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We present a generalization of the bilateral filter that can be applied to feature-preserving smoothing of signals on images, meshes, and other domains within a single unified framework. Our discretization is competitive with…

Graphics · Computer Science 2014-05-20 Justin Solomon , Keenan Crane , Adrian Butscher , Chris Wojtan

We propose a new image denoising algorithm when the data is contaminated by a Poisson noise. As in the Non-Local Means filter, the proposed algorithm is based on a weighted linear combination of the bserved image. But in contract to the…

Applications · Statistics 2012-01-31 Qiyu Jin , Ion Grama , Quansheng Liu

A deep convolutional neural network has been developed to denoise atomic-resolution TEM image datasets of nanoparticles acquired using direct electron counting detectors, for applications where the image signal is severely limited by shot…

We study the problem of moving a vertex in an unstructured mesh of triangular, quadrilateral, or tetrahedral elements to optimize the shapes of adjacent elements. We show that many such problems can be solved in linear time using…

Computational Geometry · Computer Science 2010-01-21 Nina Amenta , Marshall Bern , David Eppstein

In this paper, we propose the use of denoising for microphone classification, to enable its usage for several key application domains that involve noisy conditions. We describe the proposed analysis pipeline and the baseline algorithm for…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-04 L. Cuccovillo , A. Giganti , P. Bestagini , P. Aichroth , S. Tubaro

Training neural networks is a challenging non-convex optimization problem, and backpropagation or gradient descent can get stuck in spurious local optima. We propose a novel algorithm based on tensor decomposition for guaranteed training of…

Machine Learning · Computer Science 2016-01-13 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

Normal integration reconstructs 3D surfaces from normal maps obtained e.g. by photometric stereo. These normal maps capture surface details down to the pixel level but require large computational resources for integration at high…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Moritz Heep , Sven Behnke , Eduard Zell

This work concerns noise reduction for one-dimensional spectra in the case that the signal is corrupted by an additive white noise. The proposed method starts with mapping the noisy spectrum to a partial circulant matrix. In virtue of…

Data Analysis, Statistics and Probability · Physics 2020-10-29 X. C. Chen , Yu. A. Litvinov , M. Wang , Q. Wang , Y. H. Zhang

This article provides next step towards solving speed bottleneck of any system that intensively uses convolutions operations (e.g. CNN). Method described in the article is applied on deformable part models (DPM) algorithm. Method described…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 D. V. Parkhomenko , I. L. Mazurenko

Randomized smoothing is a well-established method for achieving certified robustness against l2-adversarial perturbations. By incorporating a denoiser before the base classifier, pretrained classifiers can be seamlessly integrated into…

Machine Learning · Computer Science 2025-09-16 Ali Hedayatnia , Mostafa Tavassolipour , Babak Nadjar Araabi , Abdol-Hossein Vahabie

Currently, the noise level of color images is estimated by many algorithms through separate selection of each page of the third-order tensor using sliding blocks of size ${M_1} \times {M_1}$. The data structure of the tensor is disrupted by…

Optimization and Control · Mathematics 2025-07-29 Hanxin Liu , Yisheng Song

In this paper, we propose a novel image denoising algorithm exploiting features from both spatial as well as transformed domain. We implement intensity-invariance based improved grouping for collaborative support-agnostic sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Muzammil Behzad

In machine learning approach to image denoising a network is trained to recover a clean image from a noisy one. In this paper a novel structure is proposed based on training multiple specialized networks as opposed to existing structures…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Seyed Mohsen Hosseini

This paper presents a deep learning-based de-homogenization method for structural compliance minimization. By using a convolutional neural network to parameterize the mapping from a set of lamination parameters on a coarse mesh to a…

Machine Learning · Computer Science 2021-11-03 Martin O. Elingaard , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

A new multiscale implementation of non-local means filtering for image denoising is proposed. The proposed algorithm also introduces a modification of similarity measure for patch comparison. The standard Euclidean norm is replaced by…

Computer Vision and Pattern Recognition · Computer Science 2013-04-04 Zahid Hussain Shamsi , Dai-Gyoung Kim

Deep learning-based medical image segmentation and surface mesh generation typically involve a sequential pipeline from image to segmentation to meshes, often requiring large training datasets while making limited use of prior geometric…

We examine the use of domain decomposition for potentially more efficient mean curvature flow of surface meshes, whose faces are arbitrary simple polygons. We first test traditional domain decomposition methods with and without overlap of…

Numerical Analysis · Mathematics 2026-05-13 Lenka Ptackova , Michal Outrata

In low-visibility marine environments characterized by turbidity and darkness, acoustic cameras serve as visual sensors capable of generating high-resolution 2D sonar images. However, acoustic camera images are interfered with by complex…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Xiaoteng Zhou , Katsunori Mizuno , Yilong Zhang

Ultrasound images are widespread in medical diagnosis for musculoskeletal, cardiac, and obstetrical imaging due to the efficiency and non-invasiveness of the acquisition methodology. However, the acquired images are degraded by acoustic…

Image and Video Processing · Electrical Eng. & Systems 2023-06-14 Hojat Asgariandehkordi , Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

Object: Modern computational MRI denoising approaches are often designed assuming fixed k-space coverage. This contrasts with earlier acquisition-design literature that leveraged k-space coverage modifications (e.g., reducing spatial…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Jiayang Wang , Justin P. Haldar