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Journal articles on the topic 'Interpolation transition'

Author: Grafiati

Published: 25 May 2024

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1

Liu, Chao, and Hui Wang. "A real-time predictor-modification-evaluation–corrector-modification-evaluation parametric interpolator for numerical control transition curves." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 234, no. 1-2 (2019): 95–107. http://dx.doi.org/10.1177/0954405419856951.

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A real-time parametric interpolator based on a predictor-modification-evaluation–corrector-modification-evaluation algorithm is proposed in this article, which is utilized to efficiently calculate the reference points of transition curves. Meanwhile, the stable calculation is guaranteed by analyzing the convergence condition of the predictor-modification-evaluation–corrector-modification-evaluation algorithm. Under the convergence condition, the proposed parametric interpolator and traditional line interpolators are simultaneously implemented to interpolate a two-dimensional butterfly path, wh

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2

Lee, Byung Ho, Soon Woo Park, Soojin Jo, and Moon Ki Kim. "Protein conformational transitions explored by a morphing approach based on normal mode analysis in internal coordinates." PLOS ONE 16, no. 11 (2021): e0258818. http://dx.doi.org/10.1371/journal.pone.0258818.

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Large-scale conformational changes are essential for proteins to function properly. Given that these transition events rarely occur, however, it is challenging to comprehend their underlying mechanisms through experimental and theoretical approaches. In this study, we propose a new computational methodology called internal coordinate normal mode-guided elastic network interpolation (ICONGENI) to predict conformational transition pathways in proteins. Its basic approach is to sample intermediate conformations by interpolating the interatomic distance between two end-point conformations with the

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3

Luo, Jun, and Ying Chen. "Colour Restoration of Image Obtained from CCD Sensor Directly." Cybernetics and Information Technologies 14, no. 2 (2014): 81–91. http://dx.doi.org/10.2478/cait-2014-0021.

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Abstract The original image data obtained from Charge-coupled Device (CCD) can be called original data, which is lack of color information. In order to restore the color of original image, firstly, we design a Bayer color filter array, and then we use bilinear interpolation algorithm and smooth hue transition interpolation algorithm to restore the color of original image. However, the hues of adjacent pixels change abruptly by the bilinear interpolation, therefore, we use smooth hue transition interpolation to enhance the edge of original image, and finally we identify the ultimate performance

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4

Zemlyakova, Irina A. "Interpolation of an Incomplete Market by a Complete One for a Trinomial Model in the Quantile Hedging Problem." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 4-1 (216-1) (December 28, 2022): 21–28. http://dx.doi.org/10.18522/1026-2237-2022-4-1-21-28.

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The transition from an incomplete market to a complete market is considered using Haar interpolating filtering. With Haar interpolation, in the case of a transition from the current level of the tree to the next, only one atom is split into two parts, while the remaining atoms do not change. In the course of this interpolation, a complete market arises, for which the martingale measure is already unique. The question arises related to the choice of a single martingale measure for the resulting complete market. As this measure, one of the extreme martingale measures is chosen, the distance from

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Earshia V., Diana, and Sumathi M. "Interpolation of Low-Resolution Images for Improved Accuracy Using an ANN Quadratic Interpolator." International Journal on Recent and Innovation Trends in Computing and Communication 11, no. 4s (2023): 135–40. http://dx.doi.org/10.17762/ijritcc.v11i4s.6319.

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The era of digital imaging has transitioned into a new one. Conversion to real-time, high-resolution images is considered vital. Interpolation is employed in order to increase the number of pixels per image, thereby enhancing spatial resolution. Interpolation's real advantage is that it can be deployed on user end devices. Despite raising the number of pixels per inch to enhances the spatial resolution, it may not improve the image's clarity, hence diminishing its quality. This strategy is designed to increase image quality by enhancing image sharpness and spatial resolution simultaneously. Pr

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Imanian, Hanifeh, Hamidreza Shirkhani, Abdolmajid Mohammadian, Juan Hiedra Hiedra Cobo, and Pierre Payeur. "Spatial Interpolation of Soil Temperature and Water Content in the Land-Water Interface Using Artificial Intelligence." Water 15, no. 3 (2023): 473. http://dx.doi.org/10.3390/w15030473.

