• Title/Summary/Keyword: Surface Fitting

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Planar Patch Extraction from LiDAR Data Using Optimal Parameter Selection (최적 매개변수 선정을 이용한 라이다 데이터로부터 3차원 평면 추출)

  • Shin, Sung-Woong;Bang, Ki-In;Cho, Woo-Sug
    • Journal of Korean Society for Geospatial Information Science
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    • v.19 no.1
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    • pp.97-103
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    • 2011
  • LiDAR system has become a popular tool for generating 3D surface data such as Digital Surface Model. Extraction of valuable information, such as digital building models, from LiDAR data has been an attractive research subject. This research addresses to extract planar patches from LiDAR data. Planar patches are important primitives consisting of man-made objects such as buildings. In order to determine the best fitted planes, this research proposed a method to reduce/eliminate the impact of the outliers and the intersection areas of two planes. After finishing plane fitting, planar patches are segmented by pseudo color values which are calculated by determined three plane parameters for each LiDAR point. In addition, a segmentation procedure is conducted using the pseudo color values to find planar patches. This paper evaluates the feasibility of the proposed method using both airborne and terrestrial LiDAR data.

Methods to determine the size of pant patterns with curved design lines and their three dimensional construction using 3D virtual fitting (곡선 절개형 바지의 패턴사이즈 변형방법과 가상착의곡면3D)

  • Lee, Heeran
    • Journal of Fashion Business
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    • v.20 no.4
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    • pp.153-171
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    • 2016
  • With the advent of smart clothing for health care and sports, the sophisticated designs with curved seams are drawing attention. One of the problems in those clothing is to determine the design curves in 2D pattern, such that it corresponds to the lines on the intended 3D body. Moreover, the difficulty increases when the original pattern needs to be changed for various sizes and body types. We compare two methods of pattern enlargement in this paper: one is the offset/projection type, and the other is the split grading type. For the enlarged pattern with offset/projection type, the 3D surface offset was first adopted to transform the standard lower body to the target larger size; next, the design lines were projected to the new 3D surface, following which the 3D pattern was developed from the newly transformed 3D surface. In the second method, the enlarged pant patterns were developed by the split grading method. Here, a 3D pattern was developed from the initial body, and then enlarged to the target size by the conventional split grading method. Two feminine pants patterns were examined by 3D virtual fitting. We observed that the 3D offset/projection pants pattern was well fitted, having an evenly distributed surplus, as compared with the sample developed using the split grading method. The difference between the two patterns were apparent at the location where several curved lines merged.

Optimization of Automotive Engine-cooling Fan Noise Using Response Surface Method (반응면 기법을 이용한 자동차 엔진 냉각팬의 저소음설계)

  • Lee, J.;Ahn, J.;Lee, S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.407-412
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    • 2000
  • Response surface method is employed in optimizing the acoustic performance of automotive engine-cooling axial fans. The effects of modifications in blade geometry on noise reduction are investigated. Taking the far-field noise level as the objective, a quadratic response surface is constructed utilizing D-Optimality condition as the candidate-points selection criteria. It is shown that the quadratic model exhibits an excellent fitting capability resulting in the blade design with low far-field noise level.

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The measurement of the amount of wear by using least squares approximation with Fourier series (푸리에 급수와 초소 자승법을 이용한 마멸량 측정)

  • 전종하;구영필;조용주
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1998.10a
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    • pp.300-305
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    • 1998
  • A method of calculating wear amount which is based on digitally measured surface profile was suggested. The original profile of worn out profile was estimated from its adjacent surface profile by using least squares curve fitting with Fourier series. The approximated curve was well fitted to original surface profile. With this approach, more accurate calculation of the wear amount will be possible.

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Hypersonic Viscous Interaction of Wedge Flows (극초음속 쐐기 유동의 Viscous Interaction)

  • Kim K. H.;Rho O. H.
    • 한국전산유체공학회:학술대회논문집
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    • 1996.05a
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    • pp.40-45
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    • 1996
  • This paper discribes the viscous interaction of Hypersonic Wedge Flows using Roe FDS and AUSM+. For this purpose we developed the frozen and the equilibrium code and numerically simulated the viscous interaction by changing the surface temperature and the mach number. We used curve fitting data in NASA Reference Publication 1181, 1260 to calculate equilibrium properties. We compare the equilibrium flow with the frozen flow. We conclude that the mach number and the surface temperature are significant parameters, as the surface temperature and the mach number increase the viscous interaction becomes stronger, and we must consider high-temperature effects in hypersonic flow

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Airborne LiDAR Simulation Data Generation of Complex Polyhedral Buildings and Automatic Modeling (다양한 건물의 항공 라이다 시뮬레이션 데이터 생성과 자동 모델링)

  • Kim, Jung-Hyun;Jeon, Young-Jae;Lee, Dong-Cheon
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2010.04a
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    • pp.235-238
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    • 2010
  • Since the mid 1990s airborne LiDAR data have been widely used, automation of building modeling is getting a central issue. LiDAR data processing for building modeling is involved with extracting surface patch elements by segmentation and surface fitting with optimal mathematical functions. In this study, simulation LiDAR data were generated with complex polyhedral roofs of buildings and an automatic modeling approach was proposed.

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An Application of Response Surface Experiments to Control the Quality of Industrial Products : Model Fitting and Prediction of Responses (공업제품의 질을 관리하기 위한 반응표면 실험의 응용 - 통계적 모형 적합과 반응의 예측을 중심으로 -)

  • Park, Seong-Hyeon
    • Journal of Korean Society for Quality Management
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    • v.6 no.1
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    • pp.14-17
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    • 1978
  • In response surface experiments, a polynomial regression model is often used to fit the response surface to explore the functional relationship between a response variable and several independent variables, and to determine the optimum operating conditions, which would be desirable to control the quality of industrial products. The problem considered in this paper is that of selecting subsets of polynomial terms from a given polynomial model so as to achieve "improved" response surfaces in estimation of the response. Such improvement in fitting the response surfaces would be very helpful to determine the optimum operating conditions and to explore the functional relationship with better precision. A criterion is proposed for selection of polynomial terms and illustrated with an industrial example.

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Reconstruction and Elimination of Optical Microscopic Background Using Surface Fitting Method

  • Kim Hak-Kyeong;Kim Dong-Kyu;Jeong Nam-Soo;Lee Myung-Suk;Kim Sang-Bong
    • Fisheries and Aquatic Sciences
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    • v.4 no.1
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    • pp.10-17
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    • 2001
  • One serious problem among the troubles to identify objects in an optical microscopic image is contour background due to non-uniform light source and various transparency of samples. To solve this problem, this paper proposed an elimination method of the contour background and compensation technique as follows. First, Otsu's optimal thresholding method extracts pixels representing background. Second, bilinear interpolation finds non-deterministic background pixels among the sampled pixels. Third, the 2D cubic fitting method composes surface function from pivoted background pixels. Fourth, reconstruction procedure makes a contour image from the surface function. Finally, elimination procedure subtracts the approximated background from the original image. To prove the effectiveness of the proposed algorithm, this algorithm is applied to the yeast Zygosaccharomyces rouxii and ammonia-oxidizing bacteria Acinetobacter sp. Labeling by this proposed method can remove some noise and is more exact than labeling by only Otsu's method. Futhermore, we show that it is more effective for the reduction of noise.

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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.