• 제목/요약/키워드: Spline interpolation

검색결과 271건 처리시간 0.036초

물의 과열증기 모델링에 대한 신경회로망과 스플라인법 비교 (Comparison of the neural networks with spline interpolation in modelling superheated water)

  • 이태환;박진현;김봉환
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2007년도 추계종합학술대회
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    • pp.246-249
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    • 2007
  • 상변화 물질을 취급하는 수치해석에서는 온도, 압력, 체적, 엔탈피, 엔트로피 등의 열역학적 성질들의 수치값이 필요하다. 그러나 열역학적 성질들은 증기표나 선도 등의 형태로 주어지기 때문에 그대로 이용할 수는 없고 모델링하여 사용하여야 한다. 본 연구에서는 2차 스플라인 보간법과 비교함으로써, 과열증기의 모델링에 신경회로망의 적용 가능성을 검토하였다. 신경회로망은 온도와 압력, 2개의 입력에 대하여 비체적, 엔탈피 및 엔트로피, 3개의 출력을 얻을 수 있도록 입력층, 은닉층 및 출력층으로 구성되었다. 스플라인 보간법은 2차 다항식을 사용하였으며, 주어진 압력에 대한 소구간의 온도에 적용하였다. 신경회로망 모델링은 많은 출력 범위에서 2차 스플라인 보간법보다 우수한 백분율 오차를 보였으며, 이 결과로부터 과열증기 모델링에 신경회로망이 아주 강력한 방법임을 확인하였다.

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흉부 CT 영상의 형태학적 정보 및 Spline 보간법을 이용한 폐 및 기관지 분할 알고리즘 (Lung and Airway Segmentation using Morphology Information and Spline Interpolation in Lung CT Image)

  • 조준호;김정철
    • 방송공학회논문지
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    • 제18권5호
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    • pp.702-712
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    • 2013
  • 본 논문은 흉부 CT 영상에서 폐 흉벽에 결절 및 폐혈관이 붙어 있는 경우에도 폐 정보의 손실 없이 폐와 기관지를 분리할 수 있는 알고리즘을 제안 하였다. 마스크 영상의 활용은 폐 및 기관지 분할에서 시간 단축 및 성능을 향상 시킬 수 있었다. 또한 폐 흉벽과 밝기값이 같은 결절을 찾아 제거 하는 방법은 좌 우측폐의 외곽 영상을 2진 영상으로 변환하고, 형태학적 정보를 활용함으로써 가능 하였다. 마지막으로 제거된 부분의 외곽선 연결은 거리가 고려된 최적 화소 추가와 3차 Spline 보간법을 적용하였다. Matlab 시뮬레이션 결과 제안된 알고리즘은 기존 문제점이 보완됨을 확인 할 수 있었다.

Stateline 개념을 이용한 이송장치에서 오차평가기준 (Error criteria in stateline concept based contouring system)

  • 정병규;최우천
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1621-1625
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    • 2007
  • This paper examines the interpolation algorithms and error criteria using stateline based control architectures that is proposed in the University of British Columbia. The main purpose of this paper is checking the influences of jerk in error criteria and judging several interpolation algorithms that are used for positioning. The performance of the extended error criteria and interpolation algorithm are demonstrated by simulation. It is found that a slight improvement was achieved by applying jerk in the error checking criteria and that spline interpolation yields stable result.

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유체-구조 연계 해석을 위한 보간 기법 연구 (A STUDY ON THE INTERPOLATION METHODS FOR THE FLUID-STRUCTURE INTERACTION ANALYSIS)

  • 이재훈;권장혁
    • 한국전산유체공학회지
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    • 제13권1호
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    • pp.41-48
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    • 2008
  • The fluid-structure interaction analysis such as a static aeroelastic analysis requires the result of each analysis as an input to the other analysis. Usually the grids for the fluid analysis and the structural analysis are different, so the results should be transformed properly for each other. The Infinite Plate Spline(IPS) and the Thin Plate Spline(TPS) are used in interpolating the displacement and the pressure. In this study, such interpolation methods are compared with kriging which provides a precise response surface. The static aeroelastic analysis is performed for the supersonic flow field with shock waves and the pressure field is interpolated by the TPS and kriging. The TPS shows tendency to weaken the shock strength, whereas kriging preserves the shock strength.