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The distributed measured data in large regions and remote locations, along with a need to estimate climatic data for point sites where no data have been recorded, has encouraged the implementation of spatial interpolation techniques. Recently, the increasing use of artificial intelligence has become a promising alternative to conventional deterministic algorithms for spatial interpolation. The present study aims to evaluate some machine learning-based algorithms against conventional strategies for interpolating soil temperature data from a region in southeast Canada with an area of 1000 km by

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7

Liu, Xiao-Ming, Jun Jiang, Ling Hong, Zigang Li, and Dafeng Tang. "Fuzzy Noise-Induced Codimension-Two Bifurcations Captured by Fuzzy Generalized Cell Mapping with Adaptive Interpolation." International Journal of Bifurcation and Chaos 29, no. 11 (2019): 1950151. http://dx.doi.org/10.1142/s0218127419501517.

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In this paper, the Fuzzy Generalized Cell Mapping (FGCM) method is developed with the help of the Adaptive Interpolation (AI) in the space of fuzzy parameters. The adaptive interpolation on the set-valued fuzzy parameter is introduced in computing the one-step transition membership matrix to enhance the efficiency of the FGCM. For each of initial points in the state space, a coarse database is constructed at first, and then interpolation nodes are inserted into the database iteratively each time errors are examined with the explicit formula of interpolation error until the maximal errors are j

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8

Fudge, T. J., E. D. Waddington, H. Conway, J. M. D. Lundin, and K. Taylor. "Interpolation methods for Antarctic ice-core timescales: application to Byrd, Siple Dome and Law Dome ice cores." Climate of the Past 10, no. 3 (2014): 1195–209. http://dx.doi.org/10.5194/cp-10-1195-2014.

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Abstract. Antarctic ice cores have often been dated by matching distinctive features of atmospheric methane to those detected in annually dated ice cores from Greenland. Establishing the timescale between these tie-point ages requires interpolation. While the uncertainty at tie points is relatively well described, uncertainty of the interpolation is not. Here we assess the accuracy of three interpolation schemes using data from the WAIS Divide ice core in West Antarctica; we compare the interpolation methods with the annually resolved timescale for the past 30 kyr. Linear interpolation yields

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9

Liu, Xiao-Ming, Jun Jiang, Ling Hong, and Dafeng Tang. "Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation." International Journal of Bifurcation and Chaos 28, no. 02 (2018): 1830003. http://dx.doi.org/10.1142/s0218127418300033.

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In this paper, a new method of Generalized Cell Mapping with Sampling-Adaptive Interpolation (GCMSAI) is presented in order to enhance the efficiency of the computation of one-step probability transition matrix of the Generalized Cell Mapping method (GCM). Integrations with one mapping step are replaced by sampling-adaptive interpolations of third order. An explicit formula of interpolation error is derived for a sampling-adaptive control to switch on integrations for the accuracy of computations with GCMSAI. By applying the proposed method to a two-dimensional forced damped pendulum system, g

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10

Huang, Jian, Ai Ping Song, Jian Ming Tao, and Dan Ping Yi. "Method of Corner Smooth Transition Based on Interpolation Spline." Advanced Materials Research 655-657 (January 2013): 1260–66. http://dx.doi.org/10.4028/www.scientific.net/amr.655-657.1260.

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Adjustable form cubic interpolation spline curve, changing its form adjustment coefficient can adjust the curvature radius and shape. Using this spline curve can realize the high-speed smooth connecting between adjacent processing trajectory during NC movement. To internal outline corner transition, use cambered spline transfer curve; To external outline corner transition, can use cambered or toroidal spline transfer curve. During the corner transition process, keep the speed constant, adjust the curvature the curvature radius to control the value of acceleration. Corner smooth transition base

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11

Ashraf, G., and K. C. Wong. "Generating Consistent Motion Transition via Decoupled Framespace Interpolation." Computer Graphics Forum 19, no. 3 (2000): 447–56. http://dx.doi.org/10.1111/1467-8659.00437.

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12

Guo, Yuanjie, Jihong Yan, and Xingbo Wang. "Toolpath Smoothing Based on Controlled NURBS Interpolation." Journal of Engineering Research and Reports 25, no. 12 (2023): 60–75. http://dx.doi.org/10.9734/jerr/2023/v25i121041.

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Based on cubic non-uniform B-spline curve constrained with tolerance band, a tool path smoothing approach is proposed for the purpose to achieve high-speed and high-precision machining of consecutive short line segments. According to a given tolerance band, the approach calculates the control polygon of the non-uniform cubic B-spline curve to transition the corners of the short line segments and obtains a GC2 continuous smooth transition for the tool path near the corners. The paper also designs an algorithm to realize the transition procedure. Compared with the reported similar approaches, th

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13

Qin, Chengjin, Jianfeng Tao, and Chengliang Liu. "A novel stability prediction method for milling operations using the holistic-interpolation scheme." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 13 (2019): 4463–75. http://dx.doi.org/10.1177/0954406218815716.

