• Title/Summary/Keyword: spline curve

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A Study on Reverse Design of Cam Mechanism using NURBS (NURBS를 이용한 캠 기구의 역설계에 관한 연구)

  • 김상진;신중호;김대원;윤호업
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.920-924
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    • 2002
  • This paper presents the reverse design of a cam mechanism using NURBS(Nonuniform Rational B-spline curve). Cam is very difficult to make the accurate shape on the design and the manufacture. Because the cam shape is commonly made in order to move in special functions. The reverse design can be used to check accuracy between the designed data and the manufactured data of the cam shape and also reproduce the cam without the design data. The reverse design procedures consist of motion analysis and curve fitting. The motion analysis is used the central difference method and the relative velocity method to find the displacement and velocity. The curve fitting is used NURBS to develope the whole curve. The central difference method is derived in the 3 dimensional space.

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Hull Form Definition of Underwater Vehicle using NURBS Curve (NURBS곡선을 이용한 수중운동체의 선형정의)

  • Hyun-Cheol Kim;Seon-Sik Pyo;Soo-Young Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.2
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    • pp.1-9
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    • 1995
  • This paper suggests a numerical method that creates and varies hull form geometry of underwater vehicle. That is, it induces the cylindrical underwater vehicle from principal dimensions-total length, the length of parallel middle body, the coefficient defining entrance & run parts etc.-and represents using NURBS curve. Also, each section of hull form is varied by user interface and Sectional Area Curve is generated.

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Identification of the Distribution Function of the Preisach Model using Inverse Algorithm

  • Koh, Chang-Seop;Ryu, Jae-Seop
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.2B no.4
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    • pp.168-173
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    • 2002
  • A new identification algorithm for the Preisach model is presented. The algorithm treats the identification procedure of the Preisach model as an inverse problem where the independent variables are parameters of the distribution function and the objective function is constructed using only the initial magnetization curve or only tile major loop of the hysteresis curve as well as the whole reversal curves. To parameterize the distribution function, the Bezier spline and Gaussian function are used for the coercive and interaction fields axes, respectively. The presented algorithm is applied to the ferrite permanent magnets, and the distribution functions are correctly found from the major loop of the hysteresis curve or the initial magnetization curve.

A Development of Stem Analysis Program and its Comparison with other Method for Increment Calculation (수간석해(樹幹析解) 전산(電算)프로그램 개발(開發) 및 생장량(生長量) 계산방법(計算方法)의 비교(比較)에 관(關)한 연구(硏究))

  • Byun, Woo Hyuk;Lee, Woo Kyun;Yun, Kwang Bae
    • Journal of Korean Society of Forest Science
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    • v.79 no.1
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    • pp.1-15
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    • 1990
  • In this study the stem analysis program, which can be operated with personal computer was developed to reduce time and cost of calculation, and to increase accuracy of analysis. The stem analysis method used in this program was compared with other methods. The results obtained were as follows : The value, 1/100mm measured from the latest annual ring measurement machine (Jahrringme${\beta}$geraete Johan Type II) was automatically inputed to the computer and saved into given file name. Turbo Pascal program was written to do this. The measured data was analyzed by stem analysis calculation program written by Fortran-77. Volume and height increments were approximated by spline function, and diameter of the stem disk was calculated by quadratic mean method. The increment values calculated by the programs were printed annually and in every five-year. Stem analysis diagram and several increment graphs were also easily printed. The result compared between those analysis methods showed that quadratic mean could reduce the error caused from eccentric pith. When the stem taper curve method, approximated by spline function, was used in the calculation of tree height and volume, increments would be more exactly calculated.

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A Parametric Study of Displacement Measurements Using Digital Image Correlation Method

  • Ha, Kuen-Dong
    • Journal of Mechanical Science and Technology
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    • v.14 no.5
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    • pp.518-529
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    • 2000
  • A detailed and thorough parametric study of digital image correlation method is presented. A theoretical background and development of the method were introduced and the effects of various parameters on the determination of displacement outputs from the raw original and deformed image information were examined. Use of the normalized correlation coefficient, the use of 20 to 40 pixels for a searching window side, 6 variables searching, bi-cubic spline sub pixel interpolations and the use of coarse-fine search are some of the key choices among the results of parametric studies. The displacement outputs can be further processed with two dimensional curve fitting for the data noise reduction as well as displacement gradient calculation.

