• Title/Summary/Keyword: Curve Smoothing

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Comparison of Nonparametric Function Estimation Methods for Discontinuous Regression Functions

  • Park, Dong-Ryeon
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1245-1253
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    • 2010
  • There are two main approaches for estimating the discontinuous regression function nonparametrically. One is the direct approach, the other is the indirect approach. The major goal of the two approaches are different. The direct approach focuses on the overall good estimation of the regression function itself, whereas the indirect approach focuses on the good estimation of jump locations. Apparently, the two approaches are quite different in nature. Gijbels et al. (2007) argue that the comparison of two approaches does not make much sense and that it is even difficult to choose an appropriate criterion for comparisons. However, it is obvious that the indirect approach also has the regression curve estimate as the subsidiary result. Therefore it is necessary to verify the appropriateness of the indirect approach as the estimator of the discontinuous regression function itself. Park (2009a) compared the performance of two approaches through a simulation study. In this paper, we consider a more general case and draw some useful conclusions.

A Parametric Study of Displacement Measurements Using Digital Image Correlation Method

  • Ha, Kuen-Dong
    • Journal of Mechanical Science and Technology
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    • v.14 no.5
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    • pp.518-529
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    • 2000
  • A detailed and thorough parametric study of digital image correlation method is presented. A theoretical background and development of the method were introduced and the effects of various parameters on the determination of displacement outputs from the raw original and deformed image information were examined. Use of the normalized correlation coefficient, the use of 20 to 40 pixels for a searching window side, 6 variables searching, bi-cubic spline sub pixel interpolations and the use of coarse-fine search are some of the key choices among the results of parametric studies. The displacement outputs can be further processed with two dimensional curve fitting for the data noise reduction as well as displacement gradient calculation.

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An Active Contour Approach to Extract Feature Regions from Triangular Meshes

  • Min, Kyung-Ha;Jung, Moon-Ryul
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.5 no.3
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    • pp.575-591
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    • 2011
  • We present a novel active contour-based two-pass approach to extract smooth feature regions from a triangular mesh. In the first pass, an active contour formulated in level-set surfaces is devised to extract feature regions with rough boundaries. In the second pass, the rough boundary curve is smoothed by minimizing internal energy, which is derived from its curvature. The separation of the extraction and smoothing process enables us to extract feature regions with smooth boundaries from a triangular mesh without user's initial model. Furthermore, smooth feature curves can also be obtained by skeletonizing the smooth feature regions. We tested our algorithm on facial models and proved its excellence.

A Study on the Optimal Design for the reconstruction Filter in Single Photon Emission Computed Tomography (SPECT) (단일광자방출 전산화 단층촬영상에서 재구성 필터의 최적설계에 관한 연구)

  • 김정희;김광익
    • Journal of Biomedical Engineering Research
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    • v.18 no.2
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    • pp.113-120
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    • 1997
  • This paper presents an optimal design for the SPECT reconstruction filter, based on a physical limit of SPECT lesion detection capability. To increase the performance of the filter on lesion detectability, the filter design was focused on increasing the local SyW ratio of a threshold lesion, that was determined by minimum detectable lesion size (MDU) from SPECT lesion detectabllity contrast-detail curve. The proposed filter showed flexible window characteristics of resolution recovery and noise smoothing for MDLSs in the resolution-limited and photon-limited regions, respectively, compennting for the relative impact of the main limitation factors on threshold detectability. The simulated results showed good adaptability of the proposed filter to the changes in physical parameters of photon counts, object contrast, and detector system resolution.

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Extraction of singular points of fingerprint image using multiresolution directional information (다해상도 방향성 정보를 이용한 지문영상의 특이점 추출)

  • 이준재;심재창;황석윤;남재열;이주형
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.5
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    • pp.928-938
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    • 1997
  • We propose an algorithm for extracting singular points of fingerprint image using directional information. First, we extract the candidates of singular points using Poincare index in two(lower and higher) resolutional directional images. Then we remove the false singular points using smoothing technique from lower resolutional directional image. And finally we select the singular points in higher resolution corresponding to those in lower resolution. The possible missing points in lower resolution are found by computing Poincare index algong the proposed small curve. And the reliable points are selected from analysis around them. We also propose a method for segmentation of fingerprint as preprocessing step to enhance the computational speed and the performance of system.

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The Shape Optimization of a Torque Converter Lock-up Clutch Using the B-Spline and Finite Element Mesh Smoothing (B-Spline 및 유한요소 유연화법 활용 자동차 록업클러치의 형상최적화)

  • Hyun, Seok-Jeong;Kim, Cheol;Son, Jong-Ho;Shim, Se-Hyun;Jang, Jae-Duk;Joo, In-Sik
    • Transactions of the Korean Society of Automotive Engineers
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    • v.12 no.3
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    • pp.101-108
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    • 2004
  • A FEM-based efficient method is developed for the shape optimization of 2-D structures. The combined SLP and Simplex method are coupled with finite element analysis. Selected set of master nodes on the design boundaries are employed as design variables and assigned to move towards their normal directions. The other nodes along the design boundaries are grouped into the master node. By interpolating the repositioned master nodes, the B-spline curves are formed so that the rest mid-nodes efficiently settle down on the B-spline curves. Mesh smoothing scheme is also applied for the nodes on the design boundary to maintain most finite elements in good quality. Finally, a numerical implementation of optimum design of an automobile torque converter piston subjected to pressure and centrifugal loads is presented. The results shows additional weight up to 13% may be saved after the shape optimization.