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Currently, accurate and efficient determination of chatter-free cutting conditions is becoming increasingly important. This paper proposes a semi-analytical stability prediction method for milling processes using the holistic-interpolation scheme. The dynamics considering regeneration effect for milling operations is formulated as delay differential equations with time-periodic coefficients. The period of milling dynamic system is divided into two time periods according to the value of the coefficient matrix. On each small time interval for the forced vibration time period, the holistic-interp

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Chomputawat, Anuthep, and Watchara Chatwiriya. "Comparative Efficiency Analysis of Data Fusion Methods for Vehicle Trajectory Reconstruction." Applied Mechanics and Materials 886 (January 2019): 182–87. http://dx.doi.org/10.4028/www.scientific.net/amm.886.182.

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This article compares the efficiency of vehicle trajectory analysis methods based on data fusion from multiple cameras, monitoring the same area from different views under the condition having detection errors, which causes incorrectly localized and, in some cases, undetected vehicle during the movement. The experiment used the simulation of detection and localization of vehicle moving in straight, curved, zigzag and arbitrary trajectories, with localization errors and multi-level loss of data. By comparing Kalman-filter-based method and Linear-interpolation-based method for analyzing and reco

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15

Huang, Zhui Liang, Shu Wen Lin, and Dao Ying Jiang. "High-Precision Positioning and Speed Smooth Transition Control Algorithm for Terminal Point of Micro-Line Segment." Advanced Materials Research 305 (July 2011): 19–24. http://dx.doi.org/10.4028/www.scientific.net/amr.305.19.

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In allusion to the problem of data sampling interpolation error which exists in continuous micro-line segments interpolation algorithm with acceleration /deceleration control, this paper proposes a high-precision positioning and speed smooth transition control algorithm for terminal point of micro-line segment. The linear acceleration/deceleration mode was taken as an example to derive a motion control algorithm, which can eliminate the rounding error of the interpolation with fine adjusting the reserved parameters of acceleration /deceleration process when micro-line segment starting point an

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Shi, Jing, Qing Zhen Bi, Yu Han Wang, and Gang Liu. "Development of Real-Time Look-Ahead Methodology Based on Quintic PH Curve with G² Continuity for High-Speed Machining." Applied Mechanics and Materials 464 (November 2013): 258–64. http://dx.doi.org/10.4028/www.scientific.net/amm.464.258.

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Curving tool paths composed of straight lines, which are often represented as G01 blocks, are still the most widespread format form in the machining process chain of CAD/CAM/CNC. At the junctions between consecutive segments, the tangency and curvature discontinuities may lead to feedrate fluctuation and acceleration oscillation, which would deteriorate the machining efficiency and quality. In this paper, a real-time look-ahead interpolation methodology is proposed, which adopts a curvature-continuous PH curve as a transition to blend corner at the junction of adjacent lines in the tool path.

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Zhang, Lei, and Jinhai Zhang. "Local wavefield refinement using Fourier interpolation and boundary extrapolation for finite-element method based on domain reduction method." GEOPHYSICS 87, no. 3 (2022): T251—T263. http://dx.doi.org/10.1190/geo2021-0503.1.

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The domain reduction method based on the finite-element method (FEM) is promising for multiscale seismic wave simulations for local complex structures and rough topography. However, a transition region is required to refine the wavefields from coarse to fine grids, which may lead to strong artifacts. Traditional wavefield interpolation methods can only handle a small upsampling ratio due to their low accuracy. Here, we propose a high accuracy upsampling method using Fourier interpolation and boundary extrapolation. It requires that the wavefield in the transition region is evenly sampled, whic

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18

Du, Jinfeng, Liqiang Zhang, and Tian Gao. "Acceleration smoothing algorithm for global motion in high-speed machining." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 233, no. 8 (2018): 1844–58. http://dx.doi.org/10.1177/0954405418798870.

