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Reverse engineering 3D computer-aided design (CAD) models from images is an important task for many downstream applications including interactive editing, manufacturing, architecture, robotics, etc. The difficulty of the task lies in vast…

计算机视觉与模式识别 · 计算机科学 2025-09-22 Yang You , Mikaela Angelina Uy , Jiaqi Han , Rahul Thomas , Haotong Zhang , Yi Du , Hansheng Chen , Francis Engelmann , Suya You , Leonidas Guibas

The purpose of this paper is to propose a non-iterative method for the inverse conductivity problem of recovering multiple small anomalies from the boundary measurements. When small anomalies are buried in a conducting object, the electric…

偏微分方程分析 · 数学 2015-06-11 Ok Kyun Lee , Hyeonbae Kang , Jong Chul Ye , Mikyoung Lim

High-throughput characterization often requires estimating parameters and model dimension from experimental data of limited quantity and quality. Such data may result in an ill-posed inverse problem, where multiple sets of parameters and…

量子物理 · 物理学 2026-04-08 Abigail N. Poteshman , Jiwon Yun , Tim H. Taminiau , Giulia Galli

Snapshot matrices built from solutions to hyperbolic partial differential equations exhibit slow decay in singular values, whereas fast decay is crucial for the success of projection- based model reduction methods. To overcome this problem,…

数值分析 · 数学 2017-01-27 Donsub Rim , Scott Moe , Randall J. LeVeque

Current bundle adjustment solvers such as the Levenberg-Marquardt (LM) algorithm are limited by the bottleneck in solving the Reduced Camera System (RCS) whose dimension is proportional to the camera number. When the problem is scaled up,…

计算机视觉与模式识别 · 计算机科学 2023-02-28 Lei Zhou , Zixin Luo , Mingmin Zhen , Tianwei Shen , Shiwei Li , Zhuofei Huang , Tian Fang , Long Quan

Many imaging technologies rely on tomographic reconstruction, which requires solving a multidimensional inverse problem given a finite number of projections. Backprojection is a popular class of algorithm for tomographic reconstruction,…

图像与视频处理 · 电气工程与系统科学 2020-06-03 Xueqing Liu , Paul Sajda

The design of the optimal inverse discrete cosine transform (IDCT) to compensate the quantization error is proposed for effective lossy image compression in this work. The forward and inverse DCTs are designed in pair in current image/video…

多媒体 · 计算机科学 2021-02-02 Yifan Wang , Zhanxuan Mei , Chia-Yang Tsai , Ioannis Katsavounidis , C. -C. Jay Kuo

Generative models based on flow matching have attracted significant attention for their simplicity and superior performance in high-resolution image synthesis. By leveraging the instantaneous change-of-variables formula, one can directly…

计算机视觉与模式识别 · 计算机科学 2025-01-06 Yasi Zhang , Peiyu Yu , Yaxuan Zhu , Yingshan Chang , Feng Gao , Ying Nian Wu , Oscar Leong

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

最优化与控制 · 数学 2025-03-14 Ji Li , Chao Wang

This paper presents an efficient Bayesian framework for solving nonlinear, high-dimensional model calibration problems. It is based on a Variational Bayesian formulation that aims at approximating the exact posterior by means of solving an…

应用统计 · 统计学 2015-11-02 Isabell M. Franck , P. S. Koutsourelakis

Typical template-based object pose pipelines estimate the pose by retrieving the closest matching template and aligning it with the observed image. However, failure to retrieve the correct template often leads to inaccurate pose…

计算机视觉与模式识别 · 计算机科学 2025-10-22 Junwen Huang , Shishir Reddy Vutukur , Peter KT Yu , Nassir Navab , Slobodan Ilic , Benjamin Busam

We propose a method for lossy image compression based on recurrent, convolutional neural networks that outperforms BPG (4:2:0 ), WebP, JPEG2000, and JPEG as measured by MS-SSIM. We introduce three improvements over previous research that…

计算机视觉与模式识别 · 计算机科学 2017-03-30 Nick Johnston , Damien Vincent , David Minnen , Michele Covell , Saurabh Singh , Troy Chinen , Sung Jin Hwang , Joel Shor , George Toderici

Consider the scattering of a time-harmonic plane wave by heterogeneous media consisting of linear or nonlinear point scatterers and extended obstacles. A generalized Foldy-Lax formulation is developed to take fully into account of the…

数值分析 · 数学 2017-06-22 Jun Lai , Ming Li , Peijun Li , Wei Li

In this paper, we study the problem of decomposing a superposition of a low-rank matrix and a sparse matrix when a relatively few linear measurements are available. This problem arises in many data processing tasks such as aligning multiple…

信息论 · 计算机科学 2012-03-01 Arvind Ganesh , Kerui Min , John Wright , Yi Ma

In this work we propose a novel postprocessing technique for compression-artifact reduction. Our approach is based on posing this task as an inverse problem, with a regularization that leverages on existing state-of-the-art image denoising…

计算机视觉与模式识别 · 计算机科学 2016-06-29 Yehuda Dar , Alfred M. Bruckstein , Michael Elad , Raja Giryes

Led by a result derived from Sion's minimax theorem concerning constraint violation in quadratically constrained quadratic programs (QCQPs) with at least one constraint bounding the possible solution magnitude, we propose a heuristic scheme…

最优化与控制 · 数学 2025-04-22 Sean Molesky , Pengning Chao , Alessio Amaolo , Alejandro W. Rodriguez

Ill-posed inverse problems are fundamental in many domains, ranging from astrophysics to medical imaging. Emerging diffusion models provide a powerful prior for solving these problems. Existing maximum-a-posteriori (MAP) or posterior…

计算机视觉与模式识别 · 计算机科学 2026-05-15 Minseo Kim , Axel Levy , Gordon Wetzstein

Ultrasound reflection tomography is widely used to image large complex specimens that are only accessible from a single side, such as well systems and nuclear power plant containment walls. Typical methods for inverting the measurement rely…

图像与视频处理 · 电气工程与系统科学 2018-10-01 Hani Almansouri , S. V. Venkatakrishnan , Gregery T. Buzzard , Charles A. Bouman , Hector Santos-Villalobos

This paper proposes a new method for estimating sparse precision matrices in the high dimensional setting. It has been popular to study fast computation and adaptive procedures for this problem. We propose a novel approach, called Sparse…

统计方法学 · 统计学 2016-12-23 Weidong Liu , Xi Luo

We develop a novel primal-dual algorithm to solve a class of nonsmooth and nonlinear compositional convex minimization problems, which covers many existing and brand-new models as special cases. Our approach relies on a combination of a new…

最优化与控制 · 数学 2021-04-20 Yuzixuan Zhu , Deyi Liu , Quoc Tran-Dinh