• Title/Summary/Keyword: 3차 스플라인

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Salt and Pepper Noise Removal using Cubic Spline Interpolation (3차 스플라인 보간법을 이용한 Salt and Pepper 잡음 제거)

  • Kwon, Se-Ik;Kim, Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.10
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    • pp.1955-1960
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    • 2016
  • Currently, with the rapid development in digital era, the image equipment related to multi-media is becoming commercialized. However, in the process of transmitting image data, deterioration occurs due to various causes, and the most representative deterioration is salt and pepper noise. There are many methods of eliminating salt and pepper noise such as SWMF, RSIF, MNRF, which are rather insufficient in eliminating noise in high-density slat and pepper noise environment. Therefore, in order to eliminate salt and pepper noise, this thesis proposes an algorithm by first judging the noise, and when the center pixel value is non-noise, the original pixel is preserved, and when it is noise, the partial mask is subdivided into 4 directions to apply cubic spline interpolation to the direction with most non-noise pixels. Also, for the objective judgement, it was compared to existing methods, and the PSNR(peak signal to nise ratio) was set as the judgement standard.

Modelling the wide temperature range of steam table using the neural networks (신경회로망을 사용한 넓은 온도 범위의 증기표 모델링)

  • Lee, Tae-Hwan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.11
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    • pp.2008-2013
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    • 2006
  • In numerical analysis on evaluating the thermal performance of the thermal equipment, numerical values of thermodynamic properties such as temperature, pressure, specific volume, enthalpy and entropy are required. But the steam table itself cannot be used without modelling. In this study applicability of neural networks in modelling the wide temperature range of wet saturated vapor region was examined. the multi-layer neural network consists of a input layer with 1 node, two hidden layers with 10 and 20 nodes respectively and a output layer with 6 nodes. Quadratic and cubic spline interpoations methods were also applied for comparison. Neural network model revealed similar percentage error to spline interpolation. From these results, it is confirmed that the neural networks could be powerful method in modelling the wide range of the steam table.

On the Reclamation Earthwork Calculation using the Hermite and Spline Function (Hermite와 Spline 함수를 이용한 매립토공량 계산)

  • Mun, Du-Yeoul;Lee, Yong-Hee;Lee, Mun-Jae
    • Journal of Navigation and Port Research
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    • v.26 no.4
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    • pp.473-479
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    • 2002
  • The estimation of the volume of a pit excavation is often required in many surveying, soil mechanics, highway applications and transportation engineering situations. The calculation of earthwork plays a major role in plan or design of many civil engineering projects such as seashore reclamation, and thus it has become very important to improve the accuracy of earthwork calculation. In this paper the spot height method, proposed formulas(A, B, C), and chen and Line method are compared with the volumes of the pits in these examples. And we proposed an algorithm of finding a terrain surface with the free boundary conditions and both direction spline method drawback, i.e., the modeling curves form peak points at the joints. To avoid this drawback, the cubic spline polynomial was chosen as the methematical model of the new method. From the characteristics of the cubic spline polynomial, the modeling curve of the new method was smooth and matched the ground profile well. As a result of this study, algorithm of proposed three methods to estimate pit excavation volume provided a better accuracy than spot height, chamber, chen and Lin method. And the mathematical model mentioned makes is thought to give a maximum acccuracy in estimating the volume of a pit excavation.

Estimation of Uncertain Past and Future Locations of Moving objects (이동 객체의 불확실한 과거 및 미래의 위치 추정)

  • 안윤애;류근호
    • Journal of KIISE:Databases
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    • v.29 no.6
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    • pp.441-452
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    • 2002
  • If continuous moving objects are managed by conventional database, it is not possible for them to store all position information changed over time in the database. Therefore, a time period of regular rate is determined and position information of moving objects are discretely stored in the system for every time period. However, if continuous moving objects are managed as discrete model, we will have problems which cannot properly answer to the query about uncertain past or future position information. To solve this problem, in this paper, we propose the method and algorithm which use the history information stored in the same database, to estimate the past or future location of moving objects. The cubic spline interpolation is used to estimate the past location and the mean movement value of the history information is used to predict the future location of moving objects. Finally, from the location estimation experimentation of using virtual trajectory and location sample, we proved that the proposed cubic spline function has less error than the linear function.

Implementation of a 3D Mesh Editor for Smooth Surface Fitting (부드러운 곡면 근사를 위한 3차원 메쉬 편집기의 구현)

  • 신복숙;우영운
    • Proceedings of the Korea Multimedia Society Conference
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    • 2001.06a
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    • pp.425-428
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    • 2001
  • 본 논문에서 구현한 메쉬 편집기는 편집할 메쉬의 몇몇 점을 편집할 경우, 편집 정보가 그 점에 이웃한 점들에게도 영향을 미치게 되어, 편집 결과가 근사된 부드러운 곡면으로 표현하도록 하는 데 있다. 그러기 위해서는 3차원의 메쉬를 2차원 평면으로 매핑할 때, 매핑되는 원래의 메쉬의 모양이 크게 변형되지 않도록 하여야 하는데, 여기에 모양 유지 매개 변수화 방법을 사용하고 있다. 편집에 사용된 점의 편집 정보는 2차원 평면 다각형 안에 있는 서로 대응되는 점으로 매핑 되고, B-스플라인 보간으로 편집 정보는 2차 평면 안에 있는 다른 점들에게도 영향을 주게 된다. 이런 결과는 3차원 메쉬로 환원되어 부드럽게 근사된 곡면으로 표현된다.