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When machining a series of short linear segments, the computer numerical control system interpolates the machining path with the pre-specified spline curve to obtain continuous feed motion. However, to obtain adequate smooth tool-paths to smooth the feed velocity and acceleration, the computer-aided manufacturing system needs to use a higher order spline curve, which will be limited by some technical bottlenecks. In this article, a new real-time interpolation algorithm is proposed from the perspective of kinematics to achieve uninterrupted feed motion throughout the global tool-path. At the sa

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19

Song, Ai Ping, Jian Huang, Jian Ming Tao, and Dan Ping Yi. "Describing NC Smooth Path Based on the Adjustable Form of the Cubic Spline Interpolation Function." Applied Mechanics and Materials 215-216 (November 2012): 1158–64. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1158.

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In order to describe the NC processing path better, and easy to realize path in a smooth transition of inflection point, this paper puts forward a kind of adjustable form of the cubic spline interpolation function; using the function can describe line, arc and freecurve, and realize smooth transition of inflection point through the control points which near the inflexion point. The spline function is of cubic polynomial, which calculation is simple, and it is easy to realize the operation of fast interpolation; it not only can describe various of NC paths, but also can be easy to realize the h

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20

Savinykh, I. S., and D. A. Chemasov. "Computing efficiency of the three-stage interpolated low pass filters." Radio industry 28, no. 4 (2018): 21–27. http://dx.doi.org/10.21778/2413-9599-2018-28-4-21-27.

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Undoubted advantages of finite impulse response filters are their unconditional stability, the absence of limit cycles and the possibility of implementing a filter that does not introduce phase distortion. The disadvantage of such filters is the large cost required to compute the response. This paper considers three-stage interpolated finite impulse response low-pass filters. The maximum values of the interpolation factors are determined. Dependences of the coefficient of computational efficiency and the coefficient of increase in the registers of the three-stage interpolated low-pass filter o

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21

Ratsamee, Photchara, Pudit Tempattarachoke, Laphonchai Jirachuphun, Masafumi Miwa, and Komsoon Somprasong. "Point Cloud Estimation During Aerial-Aquatic Transition in Monocular Camera-Based Localization and Mapping." Journal of Robotics and Mechatronics 35, no. 6 (2023): 1645–54. http://dx.doi.org/10.20965/jrm.2023.p1645.

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This paper presents a multi-box interpolation method to estimate point clouds during aerial-aquatic transition. Our proposed method is developed based on an investigation of noise characteristics of aerial point clouds and aquatic point clouds. To evaluate the performance of realistic point cloud estimation, we compare the interpolation method with the Gaussian mixture method. We also investigate how single-box and multi-box approaches deal with noise in point cloud estimation. The simulation and the experimental results show that the estimated point cloud is accurate even when the aerial and

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22

Ahmad, Azhar. "Pembinaan lengkungan peralihan berbentuk C yang memuaskan Data Interpolasi Hermite G2." Journal of Science and Mathematics Letters 8, no. 2 (2020): 39–50. http://dx.doi.org/10.37134/jsml.vol8.2.6.2020.

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Makalah ini membincangkan satu kaedah pembinaan lengkungan peralihan berbentuk C yang memenuhi syarat-syarat data interpolasi Hermite Lengkungan peralihan ini dibina berasaskan gabungan dua pilin kuadratik nisbah Bezier atau gabungan bersama satu segmen garis lurus bagi mencapai keselanjaran pada keseluruhan binaan. Kaedah analisis geometri bersama syarat kemonotonan suatu lengkungan kuadratik nisbah Bezier telah digunakan bagi mencapai objektif kajian. Hasil kajian yang dicapai adalah satu teknik pembinaan yang membolehkan kita memperolehi lengkungan peralihan secara terus, mudah diaplikasika

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23

Zhao, Peng, FeiYang Gao, Kai Guo, EnYuan Zhang, and Song Li. "Trajectory optimization of B-splines interpolation based on dynamic error adjustment." Journal of Physics: Conference Series 2760, no. 1 (2024): 012038. http://dx.doi.org/10.1088/1742-6596/2760/1/012038.

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Abstract In this paper, we propose a motion planning algorithm based on the five-fold B-spline curve for multi-axis motion control systems with non-smooth trajectories, acceleration, plus acceleration over the limit, etc. We construct a smooth transition model for the micro-line segment G3 of the continuous five-fold B-spline curve. A derivation of the corresponding theoretical equation is given. Using the transition model, we propose an optimization method for dynamic adjustment of motion trajectory errors based on the velocity forward planning constraints by smoothing the transition after th

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24

Wang, Geng Zhu. "The Real-Time Look-Ahead NURBS Curve Interpolation Algorithm." Advanced Engineering Forum 2-3 (December 2011): 523–26. http://dx.doi.org/10.4028/www.scientific.net/aef.2-3.523.

