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This paper proposes a subspace decomposition method based on an over-complete dictionary in sparse representation, called "Sparse Signal Subspace Decomposition" (or 3SD) method. This method makes use of a novel criterion based on the…

Machine Learning · Statistics 2016-10-28 Hong Sun , Chengwei Sang , Didier Le Ruyet

In the theory of compressed sensing (CS), the sparsity $\|x\|_0$ of the unknown signal $\mathbf{x} \in \mathcal{R}^n$ is of prime importance and the focus of reconstruction algorithms has mainly been either $\|x\|_0$ or its convex…

Information Theory · Computer Science 2016-05-17 Mithun Das Gupta

We study the information-theoretic limits of exactly recovering the support of a sparse signal using noisy projections defined by various classes of measurement matrices. Our analysis is high-dimensional in nature, in which the number of…

Statistics Theory · Mathematics 2008-06-04 Wei Wang , Martin J. Wainwright , Kannan Ramchandran

Depth estimation aims to predict dense depth maps. In autonomous driving scenes, sparsity of annotations makes the task challenging. Supervised models produce concave objects due to insufficient structural information. They overfit to valid…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Jiaqi Li , Yiran Wang , Zihao Huang , Jinghong Zheng , Ke Xian , Zhiguo Cao , Jianming Zhang

Depth estimation, as a necessary clue to convert 2D images into the 3D space, has been applied in many machine vision areas. However, to achieve an entire surrounding 360-degree geometric sensing, traditional stereo matching algorithms for…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Keyang Zhou , Kailun Yang , Kaiwei Wang

This paper introduces a new method for learning and inferring sparse representations of depth (disparity) maps. The proposed algorithm relaxes the usual assumption of the stationary noise model in sparse coding. This enables learning from…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Ivana Tosic , Bruno A. Olshausen , Benjamin J. Culpepper

We present a novel approach for metric dense depth estimation based on the fusion of a single-view image and a sparse, noisy Radar point cloud. The direct fusion of heterogeneous Radar and image data, or their encodings, tends to yield…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Han Li , Yukai Ma , Yaqing Gu , Kewei Hu , Yong Liu , Xingxing Zuo

Determining the shape of 3D objects from high-frequency radar signals is analytically complex but critical for commercial and aerospace applications. Previous deep learning methods have been applied to radar modeling; however, they often…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Neel Sortur , Justin Goodwin , Purvik Patel , Luis Enrique Martinez , Tzofi Klinghoffer , Rajmonda S. Caceres , Robin Walters

Depth estimation is one of the essential tasks to be addressed when creating mobile autonomous systems. While monocular depth estimation methods have improved in recent times, depth completion provides more accurate and reliable depth maps…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Wolfgang Boettcher , Lukas Hoyer , Ozan Unal , Ke Li , Dengxin Dai

Depth acquisition, based on active illumination, is essential for autonomous and robotic navigation. LiDARs (Light Detection And Ranging) with mechanical, fixed, sampling templates are commonly used in today's autonomous vehicles. An…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Adam Wolff , Shachar Praisler , Ilya Tcenov , Guy Gilboa

With the prevalence of multimodal learning, camera-LiDAR fusion has gained popularity in 3D object detection. Although multiple fusion approaches have been proposed, they can be classified into either sparse-only or dense-only fashion based…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Yulu Gao , Chonghao Sima , Shaoshuai Shi , Shangzhe Di , Si Liu , Hongyang Li

Accurate dense depth estimation is crucial for autonomous vehicles to analyze their environment. This paper presents a non-deep learning-based approach to densify a sparse LiDAR-based depth map using a guidance RGB image. To achieve this…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Bryan Krauss , Gregory Schroeder , Marko Gustke , Ahmed Hussein

Regularized regression problems are ubiquitous in statistical modeling, signal processing, and machine learning. Sparse regression in particular has been instrumental in scientific model discovery, including compressed sensing applications,…

Machine Learning · Statistics 2018-11-09 Peng Zheng , Travis Askham , Steven L. Brunton , J. Nathan Kutz , Aleksandr Y. Aravkin

Accurate three-dimensional perception is essential for modern industrial robotic systems that perform manipulation, inspection, and navigation tasks. RGB-D and stereo vision sensors are widely used for this purpose, but the depth maps they…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Tony Salloom , Dandi Zhou , Xinhai Sun

4D radar measurements offer an affordable and weather-robust solution for 3D perception. However, the inherent sparsity and noise of radar point clouds present significant challenges for accurate 3D object detection, underscoring the need…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Xiaokai Bai , Jiahao Cheng , Songkai Wang , Yixuan Luo , Lianqing Zheng , Xiaohan Zhang , Si-Yuan Cao , Hui-Liang Shen

Millimeter-wave radar for state estimation is gaining significant attention for its affordability and reliability in harsh conditions. Existing localization solutions typically rely on post-processed radar point clouds as landmark points.…

Robotics · Computer Science 2025-10-01 Shengpeng Wang , Yulong Xie , Qing Liao , Wei Wang

Dense depth estimation using millimeter-wave radar typically requires dense LiDAR supervision, generated via multi-frame projection and interpolation, for guiding the learning of accurate depth from sparse radar measurements and RGB images.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Xingrui Qin , Wentao Zhao , Chuan Cao , Yihe Niu , Tianchen Deng , Houcheng Jiang , Rui Guo , Jingchuan Wang

Recent advances in depth sensing technologies allow fast electronic maneuvering of the laser beam, as opposed to fixed mechanical rotations. This will enable future sensors, in principle, to vary in real-time the sampling pattern. We…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Ilya Tcenov , Guy Gilboa

Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

Information Theory · Computer Science 2016-11-24 M. Ferreira Da Costa , W. Dai

The iterations of many sparse estimation algorithms are comprised of a fixed linear filter cascaded with a thresholding nonlinearity, which collectively resemble a typical neural network layer. Consequently, a lengthy sequence of algorithm…

Machine Learning · Computer Science 2016-05-11 Bo Xin , Yizhou Wang , Wen Gao , David Wipf
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