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A Scheme for Computing Time-domain Electromagnetic Fields of a Horizontally Layered Earth (수평다층구조에 대한 시간영역 전자기장의 계산법)

  • Jang, Hangilro;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.16 no.3
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    • pp.139-144
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    • 2013
  • A computer program has been developed to estimate time-domain electromagnetic (EM) responses for a onedimensional model with multiple source and receiver dipoles that are finite in length. The time-domain solution can be obtained by applying an inverse fast Fourier transform (FFT) to frequency-domain fields for efficiency. Frequency-domain responses are first obtained for 10 logarithmically equidistant frequencies per decade, and then cubic spline interpolated to get the FFT input. In the case of phases, the phase curve must be made to be continuous prior to the spline interpolation. The spline interpolated data are convolved with a source current waveform prior to FFT. In this paper, only a step-off waveform is considered. This time-domain code is verified with an analytic solution and EM responses for a marine hydrocarbon reservoir model. Through these comparisons, we can confirm that the accuracy of the developed program is fairly high.

A study on the improved de-interlacing applying third order spline interpolation for horizontal direction and ELA (수평방향의 3차 스플라인 보간과 ELA을 이용한 개선된 디인터레이싱 연구)

  • Baek, Kyung-Hoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.1
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    • pp.696-701
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    • 2017
  • This paper proposes an improved de-interlacing method that converts interlaced images into progressive images from one field. First, it calculates inter-pixel values applying third-order spline interpolation for the horizontal direction from four upper lower pixel values of missing pixels. From inter-pixel values obtained from spline interpolation and upper lower pixels with value, the proposed method makes an accurate estimate of the direction by applying the correlation between upper and lower pixels. The correlation between upper and lower pixels is calculated in nine directions of a missing pixel by using values obtained from spline interpolation and pixels with value. The direction of an edge is determined as the direction in which the correlation between upper and lower pixels is at its minimum. Thus, a missing pixel is calculated by taking the average of upper lower pixels obtained from the predicted direction of an edge. From the simulation results, there are problems in that it takes a bit more time for processing, but it is expected that the time problem will be improved by increasing CPU processing speed. As for image quality, it is shown that the proposed method improves both subjective and objective image quality and quantitatively improves picture signal-to-noise ratio (PSNR) in the range between 0.1 dB to 0.5 dB, as compared with previously presented de-interlacing methods.

The Variables of Surface of Revolution and its effects on Human Visual Preference (회전체의 특성이 시각적 선호에 미치는 영향)

  • Park, Heeyoung;Kim, Cheongtag;Park, Youngjin
    • Journal of the Korea Computer Graphics Society
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    • v.28 no.4
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    • pp.31-40
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    • 2022
  • This study assumed two key parameters that describe smoothness. Previously, the number of studies that defined smoothness with the concept of curvature has been limited. The parameters were the two physical characteristics of curvature: the number of waves and the amplitude of them. The purpose of the study was to observe which of the two parameters influences the perception of smoothness and to examine the relationship between the sense of aesthetic beauty and smoothness. The visual stimuli used in the study were transformed three-dimensional spheres, based on the combination of the three levels of the two parameters of nine distinct conditions. We analyzed the three responses that measured the preference of each visual stimuli, the familiarity score, and the smoothness evaluation score, each with the linear mixed model whose fixed effects were the two parameters and random effects were the participants' individual differences. Nearly the eighty percent of the variance of the smoothness evaluation score was explained by the linear model with the two key parameters and their interaction. The physical characteristics of a viewed object were far more significant than individual differences such as personality factors and the manner of art appreciation. In conclusion, the study examined the perception of smoothness based on the change of the physical characteristics of a shape. The study further recognized the relationship between smoothness and the aesthetic preference. No significant influence of the participants' individual difference such as gender, the degree in fine arts, personality factors, and the manner of art appreciation was observed. The amplitude of waves, rather than the number of them, was far more significant to the perception of smoothness.

Salt and Pepper Noise Removal using 2-Dimensional Spline Interpolation (2차원 스플라인 보간법을 이용한 Salt and Pepper 잡음 제거)

  • Kwon, Se-Ik;Kim, Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.21 no.6
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    • pp.1167-1173
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    • 2017
  • As the society increasingly embraces the high - tech digital information age, the field of image processing becomes progressively more branched out and becoming an imperative field. However, image data is deteriorated due to various causes during transmission and salt and pepper noise is typical. Typical methods for removing salt and pepper noise include CWMF, SWMF, and A-TMF. However, existing methods are somewhat insufficient in their ability to remove noise in salt and pepper noise environments. Therefore, in this paper, after it is determined whether noise removal is needed, the following measures were taken. If the center pixel was non-noise, the original pixel was preserved, If it was noise, we proposed a two - dimensional spline interpolation method and a median filter depending on the noise density of the local mask. For the purpose of objective judgment, we compared the results with that of existing methods and used PSNR (peak signal to noise ratio) as a judgment criterion.

Estimation of Uncertain Moving Object Location Data

  • Ahn Yoon-Ae;Lee Do-Yeol;Hwang Ho-Young
    • Journal of the Korea Computer Industry Society
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    • v.6 no.3
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    • pp.495-508
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    • 2005
  • Moving objects are spatiotemporal data that change their location or shape continuously over time. Their location coordinates are periodically measured and stored i3l the application systems. The linear function is mainly used to estimate the location information that is not in the system at the query time point. However, a new method is needed to improve uncertainties of the location representation, because the location estimation by linear function induces the estimation error. This paper proposes an application method of the cubic spline interpolation in order to reduce deviation of the location estimation by linear function. First, we define location information of the moving object on the two-dimensional space. Next, we apply the cubic spline interpolation to location estimation of the proposed data model and describe algorithm of the estimation operation. Finally, the precision of this estimation operation model is experimented. The experimentation comes out more accurate results than the method by linear function.

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