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10th IEEE International Conference on Industrial Informatics (INDIN)

作者： Liu, Jingmeng Chen, Baicheng Liu, Min Xu, Dong Li, Yulong Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Beijing 100083 Peoples R China

ISBN: (纸本)9781467303118

I put forward a new interpolation called Adams-Bashforth interpolation of NURBS (Non-Uniform Rational B-Splines) curve in order to realize higher precision under the condition of satisfying the speed demand. IN this method, I calculated next parameter point by Adams-Bashforth equation and I used difference equation instead of derivation. I simplified and approximated the interpolation algorithm so that the speed and precision of interpolation could be ensured. Finally, we conducted simulations on this interpolation based on MATLAB and compared it with Taylor expansion algorithm so that we could prove its feasibility and correctness. We can conclude that it has a higher precision.

关键词： numerical control system NURBS curve Adams-Bashforth method interpolation algorithm

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Improved interpolation algorithm Accounting for Multiple Switching Actions and Reinitialization

Improved Interpolation Algorithm Accounting for Multiple Swi...

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2023 IEEE International Conference on Energy Technologies for Future Grids, ETFG 2023

作者： Yang, Cao Wei, Gu Mingwang, Xu Wei, Liu Fei, Zhang Southeast University School of Electrical Engineering Jiangsu Province Nanjing210096 China Nanjing University of Science and Technology School of Automation Jiangsu Province Nanjing210094 China

ISBN: (纸本)9781665471640

With the increasing penetration of new energy and power electronic equipment in the power grid, the operation of the power system is characterized by power electronics, which puts forward new requirements for the acceleration algorithm of electromagnetic transient simulation. This paper proposes an interpolation algorithm considering multiple switching actions and reinitialization, which has higher simulation accuracy at simulation steps of 10 µs or above. Firstly, the electromagnetic transient switch action positioning method is studied, and the algorithmic characteristics of the existing interpolation algorithm are analyzed. Secondly, to address the limitations of the existing interpolation algorithms, an interpolation algorithm that can take into account the simulation efficiency and accuracy is proposed. Furthermore, it is considered to improve the interpolation algorithm by using the reinitialization method to deal with the instant of the switch action, which can reduce the switching error and ensure the simulation accuracy at the instant of the switch action. Finally, a simulation example of the proposed interpolation algorithm is constructed, and the advantages of the proposed interpolation algorithm are verified by comparing with the simulation constructed in PSCAD/EMTDC. © 2023 IEEE.

关键词： electromagnetic transient simulation interpolation algorithm power electronic switch reinitialization

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DUAL QUATERNION CURVE interpolation algorithm FOR FORMATION SATELLITES

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Transactions of Nanjing University of Aeronautics and Astronautics 2012年第1期29卷 90-95页

作者：李静王惠南刘海颖南京航空航天大学自动化学院南京航空航天大学航天学院南京航空航天大学高新技术研究院

The traditional algorithms for formation flying satellites treat the satellite position and attitude sepa- rately. A novel algorithm combining satellite attitude with position is proposed. The principal satellite trajectory is obtained by dual quaternion interpolation, then the relative position and attitude of the deputy satellite are ob- tained by dual quaternion modeling on the principal satellite. Through above process, relative position and atti- tude are unified. Compared with the orbital parameter and the quaternion methods, the simulation result proves that the algorithm can unify position and attitude, and satisfy the precision requirement of formation flying satel- lites.

关键词： formation satellites dual quaternion interpolation algorithm relative position and attitude

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Video image scaling technology based on adaptive interpolation algorithm and TTS FPGA implementation

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COMPUTER STANDARDS & INTERFACES 2021年 76卷 103516-103516页

作者： Liu, Guangyu Zhou, Bao Huang, Yi Wang, Longfei Wang, Wei Zhao, Enming Dali Univ Sch Engn Dali 671003 Yunnan Peoples R China Harbin Engn Univ Coll Phys & Optoelect Engn Harbin 150001 Peoples R China

With the rapid development of digital multimedia terminals, the scaling of video images has solved the needs of high-end displays for low-resolution signals and high-definition signals displayed by low-end displays. The main purpose of this article is to convert the input video image signal into a video image signal with the required resolution through video image scaling. This article mainly studies various image scaling algorithms, analyzes their advantages and disadvantages, and adopts a top-down design method to implement FPGA video scaling design and verify the correctness of the results. This article introduces various traditional image interpolation algorithms. On the basis of comparing the subjective and objective quality of the image after the summation of various algorithms, the fuzzy interpolation algorithm is used to zoom the video image. In FPGA design, hori-zontal scaling and vertical scaling are handled separately, which reduces the computational complexity of image upgrades and facilitates control logic and specific implementation. The experimental results of this paper show that the maximum working frequency that the designed image scaling unit can reach is 153.12 MHz, which can process 1080p video signals in real time. Video image scaling technology has broad market prospects.

关键词： Video image Scaling technology FPGA technology interpolation algorithm Image acquisition

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Application of interpolation algorithm in plate structure detection based on Fiber Bragg grating sensing technology

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IEICE ELECTRONICS EXPRESS 2015年第8期12卷 20150271-20150271页

作者： Cai Li Tan Yuegang Li Tianliang Wuhan Univ Technol Sch Mech & Elect Engn Wuhan 430070 Hubei Peoples R China

Due to the speed development of the mechanical equipment, it is important to realize the nondestructive evaluation in time to guarantee the safe and reliable operation. Distributed vibration detection is a conventional approach, but it may suffer from the disadvantages that it is complex to arrange a large amount of measuring points. On the other hand, some optimization algorithms are effective for approximate solutions. Taking into these considerations, we proposes a corresponding damage identification method to realize the damage localization by Fiber Bragg grating sensing technology with interpolation algorithm, which can create a simple method to identify the damaged region for the plate structural. In this paper, vibration detection based on some FBG sensors is built up and the optimum parameters are given. On the basis of this, interpolation algorithm is applied into vibration test and the experimental results show that localization method by the interpolation analysis is feasible to damage detection and it has better detection effect for a thin steel plate.

