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Semi-analytical non-iterative cross-correlation frequency-resolved optical gating retrieving algorithm

OPTICS COMMUNICATIONS 2025年 574卷

作者： Jarutis, Vygandas Stravinskaite, Auguste Kuliesaite, Migle Vengelis, Julius Vilnius Univ Laser Res Ctr Sauletekio Ave 10 LT-10223 Vilnius Lithuania

In this article we present a semi-analytical non-iterative algorithm for reconstruction of complex pulse amplitude from cross-correlational frequency resolved optical gating (XFROG) measurement when Gaussian shape pulse is used as reference pulse. The method is tested both with digitally generated data and experimentally measured XFROG traces and allowed to estimate retrieving uncertainty.

关键词： XFROG non-iterative algorithm Pulse characterization

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Boundary geometry reconstruction for orthotropic heat conduction problems based on HT-FEM

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NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 2025年第1期86卷 87-105页

作者： Qiu, Wenkai Chen, Haolong Zhou, Huanlin Hefei Univ Technol Sch Civil Engn Hefei Peoples R China

It is usually inconvenient to directly measure the inner boundary geometry shape of thermal pipeline and furnace wall in engineering. A non-iterative algorithm is proposed to reconstruct the geometry shape of these structures for orthotropic heat conduction problems in nondestructive evaluation. First, the temperature of measurement points in the real domain is determined by utilizing the hybrid Trefftz finite element method (HT-FEM). Then, a virtual inner boundary is introduced into forming a virtual domain. The deviation between the measured temperature and the estimated temperature is defined as an objective function. The temperature on the virtual boundary is obtained by calculating the minimum of the objective function. Finally, the virtual boundary temperature is substituted into the direct problem to acquire the temperature distribution in the global domain. And the inner boundary geometry shape is identified by searching the isothermal curve. Several numerical examples are provided to verify the stability and effectiveness of the proposed method. The merit of this algorithm is that the unknown geometry shape can be directly and accurately reconstructed without the complex iterative process.

关键词： Geometry reconstruction HT-FEM inverse problem non-iterative algorithm orthotropic heat conduction

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Fast overlap removal for location-related representation elements

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NEURAL COMPUTING & APPLICATIONS 2022年第5期34卷 3483-3494页

作者： Chen, Hongqian Li, Hui Beijing Technol & Business Univ Sch Comp Sci & Engn Beijing 100048 Peoples R China Beijing Union Univ Management Coll Beijing 100101 Peoples R China Beijing Key Lab Big Data Technol Food Safety Beijing 100048 Peoples R China Inst Sci & Tech Informat China Beijing 100038 Peoples R China

In order to resolve the issues with overlapping elements in location-related applications, an element adjustment method is proposed. This adjustment method can be implemented using a non-iterative algorithm which can significantly improve the processing efficiency of overlap removal. The method first sorts out all the elements according to the distance from the preset Starting Point. Repulsive offset adjustment is used for circular elements. It can be validated through theoretical derivation. Finally, the influencing factors of algorithm parameters are analyzed. Suggestions are given to further optimization of the algorithm. Experimental results show that it can effectively remove overlapping. The relative positional relationship among elements can be preserved to the greatest extent. User's verifications and expert's evaluation show that it can also achieve high recognition rate between the geographic region and its representation element.

关键词： Location-related data Overlap removal Element adjustment non-iterative algorithm

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Generation of non-iterative POHs based on Optimized Hybrid Phase for Fresnel Lensless Holographic Projection

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TEHNICKI VJESNIK-TECHNICAL GAZETTE 2024年第1期31卷 262-271页

作者： Fan, Min Wang, Jiaxuan Du, Chengtao Yang, Jin Wang, Haibo Xu, Xiaoli Hefei Normal Univ AnHui Prov Key Lab simulat & design Elect informat Hefei 230061 Peoples R China Hefei Normal Univ Sch Elect & Elect Engn Hefei 230061 Peoples R China West Anhui Univ Dept Elect & Photo Engn Luan 237012 Peoples R China

Phase-Only Holograms (POHs) are widely embraced for their advantages, including high quality reconstruction and high diffraction efficiency. However, when generating POHs, the utilization of solely random or quadratic phase often leads to speckle noise and ringing artifacts in reconstructed image. To tackle this issue, this paper introduces a non-iterative Optimized Hybrid Phase-only Holograms (OHPOHs) algorithm designed for Fresnel Lensless Holographic Projection system. The proposed algorithm consists of three steps. Firstly, selected quadratic phase and random phase are combined with an appropriate weight coefficient to create a hybrid phase. Next, the hybrid phase is iteratively optimized. Lastly, a complex amplitude is formed by combining the optimized hybrid phase and arbitrary target image, resulting in the generation of POHs through a single-step calculation. Additionally, this paper explores the process of selecting an appropriate weight coefficient for the phase blending procedure. Numerical experiments demonstrate that the non-iterative OHPOHs achieves superior reconstruction of high-quality images by effectively suppressing speckle noise and ringing artifacts. Moreover, this improvement is achieved while maintaining computation efficiency comparable to that of the Optimized Random Phase (ORAP) algorithm and the Hybrid Phase-Only Hologram (HPOHs) algorithm.