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To ensure a given chord error, through the division of the cusp, the NURBS (Non-Uniform Rational B-Splins) curve is divided into several sections and the speed of the various sections is planned accordingly. The acceleration and deceleration time period is recalculated, which results in a smooth speed transition curve.

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Fudge, T. J., E. D. Waddington, H. Conway, J. M. D. Lundin, and K. Taylor. "Interpolation methods for Antarctic ice-core timescales: application to Byrd, Siple Dome and Law Dome ice cores." Climate of the Past Discussions 10, no. 1 (2014): 65–104. http://dx.doi.org/10.5194/cpd-10-65-2014.

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Abstract. Antarctic ice cores have often been dated by matching distinctive features of atmospheric methane to those detected in annually dated ice cores from Greenland. Establishing the timescale between these tie-point ages requires interpolation. While the uncertainty at tie points is relatively well described, uncertainty of the interpolation is not. Here we assess the accuracy of three interpolation schemes using data from the WAIS Divide ice core in West Antarctica; we compare the interpolation methods with the annually resolved timescale for the past 30 kyr. Linear interpolation yields

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26

Chen, Yanjun, Shengye Wang, and Wei Liu. "Data-Driven Transition Models for Aeronautical Flows with a High-Order Numerical Method." Aerospace 9, no. 10 (2022): 578. http://dx.doi.org/10.3390/aerospace9100578.

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Over the past years, there has been innovative ideas about data-driven turbulence modeling proposed by scholars all over the world. This paper is a continuity of these significant efforts, with the aim of offering a better representation for turbulence physics. Previous works mainly focus on turbulence viscosity or Reynolds stress, while there are few works for turbulence transition. In our work, two mapping functions between average flow parameters and transition intermittency, a virtual physical quantity describing the amount of turbulence at a given position, are refactored, respectively, w

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27

Gladkov, Aleksandr Vjacheslavovich, Yury Vjacheslavovich Sivets, and Ksenya Yuryevna Avdeeva. "NEW APPROACH TO APPLICATION OF MATHEMATICAL APPARATUS FOR THE CONSTRUCTION OF THREE-DIMENSIONAL SPINE MODEL." Hirurgiâ pozvonočnika, no. 1 (March 14, 2005): 100–104. http://dx.doi.org/10.14531/ss2005.1.100-104.

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The paper presents a mathematical model with graphic visualization, which describes spine geometric parameters and conditions of their changes in time and space. Reduction of data file size necessary for reproduction of vertebra shape and storage of this structure in a computer with the least losses is achieved with algorithm of geometrical interpolation and vertebral body shape reconstruction – with trigonometric interpolation sums (TIS). The developed spine model is based on three concepts. A spline interpolation is used for reproduction of the whole spine. The spline polynomial is built on

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Stasik, Paweł M., and Julian Balcerek. "Extensible Implementation of Reliable Pixel Art Interpolation." Foundations of Computing and Decision Sciences 44, no. 2 (2019): 213–39. http://dx.doi.org/10.2478/fcds-2019-0011.

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Abstract Pixel art is aesthetics that emulates the graphical style of old computer systems. Graphics created with this style needs to be scaled up for presentation on modern displays. The authors proposed two new modifications of image scaling for this purpose: a proximity-based coefficient correction and a transition area restriction. Moreover a new interpolation kernel has been introduced. The presented approaches are aimed at reliable and flexible bitmap scaling while overcoming limitations of existing methods. The new techniques were introduced in an extensible. NET application that serves

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Lekshmi, Ajayan, and C. Christopher Seldev. "Shadow Removal Using Inpainting and Interpolation Technique." Applied Mechanics and Materials 626 (August 2014): 32–37. http://dx.doi.org/10.4028/www.scientific.net/amm.626.32.

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Shadows are viewed as undesired information that strongly affects images. Shadows may cause a high risk to present false color tones, to distort the shape of objects, to merge, or to lose objects. This paper proposes a novel approach for the detection and removal of shadows in an image. Firstly the shadow and non shadow region of the original image is identified by HSV color model. The shadow removal is based on exemplar based image inpainting. Finally, the border between the reconstructed shadow and the non shadow areas undergoes bilinear interpolation to yield a smooth transition between the

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Tao, Jian Ming, Ai Ping Song, and Dan Ping Yi. "Description and Smoothing of NC Motion Path Based on the Cubic Trigonometric Interpolation Spline." Applied Mechanics and Materials 365-366 (August 2013): 515–21. http://dx.doi.org/10.4028/www.scientific.net/amm.365-366.515.

