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Journal articles on the topic 'Parabolic interpolation algorithm'

Author: Grafiati

Published: 28 May 2022

Last updated: 29 May 2022

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1

Zhang, Zhi Qiang, Wen Jin Wang, Jing Zhang, et al. "The Research of NURBS Curve Interpolation Algorithm Based on Parabolic and the First-Order Taylor Expansion Interpolation Algorithm." Advanced Materials Research 1003 (July 2014): 260–63. http://dx.doi.org/10.4028/www.scientific.net/amr.1003.260.

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The NURBS curve interpolation algorithm based on parabolic interpolation error and the first-order Taylor expansion interpolation algorithm is proposed to improve part surface quality and chord error of NURBS curve interpolation algorithm. The part surface quality is improved effectively by the parabolic interpolation algorithm in the conduction that the previous point, the current point and the next point which was computed by the first order Taylor expansion interpolation algorithm were known. The effectiveness of this algorithm is proved by the NURBS curve interpolation simulation.

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2

Wei, Can Xin. "Numerical Analysis and Performance Test of Interactive Platform Based on Multi-Media Internet Architecture." Applied Mechanics and Materials 556-562 (May 2014): 5705–9. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.5705.

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Streaming media technology is also known as streaming media technology. Users can experience playing while downloading function, which improves the transmission speed of multimedia information on the internet. In this paper, we use streaming media technology, combined with the parabolic interpolation and Newton interpolation algorithm, design multimedia interactive platform of the college students' ideological and political education and comprehensive education. The overall structure of the platform is composed of multimedia, streaming media distribution equipment, school network, clients of t

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Xiao, Ben Xian, Yun Chao Tao, Xue Ping Dong, Mei Ling Zhao, and Jun Xiao. "Study on Interpolation Arithmetic of Tube Bender with Four-Axis CNC System for Spiral Fluorescent Lamp." Applied Mechanics and Materials 48-49 (February 2011): 1172–76. http://dx.doi.org/10.4028/www.scientific.net/amm.48-49.1172.

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Taking tube bender system for producing pagoda-shaped fluorescent tubes as an example in this paper, four coordinates movement equations of CNC system with Parabolic characteristic are derived and an algorithm for nonlinear interpolation of four-axis linkage based on target point tracking algorithm is presented for the spiral fluorescent tube bending machine with CNC system by means of deep analysis of the pulse interval interpolation algorithm. By using this algorithm, coordinated control of four coordinates in tube bender system can be realized and, in addition, software programming procedur

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4

Lu, Zuliang, Fei Cai, Ruixiang Xu, Chunjuan Hou, Xiankui Wu, and Yin Yang. "A posteriori error estimates of hp spectral element method for parabolic optimal control problems." AIMS Mathematics 7, no. 4 (2022): 5220–40. http://dx.doi.org/10.3934/math.2022291.

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<abstract><p>In this paper, we investigate the spectral element approximation for the optimal control problem of parabolic equation, and present a hp spectral element approximation scheme for the parabolic optimal control problem. For improve the accuracy of the algorithm and construct an adaptive finite element approximation. Under the Scott-Zhang type quasi-interpolation operator, a $ L^2(H^1)-L^2(L^2) $ posteriori error estimates of the hp spectral element approximated solutions for both the state variables and the control variable are obtained. Adopting two auxiliary equations

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Shen, Ting Ting, Lei Zhu, Lin Kong, Lan Qiang Zhang, and Chang Hui Rao. "Real-Time Image Shift Detection with Cross Correlation Coefficient Algorithm for Correlating Shack-Hartmann Wavefront Sensors Based on FPGA and DSP." Applied Mechanics and Materials 742 (March 2015): 303–11. http://dx.doi.org/10.4028/www.scientific.net/amm.742.303.

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Working on low-contrast, extended, time-varying objects such as the solar granulation, solar adaptive optics (AO) system uses correlation algorithms to detect image shift of the Shack-Hartmann (SH) wavefront sensor (WFS) instead of centroid algorithm in night-time adaptive optics system. An real-time image shift detection processor, which consists of a Xilinx FPGA and a TI DSP, has been developed for a low-order solar AO system based on cross correlation coefficient algorithm. Image shift of integer pixels can be calculated in the FPGA and DSP is responsible for parabolic interpolation to obta

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Kumar, Pravesh, Sushil Kumar, Millie Pant, and V. P. Singh. "Interpolation Based Mutation Variants of Differential Evolution." International Journal of Applied Evolutionary Computation 3, no. 4 (2012): 34–50. http://dx.doi.org/10.4018/jaec.2012100103.

