• 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.

• 디지털산업정보학회논문지
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• 제8권4호
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• pp.1-11
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• 2012

This paper is the study on the development of a torque precision measuring system using the curve fitting algorithm. This system can be divided into the hardware part and the software part. The hardware part consists of the main base board, the DAQ(Data Aquisition) board and Calibration parts. The software part consists of the software filter module and the curve fitting algorithm module. We have tested the torque transducer including the strain gauge for 200 Nm range and have analyzed the data acquired with the curve fitting algorithm by using this system. The DAQ board converts the electric signal induced by the transducer to the digital value precisely by using the shunt calibration procedure. The main board including the curve fitting algorithm calculates the exact digital torque value by using the digital value from the DAQ board. In this study, we confirmed that the result of the appropriate high-order power-series polynomial function is more accurate than the result of the low-order power-series polynomial through the system.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 하계학술대회 논문집 B
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• pp.1258-1260
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• 2002

This paper presents a fitting algorithm for automatic design of cantilever. Through this algorithm, CaLeCa which is automatic calculation software of cantilrver fitting is developed.

• 한국음향학회지
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• 제36권6호
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• pp.394-400
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• 2017

본 논문은 기존의 시간영역에서 다루던 공분산 행렬 fitting 기반 도래각 추정 알고리즘인 SpSF(Sparse Spectrum Fitting)를 주파수 영역으로 확장함으로써 기존의 시간영역의 SpSF 알고리즘이 주파수 영역에서도 구현 가능함을 보인다. 기존의 주파수 영역에서 구현되는 도래각 추정 알고리즘과의 성능 분석 및 비교를 통해 압축센싱 기반 공분산 fitting 알고리즘인 SpSF의 우수함을 보여준다.

• 한국정보통신학회논문지
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• 제23권4호
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• pp.388-393
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• 2019

외란(Outlier)이 있는 데이터를 피팅(Fitting)하는 방법으로 RANSAC(RANdom SAmple Consensus)알고리즘이 선, 원, 타원 등 의 피팅에 많이 사용되고 있다. 본 논문은 다수의 평면에 대한 3차원 포인트 데이터가 주어질 때 각 평면에 대해 RANSAC기반 평면 피팅을 최근 딥러닝 등에 많이 사용되는 GPU의 하나인 CUDA를 이용하여 효율적으로 수행하는 알고리즘을 제안한다. 모의 데이터와 실제 데이터를 이용하여 제안된 알고리즘의 성능을 CPU와 비교하여 보인다. 외란이 많고 인라이어(inlier) 비율이 낮을수록 CPU대비 속도가 향상되고 평면의 개수가 많을수록 평면당 데이터개수가 많을수록 병렬처리에 의한 속도가 가속됨을 보인다. 제안된 방법은 다중 평면 피팅외의 다른 피팅에도 쉽게 적용할 수 있다.

• 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.

• 한국정보과학회논문지:소프트웨어및응용
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• 제32권5호
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• pp.357-365
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• 2005

본 연구에서는 유사한 여러 물체들이 인접하여 나타나는 영상열로부터 물체들을 개별적으로 분리할 수 있는 B-spline 적합(fitting) 알고리즘을 제안한다. 기존의 스네이크(snake) 알고리즘들은 초기화의 어려움과 다수의 극점 존재로 인해서 이러한 영상자료에서 물체의 영역을 개별적으로 분리하는 데는 어려움이 있다. 본 연구에서는 이 문제를 극복하고 다양한 형태의 물체가 인접해 있는 유사한 물체들로부터 효과적으로 분할 할 수 있는 유전자(genetic) 알고리즘 기반 B-spline 적합방안을 제안한다. 실제 상황을 고려하여 생성된 영상자료와 실제 치아 CT 영상을 이용한 평가에서 제안된 방법은 서로 인접해 있는 유사한 형태와 자기의 물체들을 개별적으로 정확하게 분할할 수 있음을 보였다. 제안된 알고리즘의 결과는 이상적으로 추출된 영역과의 일치성과 false positive 오류 그리고 false negative오류가 계산되어 검증되었다.

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.669-684
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• 1999

We are interested in the problem of fitting a curve to a set of points in the plane in such a way that the sum of the squares of the orthogonal distances to given data points ins minimized. In[1] the prob-lem of fitting circles and ellipses was considered and numerically solved with general purpose methods. Especially in [2] H. Spath proposed a special purpose algorithm (Spath's ODF) for parabolas y-b=$c($\chi$-a)^2$ and for rotated ones. In this paper we present another parabola fitting algorithm which is slightly different from Spath's ODF. Our algorithm is mainly based on the steepest descent provedure with the view of en-suring the convergence of the corresponding quadratic function Q(u) to a local minimum. Numerical examples are given.

• 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.

• 대한조선학회논문집
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• 제46권1호
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• pp.87-95
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• 2009

The applicability of optimization techniques for hull surface fitting has been important in the ship design process. In this research, the Genetic Algorithm has been used as a searching technique for solving surface fitting problem and minimizing errors between B-spline surface and the ship's offset data. The encoded design variables are the location of the vertex points and parametric values. The sufficient accuracy in surface fitting implies not only various techniques for computer-aided design, but also the future production design.