• Title/Summary/Keyword: Smooth Fitting

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Genetic Programming Approach to Curve Fitting of Noisy Data and Its Application In Ship Design (유전적 프로그래밍을 이용한 노이지 데이터의 Curve Fitting과 선박설계에서의 적용)

  • Lee K. H.;Yeun Y S.
    • Korean Journal of Computational Design and Engineering
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    • v.9 no.3
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    • pp.183-191
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    • 2004
  • This paper deals with smooth curve fitting of data corrupt by noise. Most research efforts have been concentrated on employing the smoothness penalty function with the estimation of its optimal parameter in order to avoid the 'overfilling and underfitting' dilemma in noisy data fitting problems. Our approach, called DBSF(Differentiation-Based Smooth Fitting), is different from the above-mentioned method. The main idea is that optimal functions approximately estimating the derivative of noisy curve data are generated first using genetic programming, and then their integral values are evaluated and used to recover the original curve form. To show the effectiveness of this approach, DBSP is demonstrated by presenting two illustrative examples and the application of estimating the principal dimensions of bulk cargo ships in the conceptual design stage.

Image Perception of Wedding Hair Coordination (I) -Based on female University Students- (웨딩헤어 관련 코디네이션의 이미지 지각 (I) -여대생을 중심으로-)

  • 정현주;한유정
    • Journal of the Korean Society of Clothing and Textiles
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    • v.27 no.7
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    • pp.735-745
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    • 2003
  • This paper looks at perceived images of female university students concerned with various wedding hair coordination including wedding hair styles, veil details and fitting positions and head dresses. Ta design an experimental test of a wedding dress and hair coordination variables, the content analysis of magazines was performed and hair experts were interviewed. 17 stimuli representing the variables of wedding hair coordination were manipulated and included with hair styles(2), veil details(2), veil fitting Positions(2), head dresses(2) and a wedding hat(1). The questionnaire of 445 was carried out and data were statistically processed. As a result, five images of wedding hair coordination were factors loaded, that is, favorable, decorative, smooth, personal and pretty one. Various main and interaction effects were found in images of it regarding to changing hair styles, different veil details and fitting positions and head dresses. favorable images, they affected by interactions between hair styles and veil details, hair styles and veil fitting positions, hair styles and head dresses and between veil details and the fitting positions. For personal images, interactions between veil details and the positions of veil fitting had effects on female students; for smooth images, That is, for hair style, female university students were influenced by favorable and smooth images; for veil details, by decorative and smooth images; for the positions of fitting veil, by decorative and favorable ones Then the researcher examined effects by dual interactions between factors of wedding hair coordination. For decorative images, they were found influenced by interactions between hair styles and veil details and between hair styles and head dresses. For personal ones, interactions between veil details and the fitting positions; for pretty images, interactions between the fitting positions and head dresses. These findings will provide sellers of the wedding dress with the idea of how females to perceive wedding hair coordination according to the variation of it.

ECAM Control System Based on Auto-tuning PID Velocity Controller with Disturbance Observer and Velocity Compensator

  • Tran, Quang-Vinh;Kim, Won-Ho;Shin, Jin-Ho;Baek, Woon-Bo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.2
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    • pp.113-118
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    • 2010
  • This paper proposed an ECAM (Electronic cam) control system which has simple and general structure. The proposed cam controller adopted the linear and polynomial curve-fitting method to generates a smooth cam profile curve function. Smooth motion trajectory of master actuator guarantees the good performance of slave motion and has an important effect on the interpolation quality of ECAM. The auto-tuning PID velocity controller was applied to overcome the uncertainties in ECAM, and the gains of the controller are updated continuously to ensure the consistency of system performance under varying working conditions. The robustness of system against the varying load torque disturbances and noises is guaranteed by using the load torque disturbance observer to suppress the disturbance on master actuator. The velocity compensator was applied to compensate the degradation of performance of slave motion caused from the varying driving speed of master motion. The stability and validity of the proposed ECAM control system was verified by simulation results.

