• Title/Summary/Keyword: Piecewise linear interpolation

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FCA 필릿 파이프 용접에서 다중 비선형 회귀 모형과 구간적 3차 에르미트 보간법을 통한 비드 형상 예측 (Expectation of Bead Shape using Non-linear Multiple Regression and Piecewise Cubic Hermite Interpolation in FCA Fillet Pipe Welding)

  • 조대원;나석주;이목영
    • Journal of Welding and Joining
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    • 제27권5호
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    • pp.42-48
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    • 2009
  • Pipe welding is used in various ranges such as civil engineering and ship building engineering. Until now, many technicians work for pipe welding manually under harmful, dangerous and difficult conditions. So it is necessary to install automation process. For automation pipe welding, relation between welding parameters & bead shape should be considered. Using this relation, bead shape could be expected from welding parameters. FCAW was used in this study. Instead of pipe workpiece, fillet joint plate is used, which were inclined 0,45,90,135,180 degree. By analyzing between welding parameters (current, welding speed, voltage) and bead shape parameters with non-linear multiple regression, bead shape parameters could be expected. Piecewise Cubic Hermite Interpolation was used to expect smooth curved bead shape with bead shape parameters. From these processes, bead shape could be expected from welding parameters.

FUZZY CONTROL AS INTERPOLATION

  • Kovalerchuk, B.;Yusupov, H.
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.1151-1154
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    • 1993
  • The purpose of the paper is to explain some heuristic, common sense suppositions of fuzzy control. It is shown that Fuzzy Control is a kind of quasilinear interpolation of prototypes. Control function can be sufficiently exact represented as piecewise-linear function. The best interpolation is connected with normalized intersected fuzzy sets.

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4차원 산포된 자료 선형 보간의 가시화 -자료 값을 고려한 사면체 분할법에 의한- (Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization)

  • 이건
    • 한국정보처리학회논문지
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    • 제3권6호
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    • pp.1553-1567
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    • 1996
  • 표면 보간법을 응용하는 분야에는 모델링 자연현상 가시화 등을 비롯하여 여러 가지를 들 수 있다. 사면체 분할법은 사차원적 표면 형성을 위한 전 처리 단계 중의 하나이다. 사차원 공간상에서 피스와이즈(piecewise) 선형보간법의 질은 삼차원에서 의 자료 점의 분포에 영향을 받을 뿐 아니라 자료 값에도 영향을 받는다. 자료 값을 고려한 사면체 분할법이 추정의 질을 개선시킬 있음을 사차원 공간의 가시화를 통하 여 보여준다. 본 논문에서는 Delaunay 사면분할법의 구 기준(Sphere criterion)과 자 료 의존형 사면체 분할법 중의 하나인 최소 제공제곱 근사기준(least squares fitting criterion)을 논의하였다. 본 논문은 또한 새로운 자료 값을 고려한 기준인 gradient difference와 jump in normal direction derivative들을 논의하였다.

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Methodology of Spatio-temporal Matching for Constructing an Analysis Database Based on Different Types of Public Data

  • Jung, In taek;Chong, Kyu soo
    • 한국측량학회지
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    • 제35권2호
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    • pp.81-90
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    • 2017
  • This study aimed to construct an integrated database using the same spatio-temporal unit by employing various public-data types with different real-time information provision cycles and spatial units. Towards this end, three temporal interpolation methods (piecewise constant interpolation, linear interpolation, nonlinear interpolation) and a spatial matching method by district boundaries was proposed. The case study revealed that the linear interpolation is an excellent method, and the spatial matching method also showed good results. It is hoped that various prediction models and data analysis methods will be developed in the future using different types of data in the analysis database.

보간 방법에 따른 언더샘플링된 광용적맥파 복원 가능성 평가 (Reconstruction of the Undersampled Photoplethysmogram with Various Interpolation Methods)

  • 신항식;김훈
    • 전기학회논문지
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    • 제65권8호
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    • pp.1418-1423
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    • 2016
  • The purpose of this research is to investigate the effect of sampling frequency on the photoplethysmography (PPG) and to evaluate the performance of interpolation methods for under-sampled PPG. We generated down-sampled PPG using 10 kHz-sampled PPG then evaluated waveshape changes with correlation coefficient. Correlation coefficient was significantly decreased at 50 Hz or below sampling frequency. We interpolated the down-sampled PPG using four interpolation method-linear, nearest, cubic spline and piecewise cubic Hermitt interpolation polynomial - then evaluated interpolation performance. As a result, it was shown that PPG waveform that was sampled over 20 Hz could be reconstructed by interpolation. Among interpolation methods, cubic spline interpolation showed the highest performance. However, every interpolation method has no or less effect on 5 Hz sampled PPG.

가변 비트율 음성 부호화기의 성능분석 (Performance Analysis of A Variable Bit Rate Speech Coder)

  • 임병관
    • 전기학회논문지
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    • 제62권12호
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    • pp.1750-1754
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    • 2013
  • A variable bit rate speech coder is presented. The coder is based on the observation that a speech signal can be viewed as a combination of piecewise linear signals in a short time period. The encoder detects the sample points where the slope of the signal changes, which are called the inflection points in this paper. The coder transmits the location and value for the detected inflection sample, but only the location information for the noninflection samples. In the decoder, the noninflection samples are estimated with interpolation of the received information. Several factors affecting the performance of the coder have been tested through simulation. Simulation results show that the linear interpolation produces 1 ~ 5 dB improvement over the cubic spline interpolation. And the -law companding does not provide any benefit when it is applied before the inflection detection. With low threshold values in the inflection point detection, the coder shows better MOS and more than 16 dB improvement in SNR compared to the continuously variable slope delta modulation (CVSDM).

