• Title/Summary/Keyword: Point method

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The alternative Method to Finish Modular Exponentiation and Point Multiplication Processes

  • Somsuk, Kritsanapong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.7
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    • pp.2610-2630
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    • 2021
  • The aim of this paper is to propose the alternative algorithm to finish the process in public key cryptography. In general, the proposed method can be selected to finish both of modular exponentiation and point multiplication. Although this method is not the best method in all cases, it may be the most efficient method when the condition responds well to this approach. Assuming that the binary system of the exponent or the multiplier is considered and it is divided into groups, the binary system is in excellent condition when the number of groups is small. Each group is generated from a number of 0 that is adjacent to each other. The main idea behind the proposed method is to convert the exponent or the multiplier as the subtraction between two integers. For these integers, it is impossible that the bit which is equal to 1 will be assigned in the same position. The experiment is split into two sections. The first section is an experiment to examine the modular exponentiation. The results demonstrate that the cost of completing the modular multiplication is decreased if the number of groups is very small. In tables 7 - 9, four modular multiplications are required when there is one group, although number of bits which are equal to 0 in each table is different. The second component is the experiment to examine the point multiplication process in Elliptic Curves Cryptography. The findings demonstrate that if the number of groups is small, the costs to compute point additions are low. In tables 10 - 12, assigning one group is appeared, number of point addition is one when the multiplier of a point is an even number. However, three-point additions are required when the multiplier is an odd number. As a result, the proposed method is an alternative way that should be used when the number of groups is minimal in order to save the costs.

Discharge Estimation Using Non-dimensional Velocity Distribution and Index-Velocity Method in Natural Rivers (자연하천에서 무차원 유속분포-지표유속법을 이용한 유량산정)

  • Kim, Chang-Wan;Lee, Min-Ho;Jung, Sung-Won;Yoo, Dong-Hoon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.855-859
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    • 2007
  • It is essential to obtain accurate and highly reliable streamflow data for water resources planning, evaluation and management as well as design of hydraulic structures. A new discharge estimation method, which is named 'non-dimensional velocity distribution and index-velocity method,' was proposed in this research. This method showed very close channel discharges which were calculated with the exiting velocity-area method. When velocity-area method is used to estimate channel discharge, it is required to observe point velocities at every desired point and vertical using a current meter like Price-AA. However 'non-dimensional velocity distribution and index-velocity method' is used, it become optional to observe point velocities at every desired point and vertical. But this method can not be applied for the cases of very complex and strongly asymmetric channel cross-sections because non-dimensional velocity distribution by entropy concept may be quite biased from that of natural rivers.

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Measurement and Computing Method of the Average Illuminance in Residential Areas (공동주택의 조도측정 및 평균조도 산출방법)

  • Joo, Keun-Tak;Choi, An-Seop
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.20 no.5
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    • pp.1-8
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    • 2006
  • The Five Point Method of KS and Four Point Method of IES are generally used to measure and compute the average illuminance in residential areas. Such methods of measurement should be used exactly according to the characteristics of the space and activities. Therefore, this study evaluated computation methods of the average illuminance in terms of comparing the measured values with simulated ones. The Five Point Method of KS is very closed to evaluate task illuminancefor appreciating activities at the center while the Four Point Method of IES is very closed to a concept of the average illuminance over the space excluding the possible maximum and minimum illuminance values.

A study on diagnosis method by chonguinyoung pulse(寸口人迎脈診) based on 《Youngchu·Kyoungmaek 靈樞·經脈》 (《영추(靈樞)·경맥(經脈)》의 촌구인영맥진(寸口人迎脈診)에 관(關)한 연구(硏究))

  • Sin, Kwang-Sun;Jang, Jun-Hyuk;Yoon, Jong-Hwa
    • Journal of Acupuncture Research
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    • v.19 no.1
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    • pp.203-209
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    • 2002
  • Objective : The chonguinyoung pulse diagnosis method is convenient than twelve meridian pulse diagnosis method The $\ll$Maek-bup(脉法)$\gg$ are founded at Mawangtweo(馬王堆) of the han dynasty tomb in 1973, but it could diagnosis the exsitance of illness of twelve meridian also . Methods : In accordance to $\ll$Naekuoung(內經)$\gg$ inyoungmaek(人迎脈) in could be taken at the which is the pulse point of carotid artery on the line of foot yangmyoung stomach meridian (足陽明胃經) and chongumaek (寸口脈) at the taeyoun acu-point (太淵穴) pulse point on the line of hand taeyeun lung meridian (手太陰肺經). Results : Chonguinyoung pulse diagnosis method could be emphased on the point of diagnosing sick person and healthy person by the balance of yin (陰) yan (陽) composition in the body. Conclusion : Chonguinyoung pulse diagnosis method could be the indication of improvement and progress of disease also it could be adapt to diagnosis of twelve meridian and it is impossible to making choice of acupuncture, medication, moxibustion, vene-section and strengthing-eleminating treatment method (補瀉方法).

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The Measurement and Prediction of Minimum Flash Point Behaviour for Flammable Binarry Solution Using Pensky-Martens Closed Cup Tester

  • Ha, Dong-Myeong;Choi, Yong-Chan;Lee, Sung-Jin
    • International Journal of Safety
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    • v.9 no.2
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    • pp.6-10
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    • 2010
  • The flash point of liquid solution is one of the most important flammability properties that used in hazard and risk assessments. Minimum flash point behaviour (MFPB) is showed when the flash point of a liquid mixture is below the flash points of the individual components. In this paper, the lower flash points for the flammable binary system, n-decane+n-octanol, were measured by Pensky-Martens closed cup tester. This binary mixture exhibited MFPB. The measured flash points were compared with the values calculated by the Raoult's law and the optimization method using van Laar and UNIQUAC equations. The optimization method were found to be better than those based on the Raoult's law, and successfully estimated MFPB. The opimization method based on the van Laar equation described the experimentally-derived data more effectively than was the case when the prediction model was based upon the UNIQUAC.

