• Title/Summary/Keyword: Curve fitting method

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An Efficient Lane Detection Algorithm Based on Hough Transform and Quadratic Curve Fitting (Hough 변환과 2차 곡선 근사화에 기반한 효율적인 차선 인식 알고리즘)

  • Kwon, Hwa-Jung;Yi, June-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.12
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    • pp.3710-3717
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    • 1999
  • For the development of unmanned autonomous vehicle, it is essential to detect obstacles, especially vehicles, in the forward direction of navigation. In order to reliably exclude regions that do not contain obstacles and save a considerable amount of computational effort, it is often necessary to confine computation only to ROI(region of interest)s. A ROI is usually chosen as the interior region of the lane. We propose a computationally simple and efficient method for the detection of lanes based on Hough transform and quadratic curve fitting. The proposed method first employs Hough transform to get approximate locations of lanes, and then applies quadratic curve fitting to the locations computed by Hough transform. We have experimented the proposed method on real outdoor road scene. Experimental results show that our method gives accurate detection of straight and curve lanes, and is computationally very efficient.

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Viscoelastic behavior on composite beam using nonlinear creep model

  • Jung, Sung-Yeop;Kim, Nam-Il;Shin, Dong Ku
    • Steel and Composite Structures
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    • v.7 no.5
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    • pp.355-376
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    • 2007
  • The purpose of this study is to predict and investigate the time-dependent creep behavior of composite materials. For this, firstly the evaluation method for the modulus of elasticity of whole fiber and matrix is presented from the limited information on fiber volume fraction using the singular value decomposition method. Then, the effects of fiber volume fraction on modulus of elasticity of GFRP are verified. Also, as a creep model, the nonlinear curve fitting method based on the Marquardt algorithm is proposed. Using the existing Findley's power creep model and the proposed creep model, the effect of fiber volume fraction on the nonlinear creep behavior of composite materials is verified. Then, for the time-dependent analysis of a composite material subjected to uniaxial tension and simple shear loadings, a user-provided subroutine UMAT is developed to run within ABAQUS. Finally, the creep behavior of center loaded beam structure is investigated using the Hermitian beam elements with shear deformation effect and with time-dependent elastic and shear moduli.

Experimental Vibration Analysis of Damped Beam Model Using Multi-degree Curve Fitting Method (다자유도 곡선맞춤법을 이용한 감쇠보 모델의 실험 진동해석)

  • Min, Cheon-Hong;Bae, Soo-Ryong;Park, Han-Il
    • Journal of Ocean Engineering and Technology
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    • v.22 no.1
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    • pp.70-74
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    • 2008
  • It is important to reduce the vibration and noise of submarines and ships. For the purpose of noise reduction, various researches are actively being conducted on the employment of complex structures. However, in the case of numerical analysis for complex structures with damping materials, substantial errors can be generated by the absence of an exact damping model. Thus experimental model analysis is necessary for the verification of a numerical analysis for complex structures. In this research, vibration experiments are conducted in order to ascertain the vibration properties of cantilever beam attached damping materials. First, an initial value is obtained by using a direct linear method. Next, based on this initial value, the exact modal parameters of the cantilever beam are obtained by using the Newton-Raphson method.

Derivation of Fitting Approximate Formula to Enhance the Accuracy of Cannon Tube Erosion Rate (포신 마모 예측의 정확도 향상을 위한 적합 근사식 유도(I))

  • Chung, Dong-Yoon;Oh, Myoung-Ho
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.05a
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    • pp.80-87
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    • 2002
  • We predict the unknown cannon tube erosion rate by using observed values of the standard cannon, 155mm Howitzer Ml85. We know the standard cannon's ten erosion observation values each 400 rounds. An approximate formula fitting the erosion values of the standard cannon has been derived. Numerical simulation applying this formula to the Rauf Imam's erosion equations is presented.

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Generation of Discrete $G^1$ Continuous B-spline Ship Hullform Surfaces from Curve Network Using Virtual Iso-parametric Curves

  • Rhim, Joong-Hyun;Cho, Doo-Yeoun;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Ship and Ocean Technology
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    • v.10 no.2
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    • pp.24-36
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    • 2006
  • Ship hullform is usually designed with a curve network, and smooth hullform surfaces are supposed to be generated by filling in (or interpolating) the curve network with appropriate surface patches. Tensor-product surfaces such as B-spline and $B\'{e}zier$ patches are typical representations to this interpolating problem. However, they have difficulties in representing the surfaces of irregular topological type which are frequently appeared in the fore- and after-body of ship hullform curve network. In this paper, we proposed a method that can automatically generate discrete $G^1$ continuous B-spline surfaces interpolating given curve network of ship hullform. This method consists of three steps. In the first step, given curve network is reorganized to be of two types: boundary curves and reference curves of surface patches. Especially, the boundary curves are specified for their surface patches to be rectangular or triangular topological type that can be represented with tensor-product (or degenerate) B-spline surface patches. In the second step, surface fitting points and cross boundary derivatives are estimated by constructing virtual iso-parametric curves at discrete parameters. In the last step, discrete $G^1$ continuous B-spline surfaces are generated by surface fitting algorithm. Finally, several examples of resulting smooth hullform surfaces generated from the curve network data of actual ship hullform are included to demonstrate the quality of the proposed method.

