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Related papers: Shape recovery from sparse tomographic X-ray data

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We propose a method to reconstruct sparse signals degraded by a nonlinear distortion and acquired at a limited sampling rate. Our method formulates the reconstruction problem as a nonconvex minimization of the sum of a data fitting term and…

Optimization and Control · Mathematics 2023-01-19 Arthur Marmin , Marc Castella , Jean-Christophe Pesquet , Laurent Duval

We present MIRReS, a novel two-stage inverse rendering framework that jointly reconstructs and optimizes the explicit geometry, material, and lighting from multi-view images. Unlike previous methods that rely on implicit irradiance fields…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Yuxin Dai , Qi Wang , Jingsen Zhu , Dianbing Xi , Yuchi Huo , Chen Qian , Ying He

Typical blur from camera shake often deviates from the standard uniform convolutional script, in part because of problematic rotations which create greater blurring away from some unknown center point. Consequently, successful blind…

Computer Vision and Pattern Recognition · Computer Science 2013-06-18 Haichao Zhang , David Wipf

We consider the irregular strip packing problem of rasterized shapes, where a given set of pieces of irregular shapes represented in pixels should be placed into a rectangular container without overlap. The rasterized shapes provide simple…

Computational Geometry · Computer Science 2022-03-23 Shunji Umetani , Shohei Murakami

The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse…

Analysis of PDEs · Mathematics 2024-04-05 Tianyu Yang , Yang Yang

There has been a growing interest in the use of data-driven regularizers to solve inverse problems associated with computational imaging systems. The convolutional sparse representation model has recently gained attention, driven by the…

Image and Video Processing · Electrical Eng. & Systems 2021-03-25 Singanallur Venkatakrishnan , Brendt Wohlberg

Imaging inverse problems aim to recover high-dimensional signals from undersampled, noisy measurements, a fundamentally ill-posed task with infinite solutions in the null-space of the sensing operator. To resolve this ambiguity, prior…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Roman Jacome , Romario Gualdrón-Hurtado , Leon Suarez , Henry Arguello

We present an algorithm for resampling a function from its values on a non-Cartesian grid onto a Cartesian grid. This problem arises in many applications such as MRI, CT, radio astronomy and geophysics. Our algorithm, termed SParse Uniform…

Information Theory · Computer Science 2016-03-17 Amir Kiperwas , Daniel Rosenfeld , Yonina C. Eldar

We present a method for recovering the shape and radiance of a scene consisting of multiple people given solely a few images. Multi-human scenes are complex due to additional occlusion and clutter. For single-human settings, existing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Qian li , Victoria Fernàndez Abrevaya , Franck Multon , Adnane Boukhayma

In this paper, we propose a re-weighted elastic net (REN) model for biometric recognition. The new model is applied to data separated into geometric and color spatial components. The geometric information is extracted using a fast cartoon -…

Computer Vision and Pattern Recognition · Computer Science 2015-07-28 Juan C. Moreno , V. B. S. Prasath , Gil Santos , Hugo Proenca

Reconstructing the missing parts of a curve has been the subject of much computational research, with applications in image inpainting, object synthesis, etc. Different approaches for solving that problem are typically based on processes…

Computer Vision and Pattern Recognition · Computer Science 2018-06-14 Ehud Barnea , Ohad Ben-Shahar

A two-step shape reconstruction method for diffuse optical tomography (DOT) is presented which uses adjoint fields and level sets. The propagation of near-infrared photons in tissue is modeled by the time-dependent linear transport…

Numerical Analysis · Mathematics 2025-10-20 Oliver Dorn

Inverse Problem techniques offer powerful tools which deal naturally with marginal data and asymmetric or strongly smoothing kernels, in cases where parameter-fitting methods may be used only with some caution. Although they are typically…

Astrophysics · Physics 2007-05-23 Norman Gray , Iain J. Coleman

We present Neural Splines, a technique for 3D surface reconstruction that is based on random feature kernels arising from infinitely-wide shallow ReLU networks. Our method achieves state-of-the-art results, outperforming recent neural…

Computer Vision and Pattern Recognition · Computer Science 2021-05-28 Francis Williams , Matthew Trager , Joan Bruna , Denis Zorin

Reconstructing medical images from partial measurements is an important inverse problem in Computed Tomography (CT) and Magnetic Resonance Imaging (MRI). Existing solutions based on machine learning typically train a model to directly map…

Image and Video Processing · Electrical Eng. & Systems 2022-06-17 Yang Song , Liyue Shen , Lei Xing , Stefano Ermon

Reconstructing the shape and appearance of real-world objects using measured 2D images has been a long-standing problem in computer vision. In this paper, we introduce a new analysis-by-synthesis technique capable of producing high-quality…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Fujun Luan , Shuang Zhao , Kavita Bala , Zhao Dong

We propose a flexible yet interpretable model for high-dimensional data with time-varying second order statistics, motivated and applied to functional neuroimaging data. Motivated by the neuroscience literature, we factorize the covariances…

Machine Learning · Statistics 2021-07-20 Katherine Tsai , Mladen Kolar , Oluwasanmi Koyejo

Image recovery in optical interferometry is an ill-posed nonlinear inverse problem arising from incomplete power spectrum and bispectrum measurements. We reformulate this nonlin- ear problem as a linear problem for the supersymmetric rank-1…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Anna Auria , Rafael Carrillo , Jean-Philippe Thiran , Yves Wiaux

This paper introduces a method for estimating the shape and location of an embedded tumor. The approach utilizes shape optimization techniques, applying the coupled complex boundary method. By rewriting the problem -- characterized by a…

Numerical Analysis · Mathematics 2025-05-30 Julius Fergy Tiongson Rabago

We address the inverse problem of cosmic large-scale structure reconstruction from a Bayesian perspective. For a linear data model, a number of known and novel reconstruction schemes, which differ in terms of the underlying signal prior,…

Astrophysics · Physics 2009-11-06 F. S. Kitaura , T. A. Ensslin
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