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The construction of highly incoherent frames, sequences of vectors placed on the unit hyper sphere of a finite dimensional Hilbert space with low correlation between them, has proven very difficult. Algorithms proposed in the past have…

信息论 · 计算机科学 2016-11-28 Cristian Rusu , Nuria González-Prelcic

Accurate and real-time sensing of targets in three-dimensional (3D) environments is essential for modern machine vision, underpinning emerging technologies such as autonomous systems, robotic manipulation, augmented reality, and intelligent…

光学 · 物理学 2026-04-29 Shuo Wang , Deyu Zhu , Chenjie Xiong , Bin Hu , Chunqi Jin , Yu Wang , Chengjun Zou

An increasing share of image and video content is analyzed by machines rather than viewed by humans, and therefore it becomes relevant to optimize codecs for such applications where the analysis is performed remotely. Unfortunately,…

图像与视频处理 · 电气工程与系统科学 2020-11-13 Lahiru D. Chamain , Fabien Racapé , Jean Bégaint , Akshay Pushparaja , Simon Feltman

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

信息论 · 计算机科学 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Compressed sensing with sparse frame representations is seen to have much greater range of practical applications than that with orthonormal bases. In such settings, one approach to recover the signal is known as $\ell_1$-analysis. We…

信息论 · 计算机科学 2015-03-19 Yulong Liu , Tiebin Mi , Shidong Li

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

机器学习 · 计算机科学 2025-09-16 Shane Stevenson , Maryam Sabagh

Goal: This paper deals with the problems that some EEG signals have no good sparse representation and single channel processing is not computationally efficient in compressed sensing of multi-channel EEG signals. Methods: An optimization…

信息论 · 计算机科学 2015-06-30 Yipeng Liu , Maarten De Vos , Sabine Van Huffel

Limitations on bandwidth and power consumption impose strict bounds on data rates of diagnostic imaging systems. Consequently, the design of suitable (i.e. task- and data-aware) compression and reconstruction techniques has attracted…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Kees Janse , Massimo Mischi , Ruud J. G. van Sloun

We present a theoretical framework for temperature imaging from long-wavelength infrared thermal radiation (e.g. 8-12 $\mu$m) through the end-to-end design of a metasurface-optics frontend and a computational-reconstruction backend. We…

光学 · 物理学 2025-05-30 Sophie Fisher , Gaurav Arya , Arka Majumdar , Zin Lin , Steven G. Johnson

Compressed sensing deals with the recovery of sparse signals from linear measurements. Without any additional information, it is possible to recover an $s$-sparse signal using $m \gtrsim s \log(d/s)$ measurements in a robust and stable way.…

泛函分析 · 数学 2016-05-25 Axel Flinth

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

机器学习 · 计算机科学 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath

This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

统计理论 · 数学 2016-09-05 Rui M. Castro , Ervin Tánczos

Optical metasurfaces have been enabling reduced footprint and power consumption, as well as faster speeds, in the context of analog computing and image processing. While various image processing and optical computing functionalities have…

Compressed sensing is a relatively new mathematical paradigm that shows a small number of linear measurements are enough to efficiently reconstruct a large dimensional signal under the assumption the signal is sparse. Applications for this…

数值分析 · 数学 2018-01-08 Lenny Fukshansky , Deanna Needell , Benny Sudakov

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

信息论 · 计算机科学 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

The development of active metasurface systems, such as lasing metasurfaces, requires the optimization of multiple modes at the absorption and lasing wavelength bands, including their quality factor, mode profile and angular dispersion.…

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

信息论 · 计算机科学 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

End-to-end deep trainable models are about to exceed the performance of the traditional handcrafted compression techniques on videos and images. The core idea is to learn a non-linear transformation, modeled as a deep neural network,…

图像与视频处理 · 电气工程与系统科学 2022-09-05 Muhammet Balcilar , Bharath Damodaran , Pierre Hellier

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing sparse recovery guarantees in compressed sensing concern only single-sensor acquisition…

信息论 · 计算机科学 2023-08-31 Il Yong Chun , Ben Adcock