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Differential evolution algorithm (DE) is an efficient and versatile population-based search technique for global optimization. In this paper, two novel mutation variants for DE are presented. These mutation variants are based on interpolation rules; first variant is based on Inverse Quadratic Interpolation called IQI-DE and the second variant is based on sequential parabolic interpolation called SPI-DE. Both variants aim at efficiently generating the base vector in the mutation phase of DE. The performance of proposed variants is implemented on 12 benchmark problems and compares with basic DE

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Chen, Chuanmiao, Xiangqi Wang, and Hongling Hu. "A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients." Advances in Applied Mathematics and Mechanics 9, no. 2 (2017): 501–14. http://dx.doi.org/10.4208/aamm.2015.m1281.

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AbstractA high-efficient algorithm to solve Crank-Nicolson scheme for variable coefficient parabolic problems is studied in this paper, which consists of the Function Time-Extrapolation Algorithm (FTEA) and Matrix Time-Extrapolation Algorithm (MTEA). First, FTEA takes a linear combination of previous l level solutions as good initial value of Un(see Time-extrapolation algorithm (TEA) for linear parabolic problems, J. Comput. Math., 32(2) (2014), pp. 183–194), so that Conjugate Gradient (CG)-iteration counts decrease to 1/3~1/4 of direct CG. Second, MTEA uses a linear combination of exact matri

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8

Nguyen, Thanh-Tuan, Ching-Hwa Cheng, Don-Gey Liu, and Minh-Hai Le. "A Fast Cross-Correlation Combined with Interpolation Algorithms for the LiDAR Working in the High Background Noise." Electronics 11, no. 7 (2022): 985. http://dx.doi.org/10.3390/electronics11070985.

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Processing speed and accuracy of measurements are important factors reflecting the performance quality of light detection and ranging (LiDAR) systems. This study proposed a fast cross-correlation (fCC) algorithm to improve the computation loading in the LiDAR system operating in high background noise environments. To reduce the calculation time, we accumulated cycles of the receiver waveform to increase the signal-to-noise ratio. In this way, the stop pulse can be easily distinguished from the background noise by applying the cross-correlation (CC) on the accumulated receiver waveform with the

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9

Ding, Zhangliang, Jianrong Zhu, Bingrui Chen, and Daoyang Bao. "A Two-Way Nesting Unstructured Quadrilateral Grid, Finite-Differencing, Estuarine and Coastal Ocean Model with High-Order Interpolation Schemes." Journal of Marine Science and Engineering 9, no. 3 (2021): 335. http://dx.doi.org/10.3390/jmse9030335.

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The balance between the need of improving horizontal resolution in simulating local small-scale ocean processes and computational costs makes it desirable to refine model mesh locally. A three-dimensional, two-way nesting unstructured quadrilateral grid, primitive equations, finite-differencing, estuarine and coastal ocean model is developed for multi-scale modeling. Because the model grid is capable of multi-area nesting and multi-level refinement at each subdomain, the model is highly compatible with simulations involved in complex topography and studies of local small-scale ocean processes.

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10

Ghasemi, M. "An Efficient Algorithm Based on Extrapolation for the Solution of Nonlinear Parabolic Equations." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 1 (2018): 37–51. http://dx.doi.org/10.1515/ijnsns-2017-0060.

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AbstractTwo numerical procedures are developed to approximate the solution of one-dimensional parabolic equations using extrapolated collocation method. By defining two different end conditions and forcing cubic spline to satisfy the interpolation conditions along with one of the end conditions, we obtain fourth- (CBS4) and sixth-order (CBS6) approximations to the solution in spatial direction. Also in time direction, a weighted finite-difference discretization is used to approximate the solution at each time level. The convergence analysis of the methods is discussed in detail and some error

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Ghasemi, M. "An Efficient Algorithm Based on Extrapolation for the Solution of Nonlinear Parabolic Equations." International Journal of Nonlinear Sciences and Numerical Simulation 20, no. 5 (2019): 527–41. http://dx.doi.org/10.1515/ijnsns-2017-0227.