关键词： interpolation algorithm FBG (Fiber Bragg grating) vibration technique distributed detection

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A Novel Trajectory interpolation algorithm for WEDM - Unit Generalized Arc Length Increment Method

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Procedia CIRP 2013年 6卷 255-260页

作者： W. Zhao M. Chen H. Chen State Key Laboratory of Mechanical System and Vibration Shanghai Jiao Tong University Shanghai 200240 China

This paper proposes a novel trajectory interpolation algorithm for WEDM, namely Unit Generalized Arc Length Increment Method (UGALIM). In this method, the generalized arc length is taken as a parameter; the coordinates such as X, Y, U and V are the functions of the generalized arc length. In each interpolation period, the generalized arc length increases with exact one Basic Length Unit (BLU), the corresponding incremental components along the X, Y, U and V axes are accumulated into their own accumulators. Once an overflow occurs in any of the first order accumulators of the X, Y, U or V axes, the corresponding axis will move 1 BLU as a step. The interpolation terminates while the interpolated generalized arc length reaches the predefined value. Numerical simulation and machining verification were carried out. A typical ruled surface with a circle in the upper plane and a square in the lower plane is machined with UGALIM. The result demonstrates the feasibility and advantages of this new interpolation method.

关键词： interpolation algorithm Unit generalized arc length increment method Wire electrical discharge machining Ruled surface

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Novel interpolation algorithm for machining NURBS surfaces

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Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao 2007年第2期28卷 131-139页

作者： Yeh, Syh-Shiuh Tu, Mao-Feng Huang, Hsuan-Kuan Department of Mechanical Engineering National Taipei University of Technology Taipei 106 Taiwan Mechanical and Systems Laboratories Industrial Technology Research Institute Hsinchu 310 Taiwan

This study aims to develop an algorithm for interpolating NURBS surfaces on machine tools with limited interpolation time. NURBS surfaces are usually applied to represent free-form surfaces because of the flexibility in modeling processes. However, the copious and complicated operations limit NURBS surfaces in machining applications. To interpolate NURBS surfaces in limited interpolation time, an interpolation algorithm with a new computation structure is developed in this paper. Comparing with the existing approaches, the proposed approach provides good interpolation results with little interpolation time for interpolating NURBS surfaces in actual machining processes.

关键词： interpolation algorithm interpolation time Interpolator NURBS surface Surface machining

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A novel on Newton-Rapson iterative interpolation algorithm for NURBS curve

A novel on Newton-Rapson iterative interpolation algorithm f...

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2016 2nd International Conference on Materials Engineering and Information Technology Applications(MEITA 2016)

作者： Wan-Jun Zhang Dong-mei Xu Xin-hong Meng Feng Zhang Quanzhou Institute of Information Engineering Lanzhou Industry and Equipment Co. Ltd. School of Mechanical Engineering Xian Jiao tong University

ISBN: (纸本)9781510837003

Linear or cicular interpolator are undersirable for high-speed,precision and advanced CNC machining tools of 2D or 3D surfaces for the following resons: interpolation time bigger,calculation more complicated,and curve chord are *** the papers,the Newton-Rapson iterative interpolation algorithm for NURBS curve is *** can use Newton-Rapson iterative that calculate( x,,)iy iz *** results show that the proposed NURBS curve interpolator meet the high-speed and high-accuracy interpolation requirements of CNC *** interpolation of NURBS curve should be *** simulation results show that the algorithm is correct;it is consistent with a NURBS curve interpolation requirements.

关键词： NURBS curve Newton-Rapson iterative interpolation algorithm

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Satellite Orbit interpolation algorithm Analysis for GNSS Terminals

Satellite Orbit Interpolation Algorithm Analysis for GNSS Te...

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第十一届中国卫星导航年会

作者： Yingchun Zheng Jianwei Zhang The 54th Research Institute of CETC State Key Laboratory of Satellite Navigation System and Equipment Technology

Using real-time broadcast ephemeris to calculate satellite orbit information and clock parameters is an important calculation work in GNSS terminal positioning solution. Considering the development tr

关键词： GNSS Terminals Orbit parameter interpolation algorithm Hermite

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A study of sub-pixel interpolation algorithm in digital speckle correlation method

A study of sub-pixel interpolation algorithm in digital spec...

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2008 International Conference on Optical Instruments and Technology

作者： LV Yong~(*a,b),FENG Qibo~a,QI Liangyu~b a School of Science,Beijing Jiaotong University,Beijing 100044,China b Dept,of Optical Information Science & Technology,Beijing Information Science & Technology University,Beijing 100192,China

Sub-pixel interpolation technique is a way that getting sub-pixel gray value by interpolation algorithm and then it is substituted into the correlation expression to calculate the sub-pixel *** is a key way to improve the displacement measurement accuracy in Digital Speckle Correlation Method(DSCM),meanwhile,it is more time consuming than other steps.A new quarter sub-pixel registration method is proposed which can significantly cut down the sub-pixel searching *** the premise of not reducing accuracy,an improved Taylor's series expansion in gradient algorithm is used to get higher registration *** the same time,a new cubic convolution interpolation method is proposed to get extremely high *** conclusions are proved by the results of the experimental system.

关键词： Displacement measurement Digital speckle correlation method(DSCM) Sub-pixel registration interpolation algorithm Cubic convolution algorithm Gradient algorithm

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