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Image co-segmentation is a challenging task in computer vision that aims to segment all pixels of the objects from a predefined semantic category. In real-world cases, however, common foreground objects often vary greatly in appearance,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Wei Teng , Yu Zhang , Xiaowu Chen , Jia Li , Zhiqiang He

Volumetric image compression has become an urgent task to effectively transmit and store images produced in biological research and clinical practice. At present, the most commonly used volumetric image compression methods are based on…

Image and Video Processing · Electrical Eng. & Systems 2022-10-19 Dongmei Xue , Haichuan Ma , Li Li , Dong Liu , Zhiwei Xiong

In this paper, we describe some recent results obtained in the context of vector subdivision schemes which possess the so-called full rank property. Such kind of schemes, in particular those which have an interpolatory nature, are connected…

Numerical Analysis · Mathematics 2013-03-06 Mariantonia Cotronei , Costanza Conti

In several papers of 2013 - 2016, Guglielmi and Protasov made a breakthrough in the problem of the joint spectral radius computation, developing the invariant polytope algorithm which for most matrix families finds the exact value of the…

Numerical Analysis · Mathematics 2020-06-23 Thomas Mejstrik

We present the Wavelet-based Edge Multiscale Parareal (WEMP) Algorithm, recently proposed in [Li and Hu, {\it J. Comput. Phys.}, 2021], for efficiently solving subdiffusion equations with heterogeneous coefficients in long time. This…

Numerical Analysis · Mathematics 2024-06-14 Guanglian Li

Despite the popularity and empirical success of patch-based nearest-neighbor and weighted majority voting approaches to medical image segmentation, there has been no theoretical development on when, why, and how well these nonparametric…

Computer Vision and Pattern Recognition · Computer Science 2015-10-07 George Chen , Devavrat Shah , Polina Golland

Inspired by the key principle behind the EM algorithm, we propose a general methodology for conducting wavelet estimation with irregularly-spaced data by viewing the data as the observed portion of an augmented regularly-spaced data set. We…

Statistics Theory · Mathematics 2007-06-13 Thomas C. M. Lee , Xiao-Li Meng

Frequencies of substructure within Abell clusters determined for the same objects using the wavelet analysis for 2-D and 3-D data are similar.

Astrophysics · Physics 2007-05-23 Piotr Flin , Janusz Krywult

Deep learning image classifiers usually rely on huge training sets and their training process can be described as learning the similarities and differences among training images. But, images in large training sets are not usually studied…

Image and Video Processing · Electrical Eng. & Systems 2020-05-19 Roozbeh Yousefzadeh

Cloud segmentation amounts to separating cloud pixels from non-cloud pixels in an image. Current deep learning methods for cloud segmentation suffer from three issues. (a) Constrain on their receptive field due to the fixed size of the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Yijie Li , Hewei Wang , Jinfeng Xu , Puzhen Wu , Yunzhong Xiao , Shaofan Wang , Soumyabrata Dev

Objective. Limited access to breast cancer diagnosis globally leads to delayed treatment. Ultrasound, an effective yet underutilized method, requires specialized training for sonographers, which hinders its widespread use. Approach. Volume…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Donya Khaledyan , Thomas J. Marini , Avice OConnell , Steven Meng , Jonah Kan , Galen Brennan , Yu Zhao , Timothy M. Baran , Kevin J. Parker

Deep unfolding networks have gained increasing attention in the field of compressed sensing (CS) owing to their theoretical interpretability and superior reconstruction performance. However, most existing deep unfolding methods often face…

Image and Video Processing · Electrical Eng. & Systems 2025-04-17 Kai Han , Jin Wang , Yunhui Shi , Hanqin Cai , Nam Ling , Baocai Yin

The aim of this paper is to show the usefulness of Meyer wavelets for the classical problem of density estimation and for density deconvolution from noisy observations. By using such wavelets, the computation of the empirical wavelet…

Statistics Theory · Mathematics 2009-03-27 Jeremie Bigot

This work shows the use of a two-dimensional Gabor wavelets in image processing. Convolution with such a two-dimensional wavelet can be separated into two series of one-dimensional ones. The key idea of this work is to utilize a Gabor…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 David Barina

For artificial intelligence-based image analysis methods to reach clinical applicability, the development of high-performance algorithms is crucial. For example, existent segmentation algorithms based on natural images are neither efficient…

Image and Video Processing · Electrical Eng. & Systems 2021-09-15 Moritz Knolle , Georgios Kaissis , Friederike Jungmann , Sebastian Ziegelmayer , Daniel Sasse , Marcus Makowski , Daniel Rueckert , Rickmer Braren

In this paper, we propose to improve image decomposition algorithms in the case of noisy images. In \cite{gilles1,aujoluvw}, the authors propose to separate structures, textures and noise from an image. Unfortunately, the use of separable…

Image and Video Processing · Electrical Eng. & Systems 2024-11-12 Jerome Gilles

The rapid development of deep learning has made a great progress in image segmentation, one of the fundamental tasks of computer vision. However, the current segmentation algorithms mostly rely on the availability of pixel-level…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Wei Shen , Zelin Peng , Xuehui Wang , Huayu Wang , Jiazhong Cen , Dongsheng Jiang , Lingxi Xie , Xiaokang Yang , Qi Tian

The multiscale complexity of modern problems in computational science and engineering can prohibit the use of traditional numerical methods in multi-dimensional simulations. Therefore, novel algorithms are required in these situations to…

Numerical Analysis · Mathematics 2021-06-15 Cale Harnish , Luke Dalessandro , Karel Matous , Daniel Livescu

We give asymptotic approximations of the zeros of certain high degree polynomials. The zeros can be used to compute the filter coefficients in the dilation equations which define the compactly supported orthogonal Daubechies wavelets.…

Classical Analysis and ODEs · Mathematics 2025-10-20 Nico M. Temme

Current successful approaches for generic (non-semantic) segmentation rely mostly on edge detection and have leveraged the strengths of deep learning mainly by improving the edge detection stage in the algorithmic pipeline. This is in…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Or Isaacs , Oran Shayer , Michael Lindenbaum
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