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In order to better describe the complex motion path of NC machining and realize the smooth transition between path segments, a kind of cubic trigonometric interpolation spline curve was put forward based on a set of special basis function. The spline curve which with adjustable shape satisfies the C1 continuity and it can accurately describe some common engineering curves such as straight line, circular arc and free curve. According to the given information of control points, different shapes of interpolation spline curve can be gotten by changing the adjustment coefficients. Through selecting

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Ruffhead, Andrew Carey. "Enhancement of inverse-distance-weighting 2D interpolation using accelerated decline." Reports on Geodesy and Geoinformatics 116, no. 1 (2023): 9–14. http://dx.doi.org/10.2478/rgg-2023-0006.

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Abstract Two-dimensional interpolation – or surface fitting – is an approximation tool with applications in geodetic datum transformations, terrain modelling and geoid determination. It can also be applied to many other forms of geographic point data, including rainfall, chemical concentrations and noise levels. The problem of fitting of a smooth continuous interpolant to a bivariate function is particularly difficult if the dataset of control points is scattered irregularly. A typical approach is a weighted sum of data values where the sum of the weights is always unity. Weighting by inverse

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Liu, Xiongding, Guangjie Lin, and Wu Wei. "Adaptive Transition Gait Planning of Snake Robot Based on Polynomial Interpolation Method." Actuators 11, no. 8 (2022): 222. http://dx.doi.org/10.3390/act11080222.

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This paper mainly studies the transition gait planning by updating the parameters of snack robot motion control function through ROS nodes, including a straight running gait into a turning gait. In the practical scenario, when changing the control parameters, the joint angle of the snake robot will increase or decrease sharply, and the angular velocity and angular acceleration of the driving joints will also change, which results in oscillation and sideslip of the body. In the turning scene, the visual tracking will loss if the head joint of the snake robot causes the lateral movement and osci

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Nie, Yahui, Yinfei Du, Zhuo Xu, Zimiao Zhang, and Yang Qi. "RBF Interpolation Algorithm for FTS Tool Path Generation." Mathematical Problems in Engineering 2021 (February 2, 2021): 1–10. http://dx.doi.org/10.1155/2021/6689200.

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Freeform optics are defined as nonrotational symmetric optical surfaces in the manufacturing industry. Freeform optics are extensively applied to many areas in order to improve system performance. Fast tool servo (FTS) assisting single-point diamond turning technology has high application prospects in freeform optics machining. This paper discusses the interpolation algorithm for tool path generation of FTS through the application of a radial basis function (RBF) algorithm. For this purpose, a positive definite RBF with compact support was employed as the interpolant. The existence is mathemat

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34

Ryuh, B. S., and G. R. Pennock. "Accurate Motion of a Robot End-Effector Using the Curvature Theory of Ruled Surfaces." Journal of Mechanisms, Transmissions, and Automation in Design 110, no. 4 (1988): 383–88. http://dx.doi.org/10.1115/1.3258934.

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In robotics, there are two methods of trajectory planning: the joint interpolation method which is appropriate for fast transition of the robot end-effector; and the cartesian interpolation method which is appropriate for slower motion of the end-effector along straight path segments. Neither method, however, is sufficient to allow a smooth, differentiable, transition of position and orientation of the end-effector. In this paper, we propose a method of trajectory planning that will permit more accurate motion of a robot end-effector. The method is based on the curvature theory of a ruled surf

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Trivedi, R. K., Uma Shrivastava, V. K. Hinge, and B. D. Shrivastava. "Calculation of Coster-Kronig energies and transition probabilities by linear interpolation method." Journal of Physics: Conference Series 755 (October 2016): 012014. http://dx.doi.org/10.1088/1742-6596/755/1/012014.

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Dembo, Amir, Jian Ding, Jason Miller, and Yuval Peres. "Cut-off for lamplighter chains on tori: dimension interpolation and Phase transition." Probability Theory and Related Fields 173, no. 1-2 (2018): 605–50. http://dx.doi.org/10.1007/s00440-018-0883-4.

