• 정보처리학회논문지A
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• 제8A권1호
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• pp.42-47
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• 2001

In this paper, we present a curve fitting algorithm using a ball curve. Our algorithm is recursive method for fitting, which is not a traditional ball function but a continuous ball function. This algorithm consists of two steps. The first step, it is classified the composite corner points to joint points until selected from the given data set. The second step is the curve fitting. The basis function for curve fitting is use to ball function. Also, the weighted least square method, to insert knot, is an efficient method for piecewise ball curve and ball curve segments will be smoothly connected at all composit points. The proposed algorithm will be applied to represent image representation, like fonts, digital image and GIS.

• 제어로봇시스템학회논문지
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• 제17권8호
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• pp.768-776
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• 2011

This paper considers a data fitting problem for rational function models using the LM (Levenberg-Marquardt) optimization method. Rational function models have various merits on representing a wide range of shapes and modeling complicated structures by polynomials of low degrees in both the numerator and denominator. However, rational functions are nonlinear in the parameter vector, thereby requiring nonlinear optimization methods to solve the fitting problem. In this paper, we propose a data fitting method for rational function models based on the LM algorithm which is renowned as an effective nonlinear optimization technique. Simulations show that the fitting results are robust against the measurement noises and uncertainties. The effectiveness of the proposed method is further demonstrated by the real application to a 3D depth camera calibration problem.

• 한국경영과학회지
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• 제20권3호
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• pp.17-29
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• 1995

Recently, neural network models have been employed as an alternative to regression analysis for point estimation or function fitting in various field. Thus far, however, no theoretical or empirical guides seem to exist for selecting the tool which the most suitable one for a specific function-fitting problem. In this paper, we evaluate performance of three major function-fitting techniques, regression analysis and two neural network models, back-propagation and linear-Hebbian-learning neural networks. The functions to be fitted are simple linear ones of a single independent variable. The factors considered are size of noise both in dependent and independent variables, portion of outliers, and size of the data. Based on comutational results performed in this study, some guidelines are suggested to choose the best technique that can be used for a specific problem concerned.

• 한국정보통신설비학회:학술대회논문집
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• 한국정보통신설비학회 2006년도 하계학술대회
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• pp.202-204
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• 2006

A new method is presented to design RF filters without the Similarity Transform of their coupling coefficient matrix as circuit parameters which is very tedious due to pivoting and deciding rotation angles needed during the iterations. The transfer function of a filter is directly used for the design and its desired form is derived by the optimized rational-function fitting technique. A 3rd order Coaxial Lowpass filter and an 8th order dual-mode elliptic integral function response filter are taken as an example to validate the proposed method.

• 한국광학회지
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• 제33권6호
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• pp.310-316
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• 2022

Presampled 변조전달함수(MTF) 측정에서 slant 표적각도 변화에 따라 MTF 결과의 차이가 있음을 확인하였고, 표적각도 변화에 대한 오차를 줄이기 위하여 획득한 edge spread function 그래프를 fitting하여 측정값의 오차를 줄일 수 있는 측정기법을 연구하였다. Presampled MTF 방법의 특성상 표적이 회전함에 따라 투영되는 공간주파수의 강도분포는 표적의 회전각도에 따라 변화하며, 이로 인하여 MTF 차이가 발생함을 확인하였다. 이 연구에서는 획득한 영상의 1개의 열에 대해서만 fitting을 한 후 MTF를 계산하였다. Fitting을 이용한 계산은 기존의 presampled MTF 방법과 비교하여 표적 회전에 따른 오차가 줄어듬을 확인하였다. 이 방법은 MTF를 이용한 자동 초점 등 다양한 각도의 표적에 응용이 가능할 것으로 기대된다.

