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Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

An image super-resolution method from multiple observation of low-resolution images is proposed. The method is based on sub-pixel accuracy block matching for estimating relative displacements of observed images, and sparse signal…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Toshiyuki Kato , Hideitsu Hino , Noboru Murata

Most popular hand-crafted key-point detectors such as Harris corner, SIFT, SURF aim to detect corners, blobs, junctions or other human defined structures in images. Though being robust with some geometric transformations, unintended…

Computer Vision and Pattern Recognition · Computer Science 2020-10-14 Thanh Hong-Phuoc , Ling Guan

We propose a convolutional recurrent sparse auto-encoder model. The model consists of a sparse encoder, which is a convolutional extension of the learned ISTA (LISTA) method, and a linear convolutional decoder. Our strategy offers a simple…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Hillel Sreter , Raja Giryes

Sparse coding (SC) is attracting more and more attention due to its comprehensive theoretical studies and its excellent performance in many signal processing applications. However, most existing sparse coding algorithms are nonconvex and…

Machine Learning · Computer Science 2017-09-12 Xiaodong Feng , Zhiwei Tang , Sen Wu

Sparse coding is an unsupervised learning algorithm that learns a succinct high-level representation of the inputs given only unlabeled data; it represents each input as a sparse linear combination of a set of basis functions. Originally…

Machine Learning · Computer Science 2012-06-26 Roger Grosse , Rajat Raina , Helen Kwong , Andrew Y. Ng

The sparse-driven radar imaging can obtain the high-resolution images about target scene with the down-sampled data. However, the huge computational complexity of the classical sparse recovery method for the particular situation seriously…

Quantum Physics · Physics 2022-01-05 Xiaowen Liu , Chen Dong , Ying Luo , Le Kang , Yong Liu , Qun Zhang

The sparsity of signals in a transform domain or dictionary has been exploited in applications such as compression, denoising and inverse problems. More recently, data-driven adaptation of synthesis dictionaries has shown promise compared…

Machine Learning · Computer Science 2019-06-14 Saiprasad Ravishankar , Raj Rao Nadakuditi , Jeffrey A. Fessler

In dictionary learning, also known as sparse coding, the algorithm is given samples of the form $y = Ax$ where $x\in \mathbb{R}^m$ is an unknown random sparse vector and $A$ is an unknown dictionary matrix in $\mathbb{R}^{n\times m}$…

Data Structures and Algorithms · Computer Science 2014-01-06 Sanjeev Arora , Aditya Bhaskara , Rong Ge , Tengyu Ma

In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

Sparse decomposition has been widely used for different applications, such as source separation, image classification and image denoising. This paper presents a new algorithm for segmentation of an image into background and foreground text…

Computer Vision and Pattern Recognition · Computer Science 2016-12-22 Shervin Minaee , Yao Wang

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

This work presents an approach for image reconstruction in clinical low-dose tomography that combines principles from sparse signal processing with ideas from deep learning. First, we describe sparse signal representation in terms of…

Machine Learning · Statistics 2023-11-27 Jevgenija Rudzusika , Thomas Koehler , Ozan Öktem

We examine in this paper the problem of image registration from the new perspective where images are given by sparse approximations in parametric dictionaries of geometric functions. We propose a registration algorithm that looks for an…

Computer Vision and Pattern Recognition · Computer Science 2013-12-31 Alhussein Fawzi , Pascal Frossard

Recent advances suggest that a wide range of computer vision problems can be addressed more appropriately by considering non-Euclidean geometry. This paper tackles the problem of sparse coding and dictionary learning in the space of…

Machine Learning · Computer Science 2013-04-17 Mehrtash T. Harandi , Conrad Sanderson , Richard Hartley , Brian C. Lovell

Sparse coding has been proposed as a theory of visual cortex and as an unsupervised algorithm for learning representations. We show empirically with the MNIST dataset that sparse codes can be very sensitive to image distortions, a behavior…

Computer Vision and Pattern Recognition · Computer Science 2022-04-18 Kyle Luther , H. Sebastian Seung

Over the past few years, dictionary learning (DL)-based methods have been successfully used in various image reconstruction problems. However, traditional DL-based computed tomography (CT) reconstruction methods are patch-based and ignore…

As a basic component of SE(3)-equivariant deep feature learning, steerable convolution has recently demonstrated its advantages for 3D semantic analysis. The advantages are, however, brought by expensive computations on dense, volumetric…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Jiehong Lin , Hongyang Li , Ke Chen , Jiangbo Lu , Kui Jia

Sparse optimization is a central problem in machine learning and computer vision. However, this problem is inherently NP-hard and thus difficult to solve in general. Combinatorial search methods find the global optimal solution but are…

Optimization and Control · Mathematics 2020-06-30 Ganzhao Yuan , Li Shen , Wei-Shi Zheng

Sparse coding, which is the decomposition of a vector using only a few basis elements, is widely used in machine learning and image processing. The basis set, also called dictionary, is learned to adapt to specific data. This approach has…

Machine Learning · Computer Science 2011-12-13 Louise Benoît , Julien Mairal , Francis Bach , Jean Ponce