• Title/Summary/Keyword: basic error

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Research on the Basic Rodrigues Rotation in the Conversion of Point Clouds Coordinate System

  • Xu, Maolin;Wei, Jiaxing;Xiu, Hongling
    • Journal of Information Processing Systems
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    • v.16 no.1
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    • pp.120-131
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    • 2020
  • In order to solve the problem of point clouds coordinate conversion of non-directional scanners, this paper proposes a basic Rodrigues rotation method. Specifically, we convert the 6 degree-of-freedom (6-DOF) rotation and translation matrix into the uniaxial rotation matrix, and establish the equation of objective vector conversion based on the basic Rodrigues rotation scheme. We demonstrate the applicability of the new method by using a bar-shaped emboss point clouds as experimental input, the three-axis error and three-term error as validate indicators. The results suggest that the new method does not need linearization and is suitable for optional rotation angle. Meanwhile, the new method achieves the seamless splicing of point clouds. Furthermore, the coordinate conversion scheme proposed in this paper performs superiority by comparing with the iterative closest point (ICP) conversion method. Therefore, the basic Rodrigues rotation method is not only regarded as a suitable tool to achieve the conversion of point clouds, but also provides certain reference and guidance for similar projects.

A Method for Considering Performance Shaping Factors in Quantitative Human Error Analysis (정량적 인적오류 분석에서 수행도형성인자를 고려하기 위한 방법)

  • 정광태
    • Journal of the Korean Society of Safety
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    • v.12 no.1
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    • pp.113-121
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    • 1997
  • Human reliability attempts to make precise quantitative analyses and predictions of the performance of human-machine(or product) systems. In order to yield more precise human error analysis, precise human error probabilities(HEPs) must be used in the analysis. However, because human behavior is influenced by factors that are called performance shaping factors(PSFs), the effects of PSFs must be considered to obtain precise HEPs, These are called basic HEPs or situation-specific HEPs. This paper presents a theoretical method for obtaining basic HEPs (i.e. , considering PSFs) in quantitative human error analysis. In this method, the weight which characterizes the degree of importance of several PSFs is obtained by the analytic hierarchy process. The quality scores of PSFs in the task situation are obtained by percentile concept. These scores are used in conjunction with the relative Importance weights of PSFs to compute the composite quality percentile score of PSFs in the task situation. Then, a new mapping method of the composite quality percentile score of PSFs into a situation-specific basic HEP is proposed with a numerical example.

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A Study on the Influence of Construction Safety Education on Unstable Behavior (건설안전교육이 불안전한 행동에 미치는 영향에 관한 연구)

  • Kim, Young Kweon;Park, Jong Young;Kim, Sung Eun
    • Journal of the Society of Disaster Information
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    • v.17 no.1
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    • pp.154-164
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    • 2021
  • Purpose: Ten years after basic safety and health education in the construction industry has been implemented, no more maintenance education has been provided, and those who have completed basic safety and health education are exempt from new employee education. As soon as possible, we will seek strategic measures to prevent unstable behavior and prevent safety accidents by legislating conservative education and new recruitment education. Method: In this study, basic safety and health education, which is construction safety education, and human error, which is unstable behavior of new employees, and structural relationship between violation behavior were conducted through survey. Result: The survey analyzed that basic safety and health education in the construction industry and new recruitment education had a significant impact on the human factors of the disaster, Human Error, and the reduction of violations, and confirmed that continuous safety education could increase safety awareness. Conclusion: The insolvency of safety education shall be prevented by the revision of the Act on the remuneration of basic safety and health education and the education of new employees.

Error Compensation Algorithm for Higher Surface Accuracy of Freeform Mirrors Based On the Method of Least Squares

  • Jeong, Byeongjoon;Pak, Soojong;Kim, Sanghyuk;Lee, Kwang Jo;Chang, Seunghyuk;Kim, Geon Hee;Hyun, Sangwon;Jeon, Min Woo
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.2
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    • pp.40.1-40.1
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    • 2015
  • Off-axis reflective optical systems have attractive advantages relative to their on-axis or refractive counterparts, for example, zero chromatic aberration, no obstruction, and a wide field of view. For the efficient operation of off-axis reflective system, the surface accuracy of freeform mirrors should be higher than the order of wavelengths at which the reflective optical systems operate. Especially for applications in shorter wavelength regions, such as visible and ultraviolet, higher surface accuracy of freeform mirrors is required to minimize the light scattering. In this work, we propose the error compensation algorithm (ECA) for the correction of wavefront errors on freeform mirrors. The ECA converts a form error pattern into polynomial expression by fitting a least square method. The error pattern is measured by using an ultra-high accurate 3-D profilometer (UA3P, Panasonic Corp.). The measured data are fitted by two fitting models: Sag (Delta Z) data model and form (Z) data model. To evaluate fitting accuracy of these models, we compared the fitted error patterns with the measured error pattern.

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ERROR ESTIMATES OF PHYSICS-INFORMED NEURAL NETWORKS FOR INITIAL VALUE PROBLEMS

  • JIHAHM YOO;JAYWON KIM;MINJUNG GIM;HAESUNG LEE
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.28 no.1
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    • pp.33-58
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    • 2024
  • This paper reviews basic concepts for Physics-Informed Neural Networks (PINN) applied to the initial value problems for ordinary differential equations. In particular, using only basic calculus, we derive the error estimates where the error functions (the differences between the true solution and the approximations expressed by neural networks) are dominated by training loss functions. Numerical experiments are conducted to validate our error estimates, visualizing the relationship between the error and the training loss for various first-order differential equations and a second-order linear equation.