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Cardenas-Lailhacar, Cristian, and Michael C. Zerner. "Generalized symmetry-adapted interpolation procedure for finding transition states in internal rotations." International Journal of Quantum Chemistry 75, no. 4-5 (1999): 563–76. http://dx.doi.org/10.1002/(sici)1097-461x(1999)75:4/5<563::aid-qua21>3.0.co;2-z.

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Ma, Junjin, Yunfei Li, Dinghua Zhang, Bo Zhao, Geng Wang, and Xiaoyan Pang. "A Novel Updated Full-Discretization Method for Prediction of Milling Stability." Micromachines 13, no. 2 (2022): 160. http://dx.doi.org/10.3390/mi13020160.

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This paper presents an updated full-discretization method for milling stability prediction based on cubic spline interpolation. First, the mathematical model of the time-delay milling system considering regenerative chatter is represented by a dynamic delay differential equation. Then, in a single tooth passing period, the time is divided into a finite time intervals, the state item and the time-delay item are approximated in each time interval by cubic spline interpolation and third-order Newton interpolation, respectively. Afterward, a transition matrix is constructed to represent the transf

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Brown, Mark. "Spectral Analysis, without Eigenvectors, for Markov Chains." Probability in the Engineering and Informational Sciences 5, no. 2 (1991): 131–44. http://dx.doi.org/10.1017/s0269964800001972.

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The Lagrange-Sylvester interpolation polynomial approach provides a simple, eigenvector-free representation for finite diagonalizable matrices. This paper discusses the Lagrange-Sylvester methodology and applies it to skip free to the right Markov chains. It leads to relatively simple, eigenvalue-based expressions for first passage time distributions and transition probabilities.

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Feng, Jin Qian, Tao Wang, and Wei Xu. "The Noise-Induced Chaotic Transition in a Vibro-Impact Oscillator." Applied Mechanics and Materials 117-119 (October 2011): 347–50. http://dx.doi.org/10.4028/www.scientific.net/amm.117-119.347.

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The influences of noise on chaotic dynamics in a vibro-impact oscillator, modeled as Duffing Van der Pol (DVP) system with unilateral rigid barrier, are investigated. An interpolation strategy is introduced to locate the impact instants, and effective numerical method is proposed to improve the computational precision in the vibro-impact oscillator. Near the boundary crisis, the phenomenon of noise-induced chaotic transition occurs. Our studies reveal that the escape of oscillator from the boundary is responsible for this chaotic transition. The increase of noise can aggravate this escape.

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Mihalache, Raluca Maria, and Andreea Manescu. "Interpolation Grid for Local Area of Iasi City." Present Environment and Sustainable Development 8, no. 1 (2014): 157–64. http://dx.doi.org/10.2478/pesd-2014-0014.

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Abstract Definitive transition to GNSS technology of achieving geodetic networks for cadastre implementation in cities and municipalities, enforce establishing a unique way of linking between current measurements and existing geodetic data, with a sufficient accuracy proper to urban cadastre standards. Regarding city of Iasi, is presented a different method of transformation which consist in an interpolation grid for heights system. The Romanian national height system is „Black Sea-1975” normal heights system. Founded in 1945 by Molodenski, this system uses the quasigeoid as reference surface,

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PREZIOSI, L., and L. M. DE SOCIO. "A NONLINEAR INVERSE PHASE TRANSITION PROBLEM FOR THE HEAT EQUATION." Mathematical Models and Methods in Applied Sciences 01, no. 02 (1991): 167–82. http://dx.doi.org/10.1142/s0218202591000101.

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This paper proposes a method for the solution of two inverse problems which are governed by the nonlinear heat equation in one space dimension. In the first case phase transition occurs at the moving interface which divides two media. In the second one a random heat source is placed at a moving point. In both cases the temperature is assigned, as a function of time and within a random error, at a given fixed point. The solution procedure leads to quantitative results and is based on the Stochastic Adaptative Interpolation method.

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Fellmuth, Bernd, and Christof Gaiser. "High-accuracy realization of temperature fixed and reference points." Review of Scientific Instruments 94, no. 1 (2023): 011102. http://dx.doi.org/10.1063/5.0110125.

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The harmonization of international temperature measurements requires the high-accuracy realization of many different temperature reference points. This results from the feature of the intensive measurand temperature that temperatures cannot simply be divided or multiplied. Thus, the points must cover the whole range of interest, at present from 1 mK to a few 1000 K. Furthermore, instruments are necessary for the interpolation between the non-continuous guide values. This led to the establishment of International Temperature Scales (ITS). The ITS prescribe interpolation instruments and assign f

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Berezin, Arseniy Vladimirovich, Vadim Dmitrievich Levchenko, and Anastasia Yurievna Perepelkina. "Interpolation – free LBM on non-uniform grids with TRT collision operator." Keldysh Institute Preprints, no. 19 (2024): 1–32. http://dx.doi.org/10.20948/prepr-2024-19.