关键词： fresnel lensless holographic projection non-iterative algorithm optimized hybrid phase mask phase only holograms

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Extended framework of Hamilton's principle for single-degree-of-freedom nonlinear damping systems

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JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL 2021年第3期40卷 1437-1452页

作者： Kim, Jinkyu Hanyang Univ Sch Architecture & Architectural Engn 55 Hanyangdaehak Ro Sangnok 15588 Kyeonggi South Korea

The paper explores application of the variational formalism called extended framework of Hamilton's principle to nonlinear damping systems. Single-degree-of-freedom systems with dominant source of nonlinearity from polynomial powers of the velocity are initially considered. Appropriate variational formulation is provided, and then the corresponding weak form is discretized to produce a novel computational method. The resulting low-order temporal finite element method utilizes non-iterative algorithm, and some examples are provided to verify its performance. The present temporal finite element method using small time step is equivalent to the adaptive Runge-Kutta-Fehlberg method with default error tolerances in MATLAB, and additional simulation shows its good convergence characteristics.

关键词： Extended framework of Hamilton's principle nonlinear damping system non-iterative algorithm variational formalism temporal finite element method

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Generalized Multiplexed Waveform Design Framework for Cost-Optimized MIMO Radar

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2021年 69卷 88-102页

作者： Hammes, Christian Shankar, Bhavani M. R. Ottersten, Bjorn Univ Luxembourg Interdisciplinary Ctr Secur Reliabil & Trust L-1855 Luxembourg Luxembourg

Cost-optimization through the minimization of hardware and processing costs with minimal loss in performance is an interesting design paradigm in evolving and emerging Multiple-Input-Multiple-Output (MIMO) radar systems. This optimization is a challenging task due to the increasing Radio Frequency (RF) hardware complexity as well as the signal design algorithm complexity in applications requiring high angular resolution. Towards addressing these, the paper proposes a low-complexity signal design framework, which incorporates a generalized time multiplex scheme for reducing the RF hardware complexity with a subsequent discrete phase modulation. The scheme further aims at achieving simultaneous transmit beamforming and maximum virtual MIMO aperture to enable better target detection and discrimination performance. Furthermore, the paper proposes a low-complexity signal design scheme for beampattern matching in the aforementioned setting. The conducted performance evaluation indicates that the listed design objectives are met.

关键词： Radio frequency Modulation MIMO communication Multiplexing Optimization Complexity theory Array signal processing Angle-Doppler coupling suppression block-circulant decomposition MIMO radar multiplexing non-iterative algorithm transmit beamforming virtual MIMO convex optimization finite alphabets multiple phase shift keying

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non-iterative pose estimation method based on the polarization information via a parallelogram

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MEASUREMENT 2022年 187卷 110274-110274页

作者： Zhang Zimiao Xu Kai Wu Yanan Zhang Shihai Tianjin Univ Technol & Educ Sch Mech Engn Tianjin Peoples R China Tianjin Eye Hosp Tianjin Key Lab Ophthalmol & Visual Sci Tianjin Peoples R China

As for vision-based pose estimation, which is also known as the PnP problem, non-iterative algorithms are more efficient. Precise extraction of 2D projections of feature points is important. If the projections of the feature points are not accurately extracted, the pose estimation accuracy is reduced. Under the condition of natural light, a camera captures the images of feature points, and the existence of high-light regions in the image affects the extraction accuracy of 2D projections of feature points, which reduces the number of effective feature points and leads to poor pose estimation accuracy. In the redundant cases (n > 4), redundant feature points are introduced as additional information, increasing the number of effective feature points to reduce the impact of high-light regions and improve the pose estimation accuracy. For the non-redundant cases (n = 4), it was difficult to ensure pose estimation accuracy. To solve this problem, a non-iterative pose estimation method based on the optimum polarization angle via four corner points of a parallelogram was proposed in this study. First, a model for solving optimum polarization angle was established. Thereafter, on the premise of the optimum polarization angle, the images were captured. Finally, the projections of the four corner points of a parallelogram were extracted, and the object pose was solved non-iteratively according to the four corner points. The corner point extraction experimental results show that the slope difference between the two parallel sides of each parallelogram under the condition of optimum polarization angle is less than that under the condition of natural light, thereby proving the improvement of the imaging quality. Measurement accuracy verification experiments prove that our pose estimation algorithm and the optimum polarization angle is the best combination to improve the non-iterative pose estimation accuracy in non-redundant cases. In the measurement range of - 60-+60 degrees, th

