• Title/Summary/Keyword: 수학적 보정

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Investigation of Sensor Models for Precise Geolocation of GOES-9 Images (GOES-9 영상의 정밀기하보정을 위한 여러 센서모델 분석)

  • Hur, Dong-Seok;Kim, Tae-Jung
    • Korean Journal of Remote Sensing
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    • v.22 no.4
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    • pp.285-294
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    • 2006
  • A numerical formula that presents relationship between a point of a satellite image and its ground position is called a sensor model. For precise geolocation of satellite images, we need an error-free sensor model. However, the sensor model based on GOES ephemeris data has some error, in particular after Image Motion Compensation (IMC) mechanism has been turned off. To solve this problem, we investigated three sensor models: collinearity model, direct linear transform (DLT) model and orbit-based model. We applied matching between GOES images and global coastline database and used successful results as control points. With control points we improved the initial image geolocation accuracy using the three models. We compared results from three sensor models. As a result, we showed that the orbit-based model is a suitable sensor model for precise geolocation of GOES-9 Images.

Automated Geometric Correction of Geostationary Weather Satellite Images (정지궤도 기상위성의 자동기하보정)

  • Kim, Hyun-Suk;Lee, Tae-Yoon;Hur, Dong-Seok;Rhee, Soo-Ahm;Kim, Tae-Jung
    • Korean Journal of Remote Sensing
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    • v.23 no.4
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    • pp.297-309
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    • 2007
  • The first Korean geostationary weather satellite, Communications, Oceanography and Meteorology Satellite (COMS) will be launched in 2008. The ground station for COMS needs to perform geometric correction to improve accuracy of satellite image data and to broadcast geometrically corrected images to users within 30 minutes after image acquisition. For such a requirement, we developed automated and fast geometric correction techniques. For this, we generated control points automatically by matching images against coastline data and by applying a robust estimation called RANSAC. We used GSHHS (Global Self-consistent Hierarchical High-resolution Shoreline) shoreline database to construct 211 landmark chips. We detected clouds within the images and applied matching to cloud-free sub images. When matching visible channels, we selected sub images located in day-time. We tested the algorithm with GOES-9 images. Control points were generated by matching channel 1 and channel 2 images of GOES against the 211 landmark chips. The RANSAC correctly removed outliers from being selected as control points. The accuracy of sensor models established using the automated control points were in the range of $1{\sim}2$ pixels. Geometric correction was performed and the performance was visually inspected by projecting coastline onto the geometrically corrected images. The total processing time for matching, RANSAC and geometric correction was around 4 minutes.

Development of remedial learning program for vocational high school students focused on the area of change and relation (특성화고등학교 학생을 위한 수학과 진단평가 및 보정학습 자료 개발 연구 - '변화와 관계' 영역을 중심으로-)

  • Choe, Seung-Hyun;Hwang, Hye Jeang;Geum Cheon, Nam
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.409-434
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    • 2013
  • The mathematical ability is an essential element for achieving professional competencies and for enhancing application ability in a vocational world and exploring its experiences. In this aspect, for vocational high school students, it is an important and urgent issue to develop remedial learning programs for developing mathematical basic and application ability. In particular, the program is developed based on the individual achievement level, focused on a mathematical basic ability to be applied efficiently in a vocational world. Because of this reason, in this study, the program is comprised of two phases; one is diagnosis test and the other is remedial teaching and learning materials. Then, diagnosis test includes three test; I) level testing evaluation for selecting the subject of remedial learning, ii) pre-test for deciding on which area and level of the materials when students begin to study, and iii) post-test for confirming the learning status is satisfied and the possibility of next step(level) or the other area of the materials. To accomplish this, this study tried to devise an efficient remedial learning system. Based on the system, this study developed remedial learning programs on the four areas of number and quantity, change and relation, uncertain thing, and figure and shape in the middle school level. In particular, this program is comprised of two types of knowledge. One is K-knowledge which is an essential knowledge to achieve a basic mathematical ability. The other is C-knowledge which is the advanced knowledge required to apply efficiently in a vocational world. This paper deals with the content mentioned above, but examples of the materials is shown focused on the area of change and relation.