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Lattice Boltzmann method (LBM) is a modern numerical scheme for solving fluid dynamics problems. LBM is easy to implement and it has a great potential for modifications. One of the priority LBM development directions is the correct construction of such a scheme on non-uniform spatial grids. However, at the moment, it requires interpolation and often deprives the scheme of the classical LBM advantages. We developed and tested an interpolation-free method for constructing athermal node-based LBM on non-uniform meshes with the TRT collision operator. The method is based on the use of different LB

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Lim, Sooyeon. "Linear Interpolation Transition of Character Animation for Immediate 3D Response to User Motion." International Journal of Contents 11, no. 1 (2015): 15–20. http://dx.doi.org/10.5392/ijoc.2015.11.1.015.

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ZHANG, Xiaohui. "Corner Curve Transition Interpolation Algorithm for High Speed Machining of Micro-line Segment." Journal of Mechanical Engineering 46, no. 19 (2010): 183. http://dx.doi.org/10.3901/jme.2010.19.183.

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Beikircher, T., N. Benz, and W. Spirkl. "A Modified Temperature-Jump Method for the Transition and Low-Pressure Regime." Journal of Heat Transfer 120, no. 4 (1998): 965–70. http://dx.doi.org/10.1115/1.2825916.

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For modeling the gas heat conduction at arbitrary Knudsen numbers and for a broad range of geometries, we propose a modified temperature-jump method. Within the modified approach, we make a distinction between an inner convex surface and an outer concave surface enclosing the inner surface. For problems, where only a single geometric length is involved, i.e., for large parallel plates, long concentric cylinders and concentric spheres, the new method coincides at any Knudsen number with the interpolation formula according to Sherman, and therefore also with the known solutions of the Boltzmann

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Oliveira, Walter Alexandre A. de, Denise Guliato, Douglas Coelho Braga de Oliveira, Rodrigo Luis de Souza da Silva, and Gilson Antonio Giraldi. "New Technique for Binary Morphological Shape-Based Interpolation." International Journal of Image and Graphics 19, no. 02 (2019): 1950007. http://dx.doi.org/10.1142/s0219467819500074.

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In this paper we consider shape-based methods to generate additional slices in 3D binary volumes. The focused interpolation approaches, named SIMOL and BORS, are based on morphological and logical operators. Given two adjacent slices [Formula: see text] and [Formula: see text] of the binary image set, the methods iteratively generate a sequence of new slices showing a gradual transition between the corresponding shapes. First, we analyze the SIMOL and BORS techniques and highlight their problems. Then we present the main contribution of this paper: a new interpolation scheme, called SIMOL-NEW,

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Luo, Yun Mei, Luc Chevalier, and Eric Monteiro. "Numerical Simulation of the Viscohyperelastic Behaviour of PET near the Glass Transition Temperature." Key Engineering Materials 504-506 (February 2012): 1139–44. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.1139.

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The presentation deals with the non linear strongly elastic and viscous behaviour of poly ethylene terephthalate near the glass transition temperature and biaxially stretched at high strain rates representative of the injection stretch blow moulding process. A non linear visco-hyperelastic model inspired from [1] and identified from the experimental results of the equi-biaxial tension test [2], have been developed and presented in [3] is implemented into a finite element code developed with Matlab. The thermal behaviour modelling, identification and simulation has also been managed. First, a n

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Borkowski, Piotr, Zbigniew Pietrzykowski, and Janusz Magaj. "The Algorithm of Determining an Anti-Collision Manoeuvre Trajectory Based on the Interpolation of Ship’s State Vector." Sensors 21, no. 16 (2021): 5332. http://dx.doi.org/10.3390/s21165332.

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The determination of a ship’s safe trajectory in collision situations at sea is one of the basic functions in autonomous navigation of ships. While planning a collision avoiding manoeuvre in open waters, the navigator has to take into account the ships manoeuvrability and hydrometeorological conditions. To this end, the ship’s state vector is predicted—position coordinates, speed, heading, and other movement parameters—at fixed time intervals for different steering scenarios. One possible way to solve this problem is a method using the interpolation of the ship’s state vector based on the data

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