• 한국전기전자재료학회논문지
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• 제35권3호
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• pp.223-231
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• 2022

분광학은 재료의 결정학적, 화학적 구조를 분석하기 위해 가장 보편적으로 활용되는 분석 기법이다. 이러한 기조에 따라 다양한 분석 소프트웨어와 peak fitting과 관련된 기술적 가이드라인이 보급되었지만, 정작 '왜' 중간 계산 과정을 거치고 해당 함수를 쓰는지에 대한 논의는 부족한 실정이다. 따라서 본 tutorial에서는 X선 기반 분광광도계를 통해 얻은 데이터 분석의 기초를 논하고자 한다. 이를 위해 관련된 peak fitting을 위해 필요한 실용적 배경지식을 제시하였다. 나아가, 하나의 예시로 임의로 선정한 X선 광전자 분광법 데이터에 대한 curve fitting 과정을 순서에 따라 알기 쉽게 소개하였다. 제시한 기초 이론은 특정 소프트웨어에 국한된 내용이 아니라 fitting tool이 있는 모든 소프트웨어에서 그대로 활용 가능할뿐더러 다른 분광법 데이터를 분석하는 데 적용 가능하기 때문에, 본 내용을 숙지한다면 보다 수월한 연구 진행을 위한 바탕이 될 수 있을 것이라 기대한다.

• Current Optics and Photonics
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• 제2권1호
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• pp.69-78
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• 2018

This paper presents a precise edge detection algorithm for the critical dimension (CD) measurement of a Thin-Film Transistor Liquid-Crystal Display (TFT-LCD) pattern. The sigmoid surface function is proposed to model the blurred step edge. This model can simultaneously find the position and geometry of the edge precisely. The nonlinear least squares fitting method (Levenberg-Marquardt method) is used to model the image intensity distribution into the proposed sigmoid blurred edge model. The suggested algorithm is verified by comparing the CD measurement repeatability from high-magnified blurry and noisy TFT-LCD images with those from the previous Laplacian of Gaussian (LoG) based sub-pixel edge detection algorithm and error function fitting method. The proposed fitting-based edge detection algorithm produces more precise results than the previous method. The suggested algorithm can be applied to in-line precision CD measurement for high-resolution display devices.

• Nuclear Engineering and Technology
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• 제48권6호
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• pp.1360-1367
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• 2016

This paper introduces a boron meter with improved accuracy compared with other commercially available boron meters. Its design includes a new fitting function and a multi-detector. In pressurized water reactors (PWRs) in Korea, many boron meters have been used to continuously monitor boron concentration in reactor coolant. However, it is difficult to use the boron meters in practice because the measurement uncertainty is high. For this reason, there has been a strong demand for improvement in their accuracy. In this work, a boron meter evaluation model was developed, and two approaches were considered to improve the boron meter accuracy: the first approach uses a new fitting function and the second approach uses a multi-detector. With the new fitting function, the boron concentration error was decreased from 3.30 ppm to 0.73 ppm. With the multi-detector, the count signals were contaminated with noise such as field measurement data, and analyses were repeated 1,000 times to obtain average and standard deviations of the boron concentration errors. Finally, using the new fitting formulation and multi-detector together, the average error was decreased from 5.95 ppm to 1.83 ppm and its standard deviation was decreased from 0.64 ppm to 0.26 ppm. This result represents a great improvement of the boron meter accuracy.

• Communications for Statistical Applications and Methods
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• 제8권3호
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• pp.841-849
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• 2001

The influence in fitting an equicorrelation model is investigated using the influence function. The influence functions for the model parameters are derived and its sample versions are used for investigating the influence of observations on the estimators of the parameters. Some relationships among the sample versions are found. We will derive a measure for identifying observations that have a large influence on the test of fitting the equicorrelation model using the influence function method. An example is given for illustration.

• 대한수학회논문집
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• 제23권2호
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• pp.295-305
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• 2008

This paper demonstrates how composite-exponential-fitting interpolation rules can be constructed to fit an oscillatory function using not only pointwise values of that function but also of that functions's derivative on a closed and bounded interval of interest. This is done in the framework of exponential-fitting techniques. These rules extend the classical composite cubic Hermite interpolating polynomials in the sense that they become the classical composite polynomials as a parameter tends to zero. Some examples are provided to compare the newly constructed rules with the classical composite cubic Hermite interpolating polynomials (or recently developed interpolation rules).