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Dynamic Characteristics of Composite Thin-Walled Beams with a Chord wise Asymmetric Cross-Section: I. Single-Cell (시위 방향 비대칭 단면의 복합재료 박벽보의 동특성 연구: I. 단일-셀)

  • Kim, Keun-Taek
    • Journal of Aerospace System Engineering
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    • v.12 no.6
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    • pp.41-49
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    • 2018
  • In this study, the theoretical dynamic characteristics of a thin-walled composite beam with a single-cell of chordwise asymmetric cross-section was studied. Mathematical modeling was done by considering the transverse shear effects, the warping restraint effects, the constant taper ratio in the longitudinal direction of the beam, and the geometrical cross-section ratio. The mass coefficients, stiffness coefficients, and Eigen frequencies of the selected section were investigated. In particular, the effects of the taper ratio and cross-section ratio of the model on the Eigen frequencies were analyzed and compared when the asymmetry of the section was considered and the warping function was not corrected.

A Study on an Alternative to the Standardized Scoring System in CSAT (대학수학능력시험에서 표준점수제의 개선방안에 대한 연구)

  • Hwang, Hyung-Tae
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.521-532
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    • 2005
  • In the current College Scholastic Aptitude Test (CSAT), the standardized scoring system is being adopted to adjust te differences of degrees of difficulty between the optional subjects. But it becomes clear that the system has several weak points, some of which are considered to be very serious. In this paper we propose an alternative method, so-called the additive scoring system. It determines the additional points per each subjects, according to the subject mean scores. The proposed method has been simulated using the data of 2005' CSAT, and it turns out that the additive scoring system reduces or remove the troubles caused by the standardized scoring system.

Impact of Contrast agent for Attenuation Correction Using CT Scan in PET/CT System (PET/CT 시스템에서 CT 영상을 이용한 감쇠 보정 시 조영제가 PET 영상에 미치는 영향)

  • Son, Hye-Kyung;Turkington, Timothy G;Kwon, Yun-Young;Bong, Jung-Kyun;Jung, Hai-Jo;Kim, Hee-Joung
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2004.11a
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    • pp.100-103
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    • 2004
  • Experiments and simulation were done to study the impact of contrast agent when CT scan was used to attenuation correction for PET images in PET/CT system. Whole body phantom was imaged with various concentration of iodine-based contrast agent using CT. Mathematical emission and transmission density map with liver were made to simulate for whole body FDG imaging. Various transmission density maps was generated with non-uniform enhancement of contrast agent, hypo-attenuating of contrast agent for tumor, different concentration of contrast agent, and so on. Attenuation correction was done with all transmission maps. In the experiments, we confirmed that attenuation coefficient was changed by concentration of contrast agent. From the simulation data, image quality of attenuation corrected images was affected by contrast agent and artifact was produced by contrast agent. These results indicated that the contrast agent should be used with a full understanding of its potential problem in PET/CT system.

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Probabilistic Calibration of Computer Model and Application to Reliability Analysis of Elasto-Plastic Insertion Problem (컴퓨터모델의 확률적 보정 및 탄소성 압착문제의 신뢰도분석 응용)

  • Yoo, Min Young;Choi, Joo Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1133-1140
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    • 2013
  • A computer model is a useful tool that provides solution via physical modeling instead of expensive testing. In reality, however, it often does not agree with the experimental data owing to simplifying assumption and unknown or uncertain input parameters. In this study, a Bayesian approach is proposed to calibrate the computer model in a probabilistic manner using the measured data. The elasto-plastic analysis of a pyrotechnically actuated device (PAD) is employed to demonstrate this approach, which is a component that delivers high power in remote environments by the combustion of a self-contained energy source. A simple mathematical model that quickly evaluates the performance is developed. Unknown input parameters are calibrated conditional on the experimental data using the Markov Chain Monte Carlo algorithm, which is a modern computational statistics method. Finally, the results are applied to determine the reliability of the PAD.