Decision function for optimal smoothing parameter of asymmetrically reweighted penalized least squares (Asymetrically reweighted penalized least squares에서 최적의 평활화 매개변수를 위한 결정함수)

  • Park, Aa-Ron;Park, Jun-Kyu;Ko, Dae-Young;Kim, Sun-Geum;Baek, Sung-June
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.3
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    • pp.500-506
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    • 2019
  • In this study, we present a decision function of optimal smoothing parameter for baseline correction using Asymmetrically reweighted penalized least squares (arPLS). Baseline correction is very important due to influence on performance of spectral analysis in application of spectroscopy. Baseline is often estimated by parameter selection using visual inspection on analyte spectrum. It is a highly subjective procedure and can be tedious work especially with a large number of data. For these reasons, an objective procedure is necessary to determine optimal parameter value for baseline correction. The proposed function is defined by modeling the median value of possible parameter range as the length and order of the background signal. The median value increases as the length of the signal increases and decreases as the degree of the signal increases. The simulated data produced a total of 112 signals combined for the 7 lengths of the signal, adding analytic signals and linear and quadratic, cubic and 4th order curve baseline respectively. According to the experimental results using simulated data with linear, quadratic, cubic and 4th order curved baseline, and real Raman spectra, we confirmed that the proposed function can be effectively applied to optimal parameter selection for baseline correction using arPLS.

Algorithm for Identifying Highway Horizontal Alignment using GPS/INS Sensor Data (GPS/INS 센서 자료를 이용한 도로 평면선형인식 알고리즘 개발)

  • Jeong, Eun-Bi;Joo, Shin-Hye;Oh, Cheol;Yun, Duk-Geun;Park, Jae-Hong
    • International Journal of Highway Engineering
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    • v.13 no.2
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    • pp.175-185
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    • 2011
  • Geometric information is a key element for evaluating traffic safety and road maintenance. This study developed an algorithm to identify horizontal alignment using global positioning system(GPS) and inertial navigation system(INS) data. Roll and heading information extracted from GPS/INS were utilized to classify horizontal alignment into tangent, circular curve, and transition curve. The proposed algorithm consists of two components including smoothing for eliminating outlier and a heuristic classification algorithm. A genetic algorithm(GA) was adopted to calibrate parameters associated with the algorithm. Both freeway and rural highway data were used to evaluate the performance of the proposed algorithm. Promising results, which 90.48% and 88.24% of classification accuracy were obtainable for freeway and rural highway respectively, demonstrated the technical feasibility of the algorithm for the implementation.

AWGN Removal using Laplace Distribution and Weighted Mask (라플라스 분포와 가중치 마스크를 이용한 AWGN 제거)

  • Park, Hwa-Jung;Kim, Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.12
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    • pp.1846-1852
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    • 2021
  • In modern society, various digital devices are being distributed in a wide range of fields due to the fourth industrial revolution and the development of IoT technology. However, noise is generated in the process of acquiring or transmitting an image, and not only damages the information, but also affects the system, causing errors and incorrect operation. AWGN is a representative noise among image noise. As a method for removing noise, prior research has been conducted, and among them, AF, A-TMF, and MF are the representative methods. Existing filters have a disadvantage that smoothing occurs in areas with high frequency components because it is difficult to consider the characteristics of images. Therefore, the proposed algorithm calculates the standard deviation distribution to effectively eliminate noise even in the high frequency domain, and then calculates the final output by applying the probability density function weight of the Laplace distribution using the curve fitting method.

Vehicle Longitudinal Brake Control with Wheel Slip and Antilock Control (바퀴 슬립과 잠김 방지 제어를 고려한 차량의 종렬 브레이크 제어)

  • Liang Hong;Choi Yong-Ho;Chong Kil-To
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.6
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    • pp.502-509
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    • 2005
  • In this paper, a 4-wheel vehicle model including the effects of tire slip was considered, along with variable parameter sliding control, in order to improve the performance of the vehicle longitudinal response. The variable sliding parameter is made to be proportional to the square root of the pressure derivative at the wheel, in order to compensate for large pressure changes in the brake cylinder. A typical tire force-relative slip curve for dry road conditions was used to generate an analytical tire force-relative slip function, and an antilock sliding control process based on the analytical tire force-relative slip function was used. A retrofitted brake system, with the pushrod force as the end control parameter, was employed, and an average decay function was used to suppress the simulation oscillations. The simulation results indicate that the velocity and spacing errors were slightly larger than those obtained when the wheel slip effect was not considered, that the spacing errors of the lead and follower were insensitive to the adhesion coefficient up to the critical wheel slip value, and that the limit for the antilock control under non-constant adhesion road conditions was determined by the minimum value of the equivalent adhesion coefficient.