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AbstractTwo numerical procedures are developed to approximate the solution of one-dimensional parabolic equations using extrapolated collocation method. By defining two different end conditions and forcing cubic spline to satisfy the interpolation conditions along with one of the end conditions, we obtain fourth- (CBS4) and sixth-order (CBS6) approximations to the solution in spatial direction. Also in time direction, a weighted finite difference discretization is used to approximate the solution at each time level. The convergence analysis is discussed in detail and some error bounds are obta

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12

Liu, Xiaowei, Guangliang Ren, Xiaoman Yin, Bo Zhang, and Yu Wang. "A Polynomial Inversion-Based Fast Time-Delay Estimation Method for Wideband Large-Scale Antenna Systems." Applied Sciences 12, no. 7 (2022): 3378. http://dx.doi.org/10.3390/app12073378.

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This paper proposes a new fast time-delay estimation (TDE) method based on polynomial inversion which addresses the challenges arising from the requirements for high-precision, low-computational-complexity synchronization error estimation in wideband large-scale antenna systems (LSASs). In this work, we use the convex parabolic extreme point equation as the timing error detector (TED), and develop a polynomial inversion-based function to characterize the one-to-one mapping relationship between true time delay (TTD) and TED estimates using the least square (LS) method, then obtain the time-dela

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13

Guo, Li Jie. "Nonlinear Analysis of Mixed Signal Test Based on Graphic Program Design." Applied Mechanics and Materials 539 (July 2014): 489–92. http://dx.doi.org/10.4028/www.scientific.net/amm.539.489.

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In this paper, based on the parabolic interpolation function of nonlinear Lagrange, we establish the mathematical model of business translation graphical teaching method. In order to verify the availability and reliability of the model and algorithm, we test the performance of graphic business English translation platform. After testing the mixed signal of platform, the current with fault is lower than circuit without fault. The peak voltage of triangular wave is about-6V and 6V. According to the response curves of English translation circuit, different sequencers realize the parallel translat

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14

Trad, Daniel. "Interpolation and multiple attenuation with migration operators." GEOPHYSICS 68, no. 6 (2003): 2043–54. http://dx.doi.org/10.1190/1.1635058.

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A hyperbolic Radon transform (RT) can be applied with success to attenuate or interpolate hyperbolic events in seismic data. However, this method fails when the hyperbolic events have apexes located at nonzero offset positions. A different RT operator is required for these cases, an operator that scans for hyperbolas with apexes centered at any offset. This procedure defines an extension of the standard hyperbolic RT with hyperbolic basis functions located at every point of the data gather. The mathematical description of such an operator is basically similar to a kinematic poststack time‐migr

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15

Gavrilyuk, Ivan, and Boris N. Khoromskij. "Quasi-Optimal Rank-Structured Approximation to Multidimensional Parabolic Problems by Cayley Transform and Chebyshev Interpolation." Computational Methods in Applied Mathematics 19, no. 1 (2019): 55–71. http://dx.doi.org/10.1515/cmam-2018-0021.

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AbstractIn the present paper we propose and analyze a class of tensor approaches for the efficient numerical solution of a first order differential equation {\psi^{\prime}(t)+A\psi=f(t)} with an unbounded operator coefficient A. These techniques are based on a Laguerre polynomial expansions with coefficients which are powers of the Cayley transform of the operator A. The Cayley transform under consideration is a useful tool to arrive at the following aims: (1) to separate time and spatial variables, (2) to switch from the continuous “time variable” to “the discrete time variable” and from the

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16

Henry Juang, Hann-Ming, and Song-You Hong. "Forward Semi-Lagrangian Advection with Mass Conservation and Positive Definiteness for Falling Hydrometeors." Monthly Weather Review 138, no. 5 (2010): 1778–91. http://dx.doi.org/10.1175/2009mwr3109.1.