Approximate Lofting by B-spline Curve Fitting Based on Energy Minimization (에너지 최소화에 근거한 B-spline curve fitting을 이용한 근사적 lofting 방법)

  • 박형준;김광수
    • Korean Journal of Computational Design and Engineering
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    • v.4 no.1
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    • pp.32-42
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    • 1999
  • Approximate lofting or skinning is one of practical surface modeling techniques well used in CAD and reverse engineering applications. Presented in this paper is a method for approximately lofting a given set of curves wihin a specified tolereance. It is based on refitting input curves simultaneously on a common knot vector and interpolating them to get a resultant NURBS surface. A concept of reducing the number of interior knots of the common knot vector is well adopted to acquire more compact representation for the resultant surface. Energy minimization is newly introduced in curve refitting process to stabilize the solution of the fitting problem and get more fair curve. The proposed approximate lofting provides more smooth surface models and realizes more efficient data reduction expecially when the parameterization and compatibility of input curves are not good enough. The method has been successfully implemented in a new CAD/CAM product VX Vision? of Varimetrix Corporation.

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Segmentation of tooth using Adaptive Optimal Thresholding and B-spline Fitting in CT image slices (적응 최적 임계화와 B-spline 적합을 사용한 CT영상열내 치아 분할)

  • Heo, Hoon;Chae, Ok-Sam
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.41 no.4
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    • pp.51-61
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    • 2004
  • In the dental field, the 3D tooth model in which each tooth can be manipulated individually is an essential component for the simulation of orthodontic surgery and treatment. To reconstruct such a tooth model from CT slices, we need to define the accurate boundary of each tooth from CT slices. However, the global threshold method, which is commonly used in most existing 3D reconstruction systems, is not effective for the tooth segmentation in the CT image. In tooth CT slices, some teeth touch with other teeth and some are located inside of alveolar bone whose intensity is similar to that of teeth. In this paper, we propose an image segmentation algorithm based on B-spline curve fitting to produce smooth tooth regions from such CT slices. The proposed algorithm prevents the malfitting problem of the B-spline algorithm by providing accurate initial tooth boundary for the fitting process. This paper proposes an optimal threshold scheme using the intensity and shape information passed by previous slice for the initial boundary generation and an efficient B-spline fitting method based on genetic algorithm. The test result shows that the proposed method detects contour of the individual tooth successfully and can produce a smooth and accurate 3D tooth model for the simulation of orthodontic surgery and treatment.

An Accurate Model of Multi-Type Overcurrent Protective Devices Using Eigensystem Realization Algorithm and Practice Applications

  • Cheng, Chao-Yuan;Wu, Feng-Jih
    • Journal of Electrical Engineering and Technology
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    • v.11 no.1
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    • pp.9-19
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    • 2016
  • Accurate models of the characteristics of typical inverse-time overcurrent (OC) protective devices play an important role in the protective coordination schemes. This paper presents a novel approach to determine the OC protective device parameters. The approach is based on the Eigensystem Realization Algorithm which generates a state space model to fit the characteristics of OC protective devices. Instead of the conventional characteristic curves, the dynamic state space model gives a more exact fit of the OC protective device characteristics. This paper demonstrates the feasibility of decomposing the characteristic curve into smooth components and oscillation components. 19 characteristic curves from 13 typical and 6 non-typical OC protective devices are chosen for curve-fitting. The numbers of fitting components required are determined by the maximum absolute values of errors for the fitted equation. All fitted equations are replaced by a versatile equation for the characteristics of OC protective devices which represents the characteristic model of a novel flexible OC relay, which in turn may be applied to improve the OC coordination problems in the sub-transmission and distribution systems.

Improvement of Accuracy in Evaluating Hue Change Time in the Hue Detection Based Transient Liquid Crystals Technique (색상 검출방식의 천이 액정법에서 색상 변화 시간 산정의 정확도 향상)

  • Shin, So-Min;Jeon, Chang-Soo;Jung, Yong-Wun;Kwak, Jae-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.11
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    • pp.918-925
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    • 2007
  • In this paper, different criteria fur determining hue change time in the hue detection based transient liquid crystals technique were compared. Results showed that methods utilizing threshold of intensity or saturation gave many missing points and quality of the calculated results were strongly depends on the value of threshold. Wider bandwidth in the hue bandwidth method showed better distribution of calculated hue change time, but induced ambiguity in the hue change time. In the time-hue curve fitting method, the distribution of evaluated hue change time was smooth and reasonable, and, by the nature of curve fitting, the noise effect on the hue was successfully considered in calculating of the hue change time. Compared to other methods, it is expected that the time-hue curve fitting method would provide better and accurate hue change time in the hue detection based transient liquid crystals technique.

