• Title/Summary/Keyword: curve fitting

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A Development of Prediction Model for Traffic Opening Time of Epoxy Asphalt Pavement Using Nonlinear Curve Fitting (비선형 커브피팅을 이용한 에폭시 아스팔트 포장의 교통개방 예측 모델 개발)

  • Jo, Shin Haeng;Kim, Nakseok
    • Journal of the Society of Disaster Information
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    • v.9 no.3
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    • pp.324-331
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    • 2013
  • Epoxy asphalt concrete is used to reduce dead load and to increase durability on long-span steel bridge overlay. The strength development properties of epoxy asphalt concrete are affected by time and temperature because epoxy asphalt is two-phase reactive materials. The strength development of epoxy asphalt concrete should be predicted precisely to decide traffic opening time. Based on this background in mind, the prediction model for traffic opening time for epoxy asphalt pavement was proposed in this research. The developed model using nonlinear curve fitting revealed R2 value of 0.943 while the R2 value of the existing model using chemical kinetics was 0.806. An improved precise prediction result is to be obtained when the prediction model uses accurate temperature data of pavement.

Experimental Vibration Analysis of a Super-Structure Model Using Curve Fitting Method (곡선맞춤법을 이용한 선체상부구조 모델의 진동해석)

  • Oh, Chang-Geun;Je, Hae-Kwang;Park, Sok-Chu
    • Journal of Navigation and Port Research
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    • v.26 no.3
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    • pp.281-288
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    • 2002
  • It might be true that both experimental and analytic techniques have been developed in the vibration analysis end engineering. It could not be said, however, that the experimental method has been also developed as much as analytic method, such as Finite Element Method One of the reason is that computation time becomes longer and that the solution often diverges depending on the choice of initial value in solving nonlinear equation. The equation in experimental modal analysis is usually composed of the nonlinear term of natural frequency and modal damping ratio, and the linear one of equivalent stiffness. In this study, the nonlinear terms were solved first, and then the linear term was obtained. The experimental modal parameters were estimated, applying the developed experimental modal analysis curve-fitting method to the super-structure model. In addition, the number of modes and modal damping ratio could be easily determined by the developed program with the application of graphical techniques and with easy handling button.

A Study of Automatic Recognition on Target and Flame Based Gradient Vector Field Using Infrared Image (적외선 영상을 이용한 Gradient Vector Field 기반의 표적 및 화염 자동인식 연구)

  • Kim, Chun-Ho;Lee, Ju-Young
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.1
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    • pp.63-73
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    • 2021
  • This paper presents a algorithm for automatic target recognition robust to the influence of the flame in order to track the target by EOTS(Electro-Optical Targeting System) equipped on UAV(Unmanned Aerial Vehicle) when there is aerial target or marine target with flame at the same time. The proposed method converts infrared images of targets and flames into a gradient vector field, and applies each gradient magnitude to a polynomial curve fitting technique to extract polynomial coefficients, and learns them in a shallow neural network model to automatically recognize targets and flames. The performance of the proposed technique was confirmed by utilizing the various infrared image database of the target and flame. Using this algorithm, it can be applied to areas where collision avoidance, forest fire detection, automatic detection and recognition of targets in the air and sea during automatic flight of unmanned aircraft.

Nonlinear creep model based on shear creep test of granite

  • Hu, Bin;Wei, Er-Jian;Li, Jing;Zhu, Xin;Tian, Kun-Yun;Cui, Kai
    • Geomechanics and Engineering
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    • v.27 no.5
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    • pp.527-535
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    • 2021
  • The creep characteristics of rock is of great significance for the study of long-term stability of engineering, so it is necessary to carry out indoor creep test and creep model of rock. First of all, in different water-bearing state and different positive pressure conditions, the granite is graded loaded to conduct indoor shear creep test. Through the test, the shear creep characteristics of granite are obtained. According to the test results, the stress-strain isochronous curve is obtained, and then the long-term strength of granite under different conditions is determined. Then, the fractional-order calculus software element is introduced, and it is connected in series with the spring element and the nonlinear viscoplastic body considering the creep acceleration start time to form a nonlinear viscoplastic creep model with fewer elements and fewer parameters. Finally, based on the shear creep test data of granite, using the nonlinear curve fitting of Origin software and Levenberg-Marquardt optimization algorithm, the parameter fitting and comparative analysis of the nonlinear creep model are carried out. The results show that the test data and the model curve have a high degree of fitting, which further explains the rationality and applicability of the established nonlinear visco-elastoplastic creep model. The research in this paper can provide certain reference significance and reference value for the study of nonlinear creep model of rock in the future.

Required Time for Isotopic and Ko Consolidation of Marine Clay in Triaxial Cell (삼축셀에서 해성점토의 등방 및 Ko 압밀소요 시간)

  • Lee, Kyeong-Jun;Jung, Du-Hwoe;Im, Jong-Chul
    • Journal of the Korean Geotechnical Society
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    • v.23 no.8
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    • pp.137-147
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    • 2007
  • Isotropic (instant loading) and Ko (gradual increase loading) consolidation tests were conducted in triaxial test equipment using cylindrical sample (5.0 cm in diameter and 10.0 cm in height) on two marine clay deposits. The duration of primary consolidation was estimated by two curve fitting methods using measured strain. A differential equation of consolidation for drainage in the radial and vertical direction was solved by the implicit finite difference scheme. The results of two curve fitting methods were compared with the numerical solutions to evaluate the appropriate axial loading rate of Ko consolidation and the primary consolidation periods. In addition, primary consolidation periods of the samples with a diameter of 35 mm and a height of 70 mm were calculated. The relation of radial and vertical consolidation coefficients is also presented.