关键词： Pose estimation Polarizer The optimum polarization angle non-iterative algorithm

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Extended framework of Hamilton's principle applied to Duffing oscillation

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APPLIED MATHEMATICS AND COMPUTATION 2020年 367卷 124762-000页

作者： Kim, Jinkyu Lee, Hyeonseok Shin, Jinwon Hanyang Univ Sch Architecture & Architectural Engn 55 Hanyangdaehak Ro Seoul 15588 Kyeonggi Do South Korea Korea Construct Safety Engn 17 SuYeong Ro1079-3 GwangAn Dong665Beon Gil Busan 48243 South Korea Catholic Kwandong Univ Dept Architectural Engn 24 Beomil Ro579Beon Gil Gangneung Si 25601 Gangwon Do South Korea

The paper begins with a novel variational formulation of Duffing equation using the extended framework of Hamilton's principle (EHP). Unlike the original Hamilton's principle, this formulation properly accounts for initial conditions, and it recovers all the governing differential equations as its Euler-Lagrange equation. Thus, it serves base for the development of novel computational methods, involving finite element representation over time. For its feasibility, we provide the simplest temporal finite element method by adopting linear temporal shape functions. Numerical examples are included to verify and investigate performance of non-iterative algorithm in the developed method. (C) 2019 Published by Elsevier Inc.

关键词： Duffing equation Extended framework of Hamilton's principle Variational formulation Temporal finite element method non-iterative algorithm

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Computationally Efficient Robust algorithm for Generalized Sensor Calibration Problem AR = RB

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IEEE SENSORS JOURNAL 2019年第20期19卷 9512-9521页

作者： Wu, Jin Liu, Ming Qi, Yuhua Hong Kong Univ Sci & Technol Dept Elect & Comp Engn Hong Kong Peoples R China Beijing Inst Technol Sch Aerosp Engn Beijing 100081 Peoples R China

This paper involves solving the generalized sensor calibration problem AR = RB with rotations A, B, R is an element of SO(3), where A, B are known and R is to be figured out. We introduce a methodology called the quaternion decomposition from rotation (QDR) to obtain a robust solution to this problem. The method is applicable to all those cases where A, B are noise-free, noisy, or even not rigid. The non-iterative framework of the eigen-decomposition of 4 x 4 matrices is derived to give very computationally efficient analytical quaternion result. By numerical examples and experimental robotic results, the effectiveness of the proposed method has been verified. The proposed solution is evaluated to own at least the same accuracy and robustness of currently hest algorithm, using real-world experiments for the camera/magnetometer sensor calibration on a quadrotor, while it takes much faster computation speed than all existing representatives to the best of our knowledge.

关键词： Sensor calibration eigenvalue problem robust solver quaternion estimation non-iterative algorithm

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ISAR imaging with random missing observations based on non-iterative signal reconstruction algorithm 12

ISAR imaging with random missing observations based on non-i...

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12th IEEE International Conference on Signal Processing (ICSP)

作者： Wang, Yong Kang, Jian Zhang, Runbin Harbin Inst Technol Res Inst Elect Engn Technol Harbin 150006 Peoples R China

ISBN: (纸本)9781479921867

Random missing observations in real-world inverse synthetic aperture radar (TSAR) imaging may appear due to the instability of the radar system. Under this circumstance, the signal of one range bin over the slow-time has limited samples. Using traditional range-Doppler algorithm, high-quality TSAR images for random missing observations cannot be obtained. Recently, a new non-iterative algorithm based on the combined robust statistics and compressive sensing (CS) theory has been proposed to efficiently recover a complete signal from a small random set of samples, showing robustness in the presence of noise [16]. It is also important to emphasize that non-iterative method is computationally simpler than the iterative signal reconstruction solutions, and thus more amenable to practical applications. Therefore, based on the non-iterative robust signal reconstruction method, a new algorithm for TSAR imaging with random missing observations is proposed in this paper. The efficiency of the proposed approach is demonstrated on the examples with simulated and real data.

关键词： Compressive sensing non-iterative algorithm Signal reconstruction Random observations ISAR imaging

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