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Abstract A semi-Lagrangian advection scheme is developed for falling hydrometeors in hopes of replacing the conventional Eulerian scheme that has been widely used in the cloud microphysics scheme of numerical atmospheric models. This semi-Lagrangian scheme uses a forward advection method to determine the advection path with or without iteration, and advected mass in a two-time-level algorithm with mass conservation. Monotonicity is considered in mass-conserving interpolation between Lagrangian grids and model Eulerian grids, thus making it a positive definite advection scheme. For mass-conserv

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17

FATEMI, MOHAMMAD REZA HOSSEINY, HASAN F. ATES, and ROSLI SALLEH. "FAST ALGORITHM ANALYSIS AND BIT-SERIAL ARCHITECTURE DESIGN FOR SUB-PIXEL MOTION ESTIMATION IN H.264." Journal of Circuits, Systems and Computers 19, no. 08 (2010): 1665–87. http://dx.doi.org/10.1142/s0218126610006980.

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The sub-pixel motion estimation (SME), together with the interpolation of reference frames, is a computationally extensive part of the H.264 encoder that increases the memory requirement 16-times for each reference frame. Due to the huge computational complexity and memory requirement of the H.264 SME, its hardware architecture design is an important issue especially in high resolution or low power applications. To solve the above difficulties, we propose several optimization techniques in both algorithm and architecture levels. In the algorithm level, we propose a parabolic based algorithm fo

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18

Nguyen, Thanh-Tuan, Ching-Hwa Cheng, Don-Gey Liu, and Minh-Hai Le. "Improvement of Accuracy and Precision of the LiDAR System Working in High Background Light Conditions." Electronics 11, no. 1 (2021): 45. http://dx.doi.org/10.3390/electronics11010045.

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Background light noise is one of the major challenges in the design of Light Detection and Ranging (LiDAR) systems. In this paper, we build a single-beam LiDAR module to investigate the effect of light intensity on the accuracy/precision and success rate of measurements in environments with strong background noises. The proposed LiDAR system includes the laser signal emitter and receiver system, the signal processing embedded platform, and the computer for remote control. In this study, two well-known time-of-flight (ToF) estimation methods, which are peak detection and cross-correlation (CC),

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19

Marescot, Laurent, Sérgio Palma Lopes, Stéphane Rigobert, and Alan G. Green. "Nonlinear inversion of geoelectric data acquired across 3D objects using a finite-element approach." GEOPHYSICS 73, no. 3 (2008): F121—F133. http://dx.doi.org/10.1190/1.2903836.

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We introduce a new finite-element-based scheme for the fast nonlinear inversion of large 3D geoelectric data sets acquired around isolated objects or across the earth’s surface. The principal novelty of this scheme is the combination of a versatile finite-element approach with (1) a method involving minimization of an objective function using a conjugate-gradient algorithm that includes an adjoint-field technique for efficiently establishing the objective-function gradient and (2) parabolic interpolation for estimating suitable inversion step lengths. This scheme is capable of handling large v

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20

Qi, Wei, Qing Chang, Lv Qian Zhang, and Yuan Yu. "An Improved Re-Sampling Interpolation Algorithm for Base-Band Signal Shaping Filtering." Applied Mechanics and Materials 195-196 (August 2012): 205–11. http://dx.doi.org/10.4028/www.scientific.net/amm.195-196.205.

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Research on shaping filtering algorithms in wireless communication systems has important practical value. Based on the digital base-band shaping filter, which is widely used in the area of software radio, an improved re-sampling filtering algorithm is proposed in this paper. By the design of truncated raise cosine filter, the continuous sequence of digital spread-spectrum signal can be restored. The piecewise parabola interpolation filter is established to carry out the signal re-sample, and the Farrow implementation structure is adopted to reduce the calculation cost. The algorithm is validat

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21

Reali, Pierluigi, Riccardo Lolatto, Stefania Coelli, Gabriella Tartaglia, and Anna Maria Bianchi. "Information Retrieval from Photoplethysmographic Sensors: A Comprehensive Comparison of Practical Interpolation and Breath-Extraction Techniques at Different Sampling Rates." Sensors 22, no. 4 (2022): 1428. http://dx.doi.org/10.3390/s22041428.