Assessment of Non-permeability of Gd-DTPA for Dynamic Susceptibility Contrast in Human Brain: A Preliminary Study Using Non-linear Curve Fitting (뇌영역의 동적 자화율 대조도 영상에서 Gd-DTPA 조영제의 비투과성 조사: 새로운 비선형 곡선조화 알고리즘 개발의 예비연구)

  • Yoon, Seong-Ik;Jahng, Geon-Ho;Khang, Hyun-Soo;Kim, Young-Joo;Choel, Bo-Young
    • Investigative Magnetic Resonance Imaging
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    • v.11 no.2
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    • pp.103-109
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    • 2007
  • To develop an advanced non-linear curve fitting (NLCF) algorithm for performing dynamic susceptibility contrast study of the brain. The first pass effects give rise to spuriously high estimates of $K^{trans}$ for the voxels that represent the large vascular components. An explicit threshold value was used to reject voxels. The blood perfusion and volume estimation were accurately evaluated in the $T2^*$-weighted dynamic contrast enhanced (DCE)-MR images. From each of the recalculated parameters, a perfusion weighted image was outlined by using the modified non-linear curve fitting algorithm. The present study demonstrated an improvement of an estimation of the kinetic parameters from the DCE $T2^*$-weighted magnetic resonance imaging data with using contrast agents.

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Automated Inspection System for Brake Shoe of Rolling Stock (철도차량용 제륜자의 자동 검사 시스템)

  • Kim, Hyun-Cheol;Kim, Whoi-Yul
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.6
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    • pp.1-15
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    • 2009
  • In this paper, we have proposed an automated system that accurately measures the thickness and unbalanced wear of brake shoes, and the distance between brake shoes and wheels for travelling rolling stock. The images of brake shoes are captured automatically while rolling stock is passing by an inspection station. And in order to measure the thickness, etc. the locations of brake shoes are first determined because the locations are not the same in the captured image. Toward this goal, shadow regions between the brake shoes and wheels are utilized that are common in all captured images. The boundary of the shadow regions is modeled by an second order polynomial, and constrained curve fitting method is adopted to detect a curve (the initial curve) that passes through the regions. Then, three curves that correspond to the front, back of brake shoes and wheels, and a line that passes through the vertical surface of brake shoes are detected using the initial curve and intensity change information. Finally, the thickness, etc. are calculated using the detected curves and line, and experimental results showed that the brake shoe thickness was measured with an accuracy of 0.654mm.

Study of MTF Measure That Adopts a Fitting Curve for the Variable Angle of a Slant Target in Presampled MTF (Presampled MTF 기법에서 Slant Target의 다양한 각도에 대한 함수 Fitting이 적용된 MTF 측정기법에 관한 연구)

  • Choi, Siyoun;Kim, Junghwan;Kong, Hyunbae;Kim, Donghwan;Baek, Kyounghoon;Park, Ingu;Jeon, Hyowon;Lee, Kinam
    • Korean Journal of Optics and Photonics
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    • v.33 no.6
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    • pp.310-316
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    • 2022
  • In this paper, the difference in modulation transfer function (MTF) results according to the change in the angle of a slant target when measuring a presampled MTF was confirmed, and the difference was reduced by fitting the edge spread function graph obtained to reduce the error by the target's rotation. Due to the feature of the presampled MTF method, the spatial frequency changed due to the sensor's projected intensity being changed by the target's rotation, and it was confirmed that the difference in the MTF value occurred depending on the rotation angle of the target. In this paper, the MTF was calculated after fitting only one column of the acquired image. It was confirmed that the rotation error is smaller compared to the case of the presampled MTF method and this fitting method can be applied to a scene that contains various target angles, such as auto-focusing using the MTF.

Growth curve modeling of nucleus F0 on Korean accentual phrase

  • Yoon, Tae-Jin
    • Phonetics and Speech Sciences
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    • v.9 no.3
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    • pp.17-23
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    • 2017
  • The present study investigates the effect of Accentual Phrase on F0 using a subset of large-scale corpus of Seoul Korean. Four syllable words which were neither preceded nor followed by silent pauses were presumed to be canonical exemplars of Accentual Phrases in Korean. These four syllable words were extracted from female speakers' speech samples. Growth curve analyses, combination of regression and polynomial curve fitting, were applied to the four syllable words. Four syllable words were divided into four groups depending on the categorical status of the initial segment: voiceless obstruents, voiced obstruents, sonorants, and vowels. Results of growth curve analyses indicate that initial segment types have an effect on the F0 (in semitone) in the nucleus of the initial syllable, and the cubic polynomial term revealed that some of the medial low tones in the 4 syllable words may be guided by the principle of contrast maximization, while others may be governed by the principle of ease of articulation.

On the estimation of parameters for the growth curve of the Korean Population (한국의 인구곡선 추정에 관한 연구)

  • 구자흥
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.249-261
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    • 1994
  • The purpose of this research is to obtain a Simple Logistic Curve for the curve fitting of Korean total Population. Based on the population census data from 1949 to 1990, the parameters are estimated by 3-group method. As the results, intercensal populations of Korea from 1950 to 190 are estimated, and Korean total populations from 1991 to 2010 A.D. are projected. And we also can suggest the upper asymptote 58, 616 thousands of Korean total population.

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