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Fast coverage of k-space is a major concern to speed up data acquisition in Magnetic Resonance Imaging (MRI) and limit image distortions due to long echo train durations. The hardware gradient constraints (magnitude, slew rate) must be…

Optimization and Control · Mathematics 2014-12-31 Nicolas Chauffert , Pierre Weiss , Jonas Kahn , Philippe CIUCIU

Optimizing 3D k-space sampling trajectories for efficient MRI is important yet challenging. This work proposes a generalized framework for optimizing 3D non-Cartesian sampling patterns via data-driven optimization. We built a differentiable…

Signal Processing · Electrical Eng. & Systems 2022-09-23 Guanhua Wang , Jon-Fredrik Nielsen , Jeffrey A. Fessler , Douglas C. Noll

\textbf{Objective: }To develop a real-time method for designing gradient waveforms for arbitrary $k$-space trajectories that are time-optimal and hardware-compliant. \textbf{Methods: }The gradient waveform is solved recursively under both…

Medical Physics · Physics 2025-09-10 Rui Luo , Hongzhang Huang , Qinfang Miao , Jian Xu , Peng Hu , Haikun Qi

We present a gradient-based optimal-control technique for open quantum systems that utilizes quantum trajectories to simulate the quantum dynamics during optimization. Using trajectories allows for optimizing open systems with less…

Quantum Physics · Physics 2019-06-03 Mohamed Abdelhafez , David I. Schuster , Jens Koch

Topology optimization techniques have been applied in integrated optics and nanophotonics for the inverse design of devices with shapes that cannot be conceived by human intuition. At optical frequencies, these techniques have only been…

Optics · Physics 2022-04-15 Emadeldeen Hassan , Antonio Calà Lesina

The inherent slow imaging speed of Magnetic Resonance Image (MRI) has spurred the development of various acceleration methods, typically through heuristically undersampling the MRI measurement domain known as k-space. Recently, deep neural…

Image and Video Processing · Electrical Eng. & Systems 2022-04-13 Wei Peng , Li Feng , Guoying Zhao , Fang Liu

Structured optical waveforms are emerging as powerful control fields for the next generation of complex photonic and electromagnetic systems, where the temporal structure of light can determine the ultimate performance of scientific…

MRI systems are traditionally engineered to produce close to idealized performance, enabling a simplified pulse sequence design philosophy. An example of this is control of eddy currents produced by gradient fields; usually these are…

A wide range of modern science and engineering applications are formulated as optimization problems with a system of partial differential equations (PDEs) as constraints. These PDE-constrained optimization problems are typically solved in a…

Artificial Intelligence · Computer Science 2021-04-28 Yuyu Zhang , Heng Chi , Binghong Chen , Tsz Ling Elaine Tang , Lucia Mirabella , Le Song , Glaucio H. Paulino

In this paper, a computational resources-aware parameter adaptation method for visual-inertial navigation systems is proposed with the goal of enabling the improved deployment of such algorithms on computationally constrained systems. Such…

Robotics · Computer Science 2021-06-02 Pranay Mathur , Nikhil Khedekar , Kostas Alexis

We provide several quantum algorithms for continuous optimization that do not require gradient estimation. Instead, we encode the optimization problem into the dynamics of a physical system and coherently simulate the time evolution. We…

Quantum Physics · Physics 2026-03-18 Ahmet Burak Catli , Sophia Simon , Nathan Wiebe

Optimizing k-space sampling trajectories is a promising yet challenging topic for fast magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method and sampling trajectories jointly concerning image…

Signal Processing · Electrical Eng. & Systems 2022-04-15 Guanhua Wang , Tianrui Luo , Jon-Fredrik Nielsen , Douglas C. Noll , Jeffrey A. Fessler

Efficiently selecting an appropriate spike stream data length to extract precise information is the key to the spike vision tasks. To address this issue, we propose a dynamic timing representation for spike streams. Based on multi-layers…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Lujie Xia , Ziluo Ding , Rui Zhao , Jiyuan Zhang , Lei Ma , Zhaofei Yu , Tiejun Huang , Ruiqin Xiong

Optimization problems constrained by high-dimensional, time-dependent partial differential equations require repeated forward and sensitivity solves, making high-fidelity optimization computationally prohibitive in many-query design and…

Optimization and Control · Mathematics 2026-05-21 April Tran , Terry Haut , David Bortz , Youngsoo Choi

A gradient-based method for shape optimization problems constrained by the acoustic wave equation is presented. The method makes use of high-order accurate finite differences with summation-by-parts properties on multiblock curvilinear…

Numerical Analysis · Mathematics 2024-05-09 Gustav Eriksson , Vidar Stiernström

This paper considers the problem of online trajectory design under time-varying environments. We formulate the general trajectory optimization problem within the framework of time-varying constrained convex optimization and proposed a novel…

Optimization and Control · Mathematics 2020-01-09 Mohan Krishna Nutalapati , Amrit Singh Bedi , Ketan Rajawat , Marceau Coupechoux

Trajectory replanning for quadrotors is essential to enable fully autonomous flight in unknown environments. Hierarchical motion planning frameworks, which combine path planning with path parameterization, are popular due to their time…

Robotics · Computer Science 2019-06-25 Wenchao Ding , Wenliang Gao , Kaixuan Wang , Shaojie Shen

Online state-time trajectory planning in highly dynamic environments remains an unsolved problem due to the unpredictable motions of moving obstacles and the curse of dimensionality from the state-time space. Existing state-time planners…

Robotics · Computer Science 2020-10-30 Delong Zhu , Tong Zhou , Jiahui Lin , Yuqi Fang , Max Q. -H. Meng

The Spreading Projection Algorithm for Rapid K-space samplING, or SPARKLING, is an optimization-driven method that has been recently introduced for accelerated 2D T2*-w MRI using compressed sensing. It has then been extended to address 3D…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-26 Chaithya G R , Pierre Weiss , Guillaume Daval-Frérot , Aurélien Massire , Alexandre Vignaud , Philippe Ciuciu

Traditional autonomous driving pipelines decouple camera design from downstream perception, relying on fixed optics and handcrafted ISPs that prioritize human viewable imagery rather than machine semantics. This separation discards…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Reeshad Khan , John Gauch
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