Elimination of Outlier from Technology Growth Curve using M-estimator for Defense Science and Technology Survey (M-추정을 사용한 국방과학기술 수준조사 기술성장모형의 이상치 제거)

  • Kim, Jangheon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.23 no.1
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    • pp.76-86
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    • 2020
  • Technology growth curve methodology is commonly used in technology forecasting. A technology growth curve represents the paths of product performance in relation to time or investment in R&D. It is a useful tool to compare the technological performances between Korea and advanced nations and to describe the inflection points, the limit of improvement of a technology and their technology innovation strategies, etc. However, the curve fitting to a set of survey data often leads to model mis-specification, biased parameter estimation and incorrect result since data through survey with experts frequently contain outlier in process of curve fitting due to the subjective response characteristics. This paper propose a method to eliminate of outlier from a technology growth curve using M-estimator. The experimental results prove the overall improvement in technology growth curves by several pilot tests using real-data in Defense Science and Technology Survey reports.

Ultrasensitive laser interferometer for precision measurement of small vibration displacement (고감도 레이저 간섭계를 이용한 미소 진동 진폭의 정밀측정)

  • 서상준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.440-449
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    • 1988
  • Small vibration displacements may be measured by optical interferometers, based on the Michelson method. The standard Michelson interferometer works well when the mirror displacements are relatively large compared to the optical wavelength. But it does not work for displacements less than approximately a quater of optical wavelength. Several multiple reflection laser interferometers, simply modified standard Michelson interferometer, have been developed to decrease the minimum detectable limits. Among these a relatively simple and easy multiple reflection system is used to measure the small vibration displacements. This multiple reflection system is constructed with a right angle prism and a convex lens. Therefore this system makes it possible to measure a vibration displacement of the small area on the vibrating structure. The fringe interpolation method and curve fitting method are used to determine accurately the small vibration displacements from the measured interference fringe patterns. Also computer simulation technique is used to check the accuracies of these method. According to the results of the computer simulation technique, the curve fitting method is more accurate than the fringe interpolation method. The optically measured results are in good agreement with those of the standard accelerometer with high accuracy and it is possible to measure the peak vibration displacement as small as 9.01nm using multiple reflection system and curve fitting method.

A Study on the Design and Manufacturing of Cycloid Gear (사이클로이드 기어 설계 및 가공에 관한 연구)

  • Kim, Sung-Chul;Chung, Won-Jee;Cho, Seung-Rae;Lee, Choon-Man
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.48-53
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    • 1999
  • In this paper, a practical method for design and machining of cycloid gear was investigated. Based on the proposed method, a systematic program was developed for automatically designing the tooth profiles of epicycloid and hypocycloid gears for the case fo one difference between the number of teeth of cycloid gear and the number coordinates of tooth profiles and pressure angles. The error analysis between cycloid curve and Biarc curve was performed to show the effective method of equidistant partitioning of cycloid curve so that efficient method of Biarc curve fitting was also proposed for the partitioned curve.

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Estimation of Settlement Caused by Lateral Displacement by Means of the Differences of Settlements from Consolidation Theory and Field Measurement (압밀이론에 의한 침하량과 현장계측 침하량의 차에 의한 측방유동 침하량 산정)

  • Kang, Min-Soo;Jeon, Sang-Ok;Eam, Sung-Hoon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.51 no.5
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    • pp.59-68
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    • 2009
  • In this study, it was developed that the software could be used to estimate consolidation settlement by curve fitting method according to Terzaghi's consolidation theory on the condition of gradual incremental loading, and the method of estimating settlement caused by lateral displacement was suggested, in which the settlement was calculated from the difference between the settlement calculated with the developed software using the early part of measured data and the settlement measured for the short duration from the beginning of embankment in the field. The verification of the suggested method of estimating settlement caused by lateral displacement showed good results.

Inductance Calculation in a Switched Reluctance Motor using Permeance Method (퍼미언스 방법을 이용한 스위치드 릴럭턴스 전동기의 인덕턴스 산정)

  • Lee, Cheewoo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.12
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    • pp.1836-1842
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    • 2012
  • Torque is proportional to the rate of change of inductance in a switched reluctance motor (SRM), and hence, phase inductance is an important parameter in determining the behavior of an SRM. Therefore, the accurate prediction of inductance with respect to rotor position makes a significant contribution to designing an SRM and its analytical approach is not straightforward due to nonlinear flux distribution. Although several different approaches using a finite element analysis (FEA) or curve-fitting tool have been employed to compute phase inductance [2-5], they are not suitable for a simple design procedure because the FEA necessitates a large amount of time in both modeling and solving with complexity for every motor design, and the curve-fitting requires the data of flux linkage from either an experimental test or an FEA simulation. In this paper, phase inductance is predicted by means of a permeance method, and the proposed approach is analytically verified in terms of the accuracy of estimated inductance compared to inductance obtained by FEA.