A Study on Skirt Pattern by Somatotype (체형(体型)에 따른 스커트원형연구(原型硏究))

  • Kim, Kyung Soon
    • Journal of the Korean Society of Clothing and Textiles
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    • v.17 no.3
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    • pp.459-469
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    • 1993
  • The purpose of this study is to investigate the relationship between body-types and skirt-patterns by analyzing various fitting conditions of the skirt patterns in relation to the body-types. To achieve this, fitting tests were done on six types of skirt-patterns. The tests included four body-types selected according to the existing classification of the types of under part of the body. Sensory tests were performed on the existing patterns and new drafting method based on the results of the fitting tests. The results of the fitting tests and sensory test are as follows. 1. The existing skirt-patterns were relatively well-fitted except for certain parts in standard somatotype (body-type A). 2. The new drafting method, designed on the basis of the fitting test on the existing patterns, scored high on all of the eighteen items included in the test This signifies the excellence of the new drafting method. 3. In the case of the allocation between the front and the back, which is the difference between the educational patterns and industrial patterns, the best silhouette was achieved when the hip-line and the waist-line were same sized both in the back and in the front. However, in the case of body-type D it was better when there was a 1cm difference between the back and the front. 4. The number of darts that best fits young persons were found to be eight, to keep their side hip-curve smooth. Further, it is desirable to set the center line of the dart as the vertical waist-line. 5. The best length of the darts were determined to be 12.5cm, 11ch in the back, and 11cm, 9.5cm in the front. Adjustments would be made according to the differing body-types in the range of 0.5cm. 6. The lowerness of the back waist-line for the normal was determined at 1.5cm, with some variations in other body-types. 7. The front waist-line was needed to be 1cm lowered in the case of body-type B, whereas, in the case of body-type D, it was needed to be 1cm raised.

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3D Surface Approximation to Serial 2D Cross Sections (단면정보로부터 3차원 근사곡면의 생성)

  • 박형준;김광수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.719-724
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    • 1994
  • This paper describes a hybrid surface-based method for smooth 3D surface approximation to a sequence of 2D cross sections. The resulting surface is a hybrid G $^{1}$ surface represented by a mesh of triangular and rectangular Bezier patches defined on skinning, branching, or capping regions. Each skinning region is approximated with a closed B_spline surface, which is transformed into a mesh of Bezier patches. Triangular G $^{1}$ surfaces are constructed over brabching and capping regions such that the transitions between each capping regions such that the transitions between each triangular surface and its neighboring skinning surfaces are G $^{1}$ continuous. Since each skinning region is represented by an approximated rectangular C $^{2}$ suface instead of an interpolated trctangular G $^{[-1000]}$ surface, the proposed method can provide more smooth surfaces and realize more efficient data reduction than triangular surfacebased method.

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A Molecular Dynamics Simulation for the Moving Water Droplet on Atomistically Smooth Solid Surface (원자적으로 균일한 평판 위에서 움직이는 물 액적에 대한 분자동역학 시뮬레이션)

  • Hong, Seung-Do;Ha, Man-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.8
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    • pp.559-564
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    • 2009
  • The variation in the shape of water droplet moving on atomistically smooth solid surface in the presence of a constant body force is simulated using molecular dynamics simulation. We investigated how the advancing and receding contact angle of the moving water droplet changes on a solid surface having various characteristic energies. From the MD simulation results, we obtained the density profile defined as the number of water molecules at a given position. Then, assuming the water droplet periphery to be a circle, we calculated the contact angles by using a nonlinear fitting of the half-density contour line. The present simulation clearly shows the different profile of the advancing and receding contact angle for these three different interaction potential between the water droplet and the solid surface.