses into the same coordinate system. Solutions to this global alignment problem usually proceed in two steps.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Xiangru Huang , Zhenxiao Liang , Xiaowei Zhou , Yao Xie , Leonidas Guibas , Qixing Huang

In the field of medical images, although various works find Swin Transformer has promising effectiveness on pixelwise dense prediction, whether pre-training these models without using extra dataset can further boost the performance for the…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Xinrong Hu , Dewen Zeng , Yawen Wu , Xueyang Li , Yiyu Shi

Recent works in medical image registration have proposed the use of Implicit Neural Representations, demonstrating performance that rivals state-of-the-art learning-based methods. However, these implicit representations need to be optimized…

Image and Video Processing · Electrical Eng. & Systems 2023-10-04 Louis D. van Harten , Jaap Stoker , Ivana Išgum

Tomographic imaging reveals internal structures of 3D objects and is crucial for medical diagnoses. Visualizing the morphology and appearance of non-planar sparse anatomical structures that extend over multiple 2D slices in tomographic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Leonhard Rist , Pluvio Stephan , Noah Maul , Linda Vorberg , Hendrik Ditt , Michael Sühling , Andreas Maier , Bernhard Egger , Oliver Taubmann

We solve the orientation recovery of a tumbling protein in the gas phase from single-event measurements of the spatial positions of its ions after an X-ray laser induced explosion. We simulate diffracted X-ray signal and ion dynamics under…

Chemical Physics · Physics 2026-03-26 Tomas André , Alfredo Bellisario , Nicusor Timneanu , Carl Caleman

We develop a mathematical and numerical framework to solve state estimation problems for applications that present variations in the shape of the spatial domain. This situation arises typically in a biomedical context where inverse problems…

Numerical Analysis · Mathematics 2023-03-14 Felipe Galarce , Damiano Lombardi , Olga Mula

A crucial limitation of current high-resolution 3D photoacoustic tomography (PAT) devices that employ sequential scanning is their long acquisition time. In previous work, we demonstrated how to use compressed sensing techniques to improve…

Numerical Analysis · Mathematics 2020-09-07 Felix Lucka , Nam Huynh , Marta Betcke , Edward Zhang , Paul Beard , Ben Cox , Simon Arridge

Synthetic aperture radar tomographic imaging reconstructs the three-dimensional reflectivity of a scene from a set of coherent acquisitions performed in an interferometric configuration. In forest areas, a large number of elements…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Zoé Berenger , Loïc Denis , Florence Tupin , Laurent Ferro-Famil , Yue Huang

We propose a supervised machine learning approach for boosting existing signal and image recovery methods and demonstrate its efficacy on example of image reconstruction in computed tomography. Our technique is based on a local nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2013-12-02 Joseph Shtok , Michael Zibulevsky , Michael Elad

Precise reconstruction of unknown quantum states from measurement data, a process commonly called quantum state tomography, is a crucial component in the development of quantum information processing technologies. Many different tomography…

Quantum Physics · Physics 2022-10-28 Ingrid Strandberg

In X-ray Computed Tomography (CT), projections from many angles are acquired and used for 3D reconstruction. To make CT suitable for in-line quality control, reducing the number of angles while maintaining reconstruction quality is…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Tianyuan Wang , Felix Lucka , Tristan van Leeuwen

Dynamic inverse problems are challenging to solve due to the need to identify and incorporate appropriate regularization in both space and time. Moreover, the very large scale nature of such problems in practice presents an enormous…

Numerical Analysis · Mathematics 2025-01-23 Toluwani Okunola , Mirjeta Pasha , Misha Kilmer , Melina Freitag

When experimental errors are ignored in an experiment, the subsequent analysis of its results becomes questionable. We develop tests to detect systematic errors in quantum experiments where only a finite amount of data is recorded and apply…

Cryo-electron tomography (cryoET) is a technique that captures images of biological samples at different tilts, preserving their native state as much as possible. Along with the partial tilt series and noise, one of the major challenges in…

Signal Processing · Electrical Eng. & Systems 2023-07-26 Vinith Kishore , Valentin Debarnot , Ivan Dokmanić

Schemes for X-ray imaging single protein molecules using new x-ray sources, like x-ray free electron lasers (XFELs), require processing many frames of data that are obtained by taking temporally short snapshots of identical molecules, each…

Data Analysis, Statistics and Probability · Physics 2015-06-17 Kartik Ayyer , Hugh T. Philipp , Mark W. Tate , Veit Elser , Sol M. Gruner

Small-angle scattering tensor tomography is a technique for studying anisotropic nanostructures of millimeter-sized samples in a volume-resolved manner. It requires the acquisition of data through repeated tomographic rotations about an…

Diffraction microtomography in coherent light is foreseen as a promising technique to image transparent living samples in three dimensions without staining. Contrary to conventional microscopy with incoherent light, which gives…

Optics · Physics 2009-11-13 Stanislas Vertu , Jean-Jacques Delaunay , Olivier Haeberle