공탄성 해석을 위한 보간 기법 비교 연구 (COMPARATIVE STUDY ON THE INTERPOLATION METHODS FOR THE AEROELASTIC ANALYSIS)

  • 이재훈;권장혁
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.141-144
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    • 2005
  • The fluid-structure interaction analysis such as a static aeroelastic analysis requires the result of each analysis as an input to other analysis. Usually the grids for the fluid analysis and the structural analysis are different, so the results should be transformed properly for each other. The Infinite Plate Spline(IPS) and the Thin Plate Spline(TPS) are used in interpolating the displacement and the pressure. In this study, such interpolation methods are compared with kriging which provides a precise response surface. The static aeroelastic analysis is performed for the supersonic flow field with shock waves and the pressure field is interpolated by the TPS and kriging. The TPS shows tendency to weaken the shock stength, whereas kriging preserves the shock strength.

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육면형 병렬공작기계의 보간기 설계 (Interpolator Design for Cubic Parallel Manipulator)

  • 김현;홍대희;최우천;송재복
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.492-495
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    • 2001
  • In order to utilize a parallel machine tool for CAM system, the development of adequate interpolator is necessary. This paper presents a quintic B-spline interpolator with algorithm of limiting maximum interpolation error. The favored property of near arc-length parametrization in the curve representation is used in the implementation of the reference command generation. Then, this interpolator is applied to cubic parallel manipulator to show its validity.

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AN ELEMENTARY PROOF OF THE OPTIMAL RECOVERY OF THE THIN PLATE SPLINE RADIAL BASIS FUNCTION

  • KIM, MORAN;MIN, CHOHONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권4호
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    • pp.409-416
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    • 2015
  • In many practical applications, we face the problem of reconstruction of an unknown function sampled at some data points. Among infinitely many possible reconstructions, the thin plate spline interpolation is known to be the least oscillatory one in the Beppo-Levi semi norm, when the data points are sampled in $\mathbb{R}^2$. The traditional proofs supporting the argument are quite lengthy and complicated, keeping students and researchers off its understanding. In this article, we introduce a simple and short proof for the optimal reconstruction. Our proof is unique and reguires only elementary mathematical background.

중첩 격자계를 이용한 동익과 정익의 상호작용이 있는 익렬 유동해석 (Numerical Simulation of Cascade Flows with Rotor-Stator Interaction Using the Multiblocked Grid)

  • 정영래;박원규;이상욱
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 1999년도 유체기계 연구개발 발표회 논문집
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    • pp.163-169
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    • 1999
  • The numerical procedure has been developed for simulating incompressible viscous flow around a turbine stage with rotor-stator interaction. This study solves 2-D unsteady incompressible Navier-Stokes equations on a non-orthogonal curvilinear coordinate system. The Marker-and-Cell concept is applied to efficiently solve continuity equation. To impose an accurate boundary condition, O-H multiblocked grid system is generated. O-type grid and H-type grid is generated near and outer rotor-stator The cubic-spline interpolation is applied to handle a relative motion of a rotor to the stator. Turbulent flows have been modeled by the Baldwin- Lomax turbulent model. To validate present procedure, the time averaged pressure coefficients around the rotor and stator are compared with experiment and a good agreement obtained.

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B-스플라인 곡면기법을 이용한 압출금형 곡면의 표현방법에 관한 연구 (Investigation on the Description Method of Extrusion Die Surface using B-Spline Surface Scheme)

  • 유동진;임종훈
    • 소성∙가공
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    • 제12권2호
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    • pp.142-150
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    • 2003
  • To construct the extrusion die surface, a B-Spline surface scheme based on the cubic B-Spline curve interpolation method is proposed in the present work. The inlet and outlet profiles are described with B-Spline curves by using the centripetal method for uniform parameterization. The interior control points of surface are generated using the derivative characteristics of B-Spline curve. A complete B-Spline surface is constructed by using appropriate coordinate transformation and knot deletion. In the present study, a quantitative measure for the control of surface is suggested by introducing the tangential vector and inclination angles at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for the various types of extrusion die surface.

Bicubic Patch체 의한 보간곡면의 모델링 및 가공에 관한 연구

  • 이진모;이동주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 춘계학술대회 논문집
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    • pp.1025-1030
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    • 1997
  • In this study,the procedure of interpolation surface modeling on bicubic spline patch equation and NC machining are presented. The procedure consists of three parts : patch modeling,cutter location data generation,post processing and NC milling machining. For generation of the cutter location data,tangent vectors and units normal vectors on the patch must be calculated. In order to investigate the properties of the interpolation surface created by bicubic spline patch, two kinds of end conditions, clamped end condition and relaxed end condition,were applied in this study. The shape of the patch depends on the magnitide of the tangent vectors and twist vectors at the corners of bicubic surface patch. the patch generated by relaxed end condition more approximated to the surface patch which was given.

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