• Title/Summary/Keyword: cubic spline

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A Study on Image Interpolation Using SOFM and LAM (SOFM과 LAM을 이용한 영상 보간에 관한 연구)

  • Chang, Dong-Eon;Chung, Tae-Sang
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.640-642
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    • 1998
  • When resampling an image to a new set of coordinates, there is often a noticeable loss in image quality. The interpolation kernel determines the quality of interpolation. In this paper, We think two interpolation methods: cubic-spline method, neural net method, at first study given interpolation method using spline and then present new interpolation methon using SOFM and LAM(neural net method), finally compare the performance of several interpolation methods including replication, bilinear, spline and new methods.

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Spline Surface Approximation for Computing Pit Excavation Volume with the Free Boundary Conditions

  • Jaechil Yoo;Lee, Seung-Hoon;Mun, Du-Yeoul
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2002.04a
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    • pp.229-238
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    • 2002
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to improve the accuracy of earthwork calculation. In this paper, we propose an algorithm of finding a cubic spline surface with the free boundary conditions, which interpolates the given three dimensional data, by using B-spline and an accurate method to estimate pit-excavation volume. The proposed method should be of interest to surveyors especially concerned with accuracy of volume computations. We present some computational results showing that our proposed method provides good accuracy.

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Spline Surface Approximation for Computing Pit Excavation Volume with the Free Boundary Conditions

  • Yoo, Jae-Chil;Lee, Seung-Hoon;Mun, Du-Yeoul
    • Korean Journal of Geomatics
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    • v.2 no.1
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    • pp.25-29
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    • 2002
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to improve the accuracy of earthwork calculation. In this paper, we propose an algorithm for finding a cubic spline surface with the free boundary conditions, which interpolates the given three dimensional data, by using B-spline and an accurate method to estimate pit-excavation volume. The proposed method should be of interest to surveyors especially concerned with accuracy of volume computations. We present some computational results showing that our proposed method provides good accuracy.

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High quality volume visualization using B-spline interpolation (B 스플라인 보간을 이용한 고화질 볼륨 가시화)

  • Shin, Yongha;Kye, Heewon
    • Journal of the Korea Computer Graphics Society
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    • v.22 no.3
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    • pp.1-9
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    • 2016
  • Linear interpolation is a basic sampling method for volume visualization. This method generates good images but sometimes it is inferior to our high expectation because it is encouraged to produce high quality images in the medical applications. In this paper, B spline based tri-cubic interpolation is used for the re-sampling step. The conventional B spline is an approximation method which does not cross control points so that we moved the control points and the curve crosses the original control points. In the rendering step, the empty space leaping is applicable to increase rendering speed. We have to calculate the maximum and minimum values for each block to detect empty space. The convex hull property of B spline enables the values of control points to be used as the maximum and minimum values. As a result, tri-cubic interpolated volume rendering is possible in interactive speed.

Automatic Surface Generation for Extrusion Die of Non-symmetric H- and U-shaped Sections (비축대칭 H-형 및 U-형상의 압출금형 곡면의 자동생성)

  • 임종훈;유동진;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.318-321
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    • 2003
  • In order to generate the extrusion die surface of non-symmetric H- and U-shaped sections, an automatic surface construction method based on B-spline surface and scalar field theory is proposed in this study. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections.

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Automatic Surface Generation for Extrusion Die of Complicated Sections (복잡한 형상의 압출금형 곡면의 자동생성)

  • 임종훈;유동진;권혁홍;양동열
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.197-200
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    • 2003
  • An automatic surface construction method based on B-spline surface and scalar field theory is proposed to generate the extrusion die surface of complicated sections in this paper. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections.

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Automatic Surface Generation for Extrusion Die of Non-symmetric H-and U-shaped sections (비축대칭 H-형 및 U-형상의 압출금형 곡면의 자동생성)

  • 유동진;임종훈;양동열
    • Transactions of Materials Processing
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    • v.12 no.6
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    • pp.572-581
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    • 2003
  • In this paper, an automatic surface construction method based on B-spline surface and scalar field theory is proposed to generate the extrusion die surface of non-symmetric H-and U-shaped sections. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u-and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for extrusion die of non-symmetric H-and U-shaped sections.

체공형 부양선(Aerostat) 개념설계

  • Lee, Yung-Gyo;Kim, Dong-Min;Yeom, Chan-Hong
    • Aerospace Engineering and Technology
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    • v.4 no.1
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    • pp.31-38
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    • 2005
  • Conceptual design of an Aerostat was completed. Configuration was determined based on wind tunnel test results of aeostat hulls to have longitudinal static stability. Hull surface area and volume were obtained by using of Cubic spline method for given configuration and length. Final length of a hull was determined by iteration process. Cable tension and payload were estimated for conceptual design. A parametric study was performed for various weight and misson altitude. As results, a 30m class aerostat was designed and described.

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