QUADRATURE ERROR OF THE LOAD VECTOR IN THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.735-748
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    • 1998
  • We analyze the error in the p version of the of the finite element method when the effect of the quadrature error is taken in the load vector. We briefly study some results on the $H^{1}$ norm error and present some new results for the error in the $L^{2}$ norm. We inves-tigate the quadrature error due to the numerical integration of the right hand side We present theoretical and computational examples showing the sharpness of our results.

Implementation of High Reliable Fault-Tolerant Digital Filter Using Self-Checking Pulse-Train Residue Arithmetic Circuits (자기검사 Pulse별 잉여수연산회로를 이용한 고신뢰화 Fault Tolerant 디지털필터의 구성에 관한 연구)

  • 김문수;손동인;전구제
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.2
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    • pp.204-210
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    • 1988
  • The residue number system offers the possibility of high-speed operation and error detection/correction because of the separability of arithmetic operations on each digit. A compact residue arithmetic module named the self-checking pulse-train residue arithmetic circuit is effectively employed as the basic module, and an efficient error detection/correction algorithm in which error detection is performed in each basic module and error correction is performed based on the parallelism of residue arithmetic is also employed. In this case, the error correcting circuit is imposed in series to non-redundant system. This design method has an advantage of compact hardware. Following the proposed method, a 2nd-order recursive fault-tolerant digital filter is practically implemented, and its fault-tolerant ability is proved by noise injection testing.

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Correlation between the education evaluation materials of basic mathematics and analysis of the error types in freshmen of a university (대학 신입생들의 수학 기초학력 평가자료들 간의 상관관계 및 오류 유형 분석)

  • Jang, Min Woo;Pyo, Yong-Soo
    • East Asian mathematical journal
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    • v.32 no.4
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    • pp.501-518
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    • 2016
  • In this paper, we analyzed the correlation among scores of the mathematics B-type grade of College Scholastic Ability Test(CSAT), scores of Mathematics Level Assessment(MLA) and written test scores of Basic Mathematics Subject(BMS) made by students. Especially, we examined the relationship between CSAT grade with results of MLA and results of BMS through survey of students who changed their grades and learned about reasons. In addition, we analyzed error types for the descriptive problem solving in BMS written tests..

A Study on the Understanding and Errors of the Logarithmic Function in High School Students (고등학교 학생들의 로그함수에 대한 이해도 및 오류에 관한 연구)

  • 이경숙;김승동
    • Journal of the Korean School Mathematics Society
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    • v.5 no.1
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    • pp.111-122
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    • 2002
  • The purpose of this study was to examine high school second graders' understanding of the basic nature of logarithm, the major type of error they made about logarithmic function and the cause of such an error, and to seek ways to instruct it better. For that purpose, three research questions were posed: 1. Investigate how much high school students in their second year comprehend the nature of logarithm. 2. Analyze what type of error they make about logarithmic function. 3. Analyze the cause of their error according to the selected error models and how it could be taught more efficiently. The findings of this study were as below: First, the natural science students had a better understanding of the basic nature of logarithm than the academic students. What produced the widest gap between the two groups' understanding was applying the nature of logarithm to the given problems, and what caused the smallest gap was the definition of logarithm and the condition of base. Second, the academic students had a poorer understanding of the basic nature of logarithmic function graph and of applying the nature of logarithm to the given problems. Third, the natural science students didn't comprehend well the basic nature of logarithmic function graph, the nature of characteristics and mantissa. Fourth, for all the students from academic and natural science courses, the most common errors were caused by the poor understanding of theorem or nature of the [E4] model. Fifth, the academic students made more frequent errors due to the unfamiliar signs of the [El] model, the imperfect understanding of theorem or nature of the [E4] model, and the technical part of the [E6] model. Sixth, the natural science students made more frequent errors because of the improper problem interpretation of the [E2] model and the logically improper inference of the [E3] model.

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Whole Frame Error Concealment with an Adaptive PU-based Motion Vector Extrapolation for HEVC

  • Kim, Seounghwi;Lee, Dongkyu;Oh, Seoung-Jun
    • IEIE Transactions on Smart Processing and Computing
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    • v.4 no.1
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    • pp.16-21
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    • 2015
  • Most video services are transmitted in wireless networks. In a network environment, a packet of video is likely to be lost during transmission. For this reason, numerous error concealment (EC) algorithms have been proposed to combat channel errors. On the other hand, most existing algorithms cannot conceal the whole missing frame effectively. To resolve this problem, this paper proposes a new Adaptive Prediction Unit-based Motion Vector Extrapolation (APMVE) algorithm to restore the entire missing frame encoded by High Efficiency Video Coding (HEVC). In each missing HEVC frame, it uses the prediction unit (PU) information of the previous frame to adaptively decide the size of a basic unit for error concealment and to provide a more accurate estimation for the motion vector in that basic unit than can be achieved by any other conventional method. The simulation results showed that it is highly effective and significantly outperforms other existing frame recovery methods in terms of both objective and subjective quality.