• Title/Summary/Keyword: Surface Fitting

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Geometric Fitting of Parametric Curves and Surfaces

  • Ahn, Sung-Joon
    • Journal of Information Processing Systems
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    • v.4 no.4
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    • pp.153-158
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    • 2008
  • This paper deals with the geometric fitting algorithms for parametric curves and surfaces in 2-D/3-D space, which estimate the curve/surface parameters by minimizing the square sum of the shortest distances between the curve/surface and the given points. We identify three algorithmic approaches for solving the nonlinear problem of geometric fitting. As their general implementation we describe a new algorithm for geometric fitting of parametric curves and surfaces. The curve/surface parameters are estimated in terms of form, position, and rotation parameters. We test and evaluate the performances of the algorithms with fitting examples.

B-spline Surface Fitting using Genetic Algorithm (유전자 알고리즘을 이용한 B-spline 곡면 피팅)

  • Le, Tat-Hien;Kim, Dong-Joon;Min, Kyong-Cheol;Pyo, Sang-Woo
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.1
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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.

Feature Extraction Algorithm from Polygonal Model using Implicit Surface Fitting (음함수 곡면 맞춤을 이용한 다각형 모델로부터 특징 추출 알고리즘)

  • Kim, Soo-Kyun
    • Journal of Korea Multimedia Society
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    • v.12 no.1
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    • pp.50-57
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    • 2009
  • This paper proposes a extraction of feature lines on a polygonal model using local implicit surface fitting technique. To extract feature lines on a polygonal model, the previous technique addressed to compute the curvature and their derivatives at mesh vertices via global implicit surface fitting. It needs a user-specified precision parameter for finding an accurate projection of the mesh vertices onto an approximating implicit surface and requires high-time consumption. But we use a local implicit surface fitting technique to estimate the local differential information near a vertex by means of an approximating surface. Feature vertices are easily detected as zero-crossings, and can then be connected along the direction of principal curvature. Our method, demonstrated on several large polygonal models, produces a good fit which leads to improved visualization.

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Strain Response of Motor Axis as Variation of Shrink Fitting (열박음 조건에 따른 전동기 회전축의 변형특성)

  • 우병철;정연호;강도현
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.9
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    • pp.532-537
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    • 2004
  • Shrink fitting is often a conventional mechanical fasteners and fastening methods with temperature difference. Localized heating of the material surface provides temporary expansion and allows slip fit assembly. The resulting interference fit exhibits exceptional strength without surface deformation at ambient temperatures. We studied an analysing method to find out a deformation of motor axis as variation of constrained method with shrink fitting.

Manufacturing and error compensation of interpolated curves and surfaces for reverse Engineering (Reverse Engineering을 위한 보간곡선, 곡면의 가공 및 오차 보정)

  • 양재봉
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1997.10a
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    • pp.230-234
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    • 1997
  • Reverse engineering involves digitizing a three-dimensional model or part converting the data to a CAD database description and manufacturing by CNC. Currently, the digitization is done through measurements taken manually by a CMM or touch probe mounted on a CNC machinetool. Some reverse engineering techniques require close integration between the data collection method and the surface-fitting algorithms. Accurate surface data are collected by input to the surface fitting method. This study has been found that both the smoothness of surfaces and accuracy of surface fitting are related with the degree of the interpolated surfaces.

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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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Surface Type Detection and Parameter Estimation in Point Cloud by Using Orthogonal Distance Fitting (최단거리 최소제곱법을 이용한 측정점군으로부터의 곡면 자동탐색)

  • Ahn, Sung-Joon
    • Korean Journal of Computational Design and Engineering
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    • v.14 no.1
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    • pp.10-17
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    • 2009
  • Surface detection and parameter estimation in point cloud is a relevant subject in CAD/CAM, reverse engineering, computer vision, coordinate metrology and digital factory. In this paper we present a software for a fully automatic surface detection and parameter estimation in unordered, incomplete and error-contaminated point cloud with a large number of data points. The software consists of three algorithmic modules each for object identification, point segmentation, and model fitting, which work interactively. Our newly developed algorithms for orthogonal distance fitting(ODF) play a fundamental role in each of the three modules. The ODF algorithms estimate the model parameters by minimizing the square sum of the shortest distances between the model feature and the measurement points. We demonstrate the performance of the software on a variety of point clouds generated by laser radar, computer tomography, and stripe-projection method.

Distortion Response of Motor Axis with Permanent Magnet as Shrink Fitting (영구자석 여자전동기 회전부 축의 열박음에 따른 변형특성)

  • Woo, Byung-Chul;Jeong, Yeon-Ho;Kang, Do-Hyun
    • Proceedings of the KIEE Conference
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    • 2003.07c
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    • pp.1451-1453
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    • 2003
  • Shrink fitting is often used to replace conventional mechanical fasteners and fastening methods. Localized heating of the mating surface provides temporary expansion and allows slip fit assembly. The resulting interference fit exhibits exceptional strength without surface deformation at ambient temperatures. We studied an analysing method to find out a deformation of motor axis with shrink fitting of thermal expansion.

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Analysis on Fitting Characteristics of a Metal-Sealing Pipe of the Hydrogen Fuel Tank for FCEV (FCEV용 고압연료탱크 메탈씰링 파이프의 체결특성 해석)

  • Lee, J.M.;Jeong, J.H.;Chon, M.S.;Lee, H.W.
    • Transactions of Materials Processing
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    • v.27 no.1
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    • pp.54-59
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    • 2018
  • In connecting parts of a hydrogen fuel cell vehicle, since the rubber ring is permeable to hydrogen, it is necessary to use a metal sealing structure which ensures leakage stability. Finite element analysis was performed to verify the fitting characteristics of the metal sealing structure, which is used to connect the pipe to a high pressure hydrogen FCEV tank. Deformation shape, contact distance and axial load were compared experimentally and these values were in agreement with each other. In the contact surface, between the pipe and the fitting body, the stress at the edge of the contact surface was higher than the center point, which was considered to be a good characteristic in view point of the leakage. The location of the contact points has almost no change in the upper part of the fitting, but that of the lower parts move downward as the fastening amount increases. The contact pressure at the lower part is maintained at the same constant level.

Thermographic assessment on temperature change of skin surface in frame fitting point (열화상 카메라를 활용한 frame fitting point의 표면 온도 분석)

  • Joo, Byung Hyuk;Park, Chang Won
    • Journal of Korean Clinical Health Science
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    • v.9 no.1
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    • pp.1462-1468
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    • 2021
  • Purpose; The purpose of this study is to objectively identify and quantify the wearer's feelings of wearing glasses. Methods: The temperature of the skin on the nose ridges and ear, and the area where the glasses were seated, was measured using a thermal imaging camera. Results: Before wearing the glasses, the temperature of the skin surface on the nasal ridge was 34.908 ± 0.875 ℃ and the temperature of the ear region was determined as 31.981 ± 0.549 ℃. The changed temperature measured at 5 minutes later after taking off the glasses showed that the nasal ridge was determined as 35.467 ± 0.342 ℃ and the ear area was determined as 32.994 ± 0.412 ℃ (p<0.05). Conclusions: In this experiment, it was revealed that the glasses cause discomfort and heat in the fitting area. It was the first attempt to study objectively and scientifically. Analysis of frame fitting points by using thermal camera is expected to be helpful when consulting a sensitive person about changes in the fit of glasses.