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The increasingly widespread diffusion of wearable devices makes possible the continuous monitoring of vital signs, such as heart rate (HR), heart rate variability (HRV), and breath signal. However, these devices usually do not record the “gold-standard” signals, namely the electrocardiography (ECG) and respiratory activity, but a single photoplethysmographic (PPG) signal, which can be exploited to estimate HR and respiratory activity. In addition, these devices employ low sampling rates to limit power consumption. Hence, proper methods should be adopted to compensate for the resulting increase

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22

Gdanskiy, N. I., A. V. Karpov, and A. A. Bugaenko. "The direct method and algorithm of construction of splines of the third order in the control problems of drives performance movement." Izvestiya MGTU MAMI 7, no. 1-4 (2013): 51–57. http://dx.doi.org/10.17816/2074-0530-67777.

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When using predictions in the controling of the rotational motion arises the need to build a double-smooth trajectory passing through its previously measured key points. As piecewise polynomial curve, providing the desired smoothness, there is considered the interpolation by cubic splines that in the intervals between the nodes are actually the cubic parabola, continuously connecting the nodes with the degree of smoothness. When imposing additional boundary conditions, data splines minimize its total curvature.

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23

Li, Dong, Xiao Li Wang, Si Mon Chi, Chang Rui Zhao, and Bin Yang. "A Clock Optimization Method in the Digital Zooming of the Image Signal Processing System." Advanced Materials Research 981 (July 2014): 315–18. http://dx.doi.org/10.4028/www.scientific.net/amr.981.315.

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We address the problem of producing an enlarged picture from a given digital image (zooming). We propose a method that tries to take into account the difficulty to apply the very fast clock in the digital zooming unit of an ISP system. The ISP system hardware is realized in the FPGA and the zooming algorithm is parabola interpolation architecture. This paper presents an optimization method by using a synchronization FIFO to greatly reduce the clock frequency of the digital zooming unit, and by this the power consumption is also decreased significantly.

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24

Chekalin, A. A., M. K. Reshetnikov, V. V. Shpilev, S. V. Borodulina, and S. A. Ryazanov. "MODELING ARCHITECTURAL FORM SURFACE DEPENDENT SECTIONS." Construction and industrial safety, no. 20(72) (2021): 53–58. http://dx.doi.org/10.37279/2413-1873-2021-20-53-58.

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For the design of surfaces in architecture, as a rule, universal techniques developed for other technical industries are used. First of all, these are general kinematic surfaces and interpolation cubic splines for modeling complex piecewise smooth surfaces. The authors propose to use the fourth degree inerodifferential spline developed by them for problems of geometric modeling of architectural forms. For calculations and constructions on a computer, the proposed spline is not much more complicated than traditional cubic splines, since it has one additional parameter - a coefficient. However,

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25

"Two Heuristic PID Tuning for a 4-DOF Robot Arm Control." International Journal of Recent Technology and Engineering 8, no. 4 (2019): 9945–50. http://dx.doi.org/10.35940/ijrte.d5205.118419.

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This paper discusses the development of closed-loop position control for the joint motor of a 4-DOF robot arm. In developing a practical robot, types of input and control algorithm are important elements in the control system. The objectives of this paper are to select an input type that could produce smooth arm’s motion and to apply PID control for the joints. Step and parabolic inputs have been tested as reference trajectory where the former used step signal as the constant value of motor angle while the latter requires calculation using spline interpolation method based on initial and end p

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26

Rattanadecho, P., and S. Wongwises. "Moving Boundary-Moving Mesh Analysis of Freezing Process in Water-Saturated Porous Media Using a Combined Transfinite Interpolation and PDE Mapping Methods." Journal of Heat Transfer 130, no. 1 (2008). http://dx.doi.org/10.1115/1.2780177.

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This paper couples the grid generation algorithm with the heat transport equations and applies them to simulate the thermal behavior of freezing process in water-saturated porous media. Focus is placed on establishing a computationally efficient approach for solving moving boundary heat transfer problem, in two-dimensional structured grids, with specific application to an undirectional solidification problem. Preliminary grids are first generated by an algebraic method, based on a transfinite interpolation method, with subsequent refinement using a partial differential equation (PDE) mapping (

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