On the use of flyash-lime-gypsum (FaLG) bricks in the storage facilities for low level nuclear waste

  • Sidhu, Baltej Singh;Dhaliwal, A.S.;Kahlon, K.S.;Singh, Suhkpal
    • Nuclear Engineering and Technology
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    • 제54권2호
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    • pp.674-680
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    • 2022
  • In the present study, radiation shielding and protection ability of prepared Flyash-lime-Gypsum (FaLG) bricks has been studied in terms of energy exposure build up factors and dose parameters. The energy exposure build up factors of Flyash-lime-Gypsum (FaLG) bricks have been calculated for the energy range of 0.015 MeV-15 MeV and for penetration depth upto 40 mfp directly using a new and simplified Piecewise Linear Spline Interpolation Method (PLSIM). In this new method, the calculations of G.P fitting parameters are not required. The verification and accuracy of this new method has been checked by comparing the results of exposure build up factor for NBS concrete calculated using present method with the results obtained by using G.P fitting method. Further, the relative dose distribution and reduced exposure dose rate for various radioactive isotopes without any shielding material and with Flyash-lime-Gypsum (FaLG) bricks have been calculated in the energy range of 59.59-1332 keV. On the basis of the obtained results, it has been reported that the prepared Flyash-lime-Gypsum (FaLG) bricks possess satisfactory radiation shielding properties and can be used as environmentally safe storage facilities for low level nuclear waste.

LCD 디스플레이 구동을 위한 최소 자승 근사에 의한 Quasi-Bi-Quadratic 보간법의 LUT 구현 (Implementation of Look-Up Table for Quasi-Bi-Quadratic Interpolation Based on Least Square Approximation for LCD Displays)

  • 박희범;이철희
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.425-426
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    • 2006
  • Overdriving schemes are used to improve the response time of liquid crystal display. Typically they are implemented by using LUTs (look-up table) within an image processor. However, the size of LUT is limited by the physical memory size and system cost. In this paper, we present an improved method for LUT implementation using linear interpolation and piecewise least-square polynomial regression. Using the proposed method, the performance of LUT can be improved and memory size of that can be reduced.

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Assessment and Correction of the Spectral Quality for the Savart Polarization Interference Imaging Spectrometer

  • Zhongyi Han;Peng Gao;Jingjing Ai;Gongju Liu;Hanlin Xiao
    • Current Optics and Photonics
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    • 제7권5호
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    • pp.518-528
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    • 2023
  • As an effective means of remotely detecting the spectral information of the object, the spectral calibration for the Savart polarization interference imaging spectrometer (SPIIS) is a basis and prerequisite of information quantification, and its experimental calibration scheme is firstly proposed in this paper. In order to evaluate the accuracy of the spectral information acquisition, the linear interpolation, cubic spline interpolation, and piecewise cubic interpolation algorithms are adopted, and the precision of the quadratic polynomial fitting is the highest, whose fitting error is better than 5.8642 nm in the wavelength range of [500 nm, 820 nm]. Besides, the inversed value of the spectral resolution for the monochromatic light is greater than the theoretical value, and the deviation between them becomes larger with the wavelength increasing, which is mainly caused by the structural design of the SPIIS, together with the rationality of the spectral restoration algorithm and the selection of the maximum optical path difference (OPD). This work demonstrates that the SPIIS has achieved high performance assuring the feasibility of its practical use in various fields.

혈소판 라만 스펙트럼의 효율적인 분석을 위한 기준선 보정 방법 (A Baseline Correction for Effective Analysis of Alzheimer’s Disease based on Raman Spectra from Platelet)

  • 박아론;백성준
    • 전자공학회논문지CI
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    • 제49권1호
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    • pp.16-22
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    • 2012
  • 본 논문에서는 알츠하이머병이 유도된 형질전환 마우스로부터 획득한 혈소판 라만 스펙트럼의 분석을 위해 가우시안 모델을 이용한 커브 피팅으로 기준선을 추정하고 보정하는 방법을 제안하였다. 측정된 라만 스펙트럼은 의미 있는 정보와 불필요한 노이즈 성분인 기준선과 가산 노이즈를 포함하고 있다. 스펙트럼의 효율적인 분석을 위해 노이즈를 포함하고 있는 스펙트럼을 몇 개의 피크를 포함하는 영역으로 분할하고 각 로컬 영역의 스펙트럼을 가우시안 모델을 이용한 커브 피팅으로 모델링한다. 가산 노이즈는 원 스펙트럼을 이 델로 대체하는 과정에서 명백하게 제거된다. 피팅된 모델의 로컬 최저점을 linear, piecewise cubic Hermite, cubic spline 알고리즘으로 보간하고 기준선을 보정한다. 기준선을 보정한 피팅 모델은 PCA(principal component analysis) 방법을 이용하여 특징을 추출하고 SVM(support vector machine)과 MAP(maximum $a$ posteriori probability) 분류 방법으로 성능 비교 실험을 하였다. 실험 결과에 따르면 linear 보간법이 모든 주성분 수에 대한 분류율의 평균에서 우세하였고 특히 piecewise cubic Hermite 보간법은 주성분의 수가 5개인 경우에서 SVM 분류율이 약 97.3%로 가장 좋은 성능을 보였다. 또한 이전의 연구 결과와 비교를 통해 제안한 기준선 보정 방법이 혈소판 라만 스펙트럼의 분석에 효과적으로 적용될 수 있음을 확인하였다.