수능 표준점수제의 문제점 분석 및 대안 개발

  • Hwang, Hyeong-Tae
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.257-262
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    • 2005
  • 현행 대학수학능력시험에서는 영역별로 선택과목제가 본격적으로 도입되어 시행되고 있으며, 과목별 난이도의 차이를 사후적으로 보정하기 위하여 표준점수제를 도입하여 운영하고 있다. 그러나 표준점수제를 실제 운영해본 결과 적지 않은 문제점들이 드러난바 있다. 이 연구에서는 이러한 표준점수제의 문제점을 집중 분석해 보고, 이에 대한 대안으로 가산점수제를 제안하여 지난 2005 수능 결과에 적용해 보았다. 그 결과 제안된 가산점수제는 기존의 표준점수제가 갖고 있던 여러 가지 문제점들을 크게 완화하거나 해소하는 것으로 나타났다.

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Development and Application of Assessment Items for the Diagnosis of Difficulties in Learning Elementary Mathematics (초등학교 수학 학습 어려움 진단을 위한 평가 문항 개발 및 적용 연구)

  • Kim, Hee-jeong;Cho, Hyungmi;Ko, Eun-Sung;Lee, Donghwan;Cho, Jinwoo;Choi, Jisun;Han, Chaereen;Hwang, Jihyun
    • Journal of the Korean School Mathematics Society
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    • v.25 no.3
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    • pp.261-278
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    • 2022
  • The purpose of this study is to develop an assessment to diagnose difficulties in learning mathematics and misconstructions that elementary students have. With thorough theoretical background and analysis of mathematics curriculum documents, we established learning trajectories for the following content areas in grades 3 to 6: number and operation, regularity, data and chance, geometry, and measurement. Then, the research team created the assessment items targeting a specific stage in the learning trajectories and including item options to identify possible misconceptions. Based on the unified validity theory, we reported the detailed procedure of the assessment development and the evidence for the content, substance, and structural validity of the assessment. We collected the data of 675 elementary students. Rasch measurement modeling was applied, and Cronbach's alpha was estimated. We considered how to report students' assessment results to teachers appropriately and immediately, which suggested important implications for supporting teaching and learning mathematics in elementary schools. We also suggested how to use the assessment developed in this study in online and distance learning environments due to the COVID-19 pandemic.

Evaluation of Clinical Availability for Shoulder Forced Traction Method to Minimize the Beam Hardening Artifact in Cervical-spine Computed Tomography (CT) (경추부 전산화단층촬영에서 선속 경화 인공물을 최소화하기 위한 견부 강제 견인법에 대한 임상적 유용성 평가)

  • Kim, Moonjeung;Cho, Wonjin;Kang, Suyeon;Lee, Wonseok;Park, Jinwoo;Yu, Yunsik;Im, Inchul;Lee, Jaeseung;Kim, Hyeonjin;Kwak, Byungjoon
    • Journal of the Korean Society of Radiology
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    • v.7 no.1
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    • pp.37-44
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    • 2013
  • In study suggested clinical availability to shoulder forced traction method in term of quality of image, the patient's convenience and stability, according to whether to use of shoulder forced traction bend using computed tomography(CT) that X-ray calibration and various mathematic calibration algorithm application can be applied by AEC. To achieve this, 79 patients is complaining of cervical pain oriented that shoulder forced traction bend use the before and after acquires lateral projection scout image and transverse image. transverse image of a fixed size in concern field of pixel and figure the average HU value compare that quantitative analysis. Artifact and pixel and resolution to qualitative clinical estimation image analysis. the patient feel inconvenience degree that self-diagnosis survey that estimate. As a result, lateral projection scout image if you used shoulder forced traction bend for the depicted has been an increase in the number of a cervical vertebrae. transverse image concern field shoulder forced traction bend use the before and after for pixel and the average HU-value changes was judged to be almost irrelevant. Artifact and resolution and contrast, in qualitative analysis of the results relating the observer to the unusual result. So, the patients of 82.27% complained discomfort that use of shoulder forced traction bend in self-diagnosis survey. No merit of medical image by using of bend from result was analyzed quality of image to quantitative and qualitative method judged. Nowadays, CT is supplied possible revision of quality of radiation by reduction of slice and automatic exposure controller, etc and application of preconditioning filter process due to various mathematic revision algorithm. So, image noise by beam hardening artifact should not be a problem. shoulder forced traction bend of use no longer judged clinically availability because have not influence of image quality and give discomfort, have extra dangerousness.