Fixed-point Iteration for the Plastic Deformation Analysis of Anisotropic Materials (이방성 재료의 소성변형 해석을 위한 고정점 축차)

  • Seung-Yong Yang;Jeoung Han Kim
    • Journal of Powder Materials
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    • v.30 no.1
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    • pp.29-34
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    • 2023
  • A fixed-point iteration is proposed to integrate the stress and state variables in the incremental analysis of plastic deformation. The Conventional Newton-Raphson method requires a second-order derivative of the yield function to generate a complicated code, and the convergence cannot be guaranteed beforehand. The proposed fixed-point iteration does not require a second-order derivative of the yield function, and convergence is ensured for a given strain increment. The fixed-point iteration is easier to implement, and the computational time is shortened compared with the Newton-Raphson method. The plane-stress condition is considered for the biaxial loading conditions to confirm the convergence of the fixed-point iteration. 3-dimensional tensile specimen is considered to compare the computational times in the ABAQUS/explicit finite element analysis.

A Progressive Rendering Method to Enhance the Resolution of Point Cloud Contents (포인트 클라우드 콘텐츠 해상도 향상을 위한 점진적 렌더링 방법)

  • Lee, Heejea;Yun, Junyoung;Kim, Jongwook;Kim, Chanhee;Park, Jong-Il
    • Journal of Broadcast Engineering
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    • v.26 no.3
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    • pp.258-268
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    • 2021
  • Point cloud content is immersive content that represents real-world objects with three-dimensional (3D) points. In the process of acquiring point cloud data or encoding and decoding point cloud data, the resolution of point cloud content could be degraded. In this paper, we propose a method of progressively enhancing the resolution of sequential point cloud contents through inter-frame registration. To register a point cloud, the iterative closest point (ICP) algorithm is commonly used. Existing ICP algorithms can transform rigid bodies, but there is a disadvantage that transformation is not possible for non-rigid bodies having motion vectors in different directions locally, such as point cloud content. We overcome the limitations of the existing ICP-based method by registering regions with motion vectors in different directions locally between the point cloud content of the current frame and the previous frame. In this manner, the resolution of the point cloud content with geometric movement is enhanced through the process of registering points between frames. We provide four different point cloud content that has been enhanced with our method in the experiment.

The Measurement Method of the Illuminance Considering Space Characteristics (공간의 특성을 고려한 조도 측정방법에 관한 연구)

  • Joo, Keun-Tak;Choi, An-Seop
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2005.05a
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    • pp.3-7
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    • 2005
  • A lighting method of our county is ordinary center concentration form. Therefore, it is usally used the Five Point Method, Multiplicity Method of KS, and Four Point Method of IES to measure a space illuminance. We can use the Five Point Method of KS when we measure a uniformity ratio or activities that happen in space is more sensitive than whole illumination. In addition, we can use the Multiplicity Method of KS and Four Point Method of IES when we measure whole illuminance like mean illuminance. Such method of measurements should be used exactly according to the kinds of space and activities.

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Accuracy Evaluation by Point Cloud Data Registration Method (점군데이터 정합 방법에 따른 정확도 평가)

  • Park, Joon Kyu;Um, Dae Yong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.38 no.1
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    • pp.35-41
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    • 2020
  • 3D laser scanners are an effective way to quickly acquire a large amount of data about an object. Recently, it is used in various fields such as surveying, displacement measurement, 3D data generation of objects, construction of indoor spatial information, and BIM(Building Information Model). In order to utilize the point cloud data acquired through the 3D laser scanner, it is necessary to make the data acquired from many stations through a matching process into one data with a unified coordinate system. However, analytical researches on the accuracy of point cloud data according to the registration method are insufficient. In this study, we tried to analyze the accuracy of registration method of point cloud data acquired through 3D laser scanner. The point cloud data of the study area was acquired by 3D laser scanner, the point cloud data was registered by the ICP(Iterative Closest Point) method and the shape registration method through the data processing, and the accuracy was analyzed by comparing with the total station survey results. As a result of the accuracy evaluation, the ICP and the shape registration method showed 0.002m~0.005m and 0.002m~0.009m difference with the total station performance, respectively, and each registration method showed a deviation of less than 0.01m. Each registration method showed less than 0.01m of variation in the experimental results, which satisfies the 1: 1,000 digital accuracy and it is suggested that the registration of point cloud data using ICP and shape matching can be utilized for constructing spatial information. In the future, matching of point cloud data by shape registration method will contribute to productivity improvement by reducing target installation in the process of building spatial information using 3D laser scanner.

Multi-Point Contact Analysis of Two Bodies in Plane (평면에서의 임의 형상을 갖는 물체의 다점 접촉 해석)

  • Jeon, Gyeong-Jin;Park, Su-Jin;Son, Jeong-Hyeon;Yu, Wan-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1631-1637
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    • 2002
  • This paper presents a method for calculating contact force between bodies on plane. At each integration time step, the proposed method finds expected contact point on their outlines and then calculates penetration, velocity of penetration and contact force. This paper adopts continuous analysis method and multi-point contact method to calculate contact force. To obtain the accurate expected contact point on their outlines, a new algorithm is developed. The accuracy of the proposed algorithm is demonstrated by comparing the numerical results of the proposed method and DADS.