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Reverse Engineering of Compound Surfaces Using Boundary Detection Method

  • Cho, Myeong-Woo;Seo, Tae-Il;Kim, Jae-Doc;Kwon, Oh-Yang
    • Journal of Mechanical Science and Technology
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    • v.14 no.10
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    • pp.1104-1113
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    • 2000
  • This paper proposes an efficient reverse engineering technique for compound surfaces using a boundary detection method. This approach consists in extracting geometric edge information using a vision system, which can be used in order to drastically reduce geometric errors in the vicinity of compound surface boundaries. Through the image-processing technique and the interpolation process, boundaries are reconstructed by either analytic curves (e. g. circle, ellipse, line) or parametric curves (B-spline curve). In other regions, except boundaries, geometric data are acquired on CMM as points inspected using a touch type probe, and then they are interpolated on several surfaces using a B-spline skinning method. Finally, the boundary edge and the skinned surfaces are combined to reconstruct the final compound surface. Through simulations and experimental works, the effectiveness of the proposed method is confirmed.

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Bayesian Curve-Fitting in Semiparametric Small Area Models with Measurement Errors

  • Hwang, Jinseub;Kim, Dal Ho
    • Communications for Statistical Applications and Methods
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    • v.22 no.4
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    • pp.349-359
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    • 2015
  • We study a semiparametric Bayesian approach to small area estimation under a nested error linear regression model with area level covariate subject to measurement error. Consideration is given to radial basis functions for the regression spline and knots on a grid of equally spaced sample quantiles of covariate with measurement errors in the nested error linear regression model setup. We conduct a hierarchical Bayesian structural measurement error model for small areas and prove the propriety of the joint posterior based on a given hierarchical Bayesian framework since some priors are defined non-informative improper priors that uses Markov Chain Monte Carlo methods to fit it. Our methodology is illustrated using numerical examples to compare possible models based on model adequacy criteria; in addition, analysis is conducted based on real data.

Automatic Ship Collision Avoidance in Narrow Channels through Curvilinear Coordinate Transformation (곡선좌표계 변환에 기반한 협수로에서 선박 자율 충돌회피)

  • Cho, Yonghoon;Kim, Jonghwi;Kim, Jinwhan
    • Journal of the Society of Naval Architects of Korea
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    • v.58 no.3
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    • pp.191-197
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    • 2021
  • This study addresses autonomous ship collision avoidance in narrow channels using curvilinear coordinates. Navigation in narrow channels or fairways is known to be much more difficult and challenging compared with navigation in the open sea. It is not straightforward to apply the existing collision avoidance framework designed for use in the open sea to collision avoidance in narrow channels due to the complexity of the problem. In this study, to generalize the autonomous navigation procedure for collision avoidance in narrow channels, we introduce a curvilinear coordinate system for collision-free path planning using a parametric curve, B-spline. To demonstrate the feasibility of the proposed algorithm, ship traffic simulations were performed and the results are presented.

A Study on the Sweep Surface Modeling for Reverse Engineering (역공학을 위한 Sweep 곡면 모델링에 관한 연구)

  • 임금주;이희관;양균의
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.426-429
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    • 2001
  • Many various products are manufactured which have sculptured surfaces recently. Constructing surface of these models is required technique called reverse engineering. In reverse engineering, a product which has sculptured surfaces is measured and we create surface model to acquire complete model data of object. Measured point data needs preprocess and sampling. Next a set of point data in a plane fit section curve. At last, surface is generated by fitting to section curves. Here we uses sweep surface. Sweep surface is compatible fitting CAD model to drawing. This paper discusses converting approximation of NURBS surface as a standard surface.

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An Automatic Drafting of the Apparel Pattern for an Easy Order System - Drawing of Full Pleated Skirt Design and Development of a Curve Function - (Easy Order System을 위한 의류 패턴의 자동 제도 연구 -Full pleated skirt 디자인의 제도 및 곡선 함수 설계-)

  • 전은경;김혜경
    • Journal of the Korean Society of Clothing and Textiles
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    • v.22 no.3
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    • pp.303-311
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    • 1998
  • We developed a pattern drafting computer program using a popular CAD program for the purpose of the automatic manufacturing and education based on the concept of the easy -order-system which can easily reflect body characteristics and design favors of individuals to the ready-made clothing. The programs were written in Auto LISP which can utilise most of frictions of the Auto CAD, and the result of the design for an full-pleated skirt was shown. Also, we devised an easy way to set the location of reference points by inputting of tangential angle only for the use of the cubic spline curve which can represent body shape very well. Finally, by marking down all of symbols needed in manufacturing process, we completed the automatic pattern drafting program to make it useful as an industrial pattern without any amendment or correction in cutting and sewing operation.

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