• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.22 no.1
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• pp.45-52
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• 2004

It can be classified in various methods to get the geoidal heights. It can be achieved geometric geoidal heights if we do GPS surveying in leveling point. The aims of this paper are calculation of geometric geoidal heights using GPS/leveling data in study area and evaluation of the global and local geoid models in and around Korean peninsula. For this study, study area was selected in the leveling line from Kunsan to Chonju city and GPS surveying was accomplished in the leveling line. And, also spherical harmonic analysis was made on the three global geopotential models, OSU91A, EGM96, EGM96m under same condition. Then the differences were calculated between geometric geoidal heights and geoidal heights of 3 geopotential models, KOGD2002 which was Korean gravimetric geoid model. The results shows that EGM96m is the best model because the differences between geoidal heights of E6M96m and geometric geoidal heights of GPS/Leveling data appear the smallest value among them.

• The KIPS Transactions:PartA
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• v.10A no.2
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• pp.149-156
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• 2003

In the latest medical world, the attempt of reconstructing anatomical human body system using computer graphics technology awakes people's interests. Actually, this trial has been made in dentistry too. There are a lot of practicable technology fields using computer graphics in dentistry For example, 3D visualization and measurement of dental data, detection of implant location, surface reconstruction for restoring artificial teeth in prostheses and relocation of teeth in orthodontics can be applied. In this paper, we propose methods for definitely detecting the geometric features of teeth such as cusp, ridge, fissure and pit, which have been used as most important characteristics in dental applications. The proposed methods are based on the approximate curvatures that are measured on a 3D tooth model made by scanning an impression. We also give examples of the geometric features detected by using the proposed methods. Comparing to other traditional methods visually, the methods are very useful in detecting more accurate geometric features.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.36 no.4A
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• pp.325-328
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• 2011

In this paper, we present a new and simple derivation of the Craig representation for the two-dimensional (2-D) Gaussian Q-function in the viewpoint of geometry. The geometric derivation also leads to an alternative Craig form for the 2-D Gaussian Q-function. The derived Craig form is newly obtained from the geometry of two wedge-shaped regions generated by the rotation of Cartesian coordinates over two correlated Gaussian noises. The presented Craig form can play a important role in computing the probability represented by the 2-D Gaussian Q-function.

• Journal of Environmental Health Sciences
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• v.27 no.4
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• pp.99-105
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• 2001

도로교통소음은 많은 지역에 산재해 있으며 특히 주도로변에 거주하는 사람들에게 환경과 관련하여 매우 중요하다. 도로교통으로부터 소음수준을 계산하는데 몇가지 다른 방법들이 이용되고 있다. 이 방법들은 계산방법과 그래프식 그리고 컴퓨터 모델링 기술 등이다. 교통과 교통소음의 영향으로부터 소음을 계산하는 간단한 기술의 예측방법은 여기에 나타내었다. 이 TNS (traffic Noise Screening) 방법은 서로 다른 도로유형에 대한 일련의 도로교통소음레벨의 예측그래프로 전개된 것이다. 이 그래프는 Federal Highway Administration (FHWA) STAMINA 2.0을 이용하여 다양한 시나리오에 대한 소음 예측모델을 계산한 결과를 기초하였다. TNS에 도로의 기하학적 형태, 교통량 주행속도 그리고 도로중앙선의 거리등의 데이터를 입력시킨다. TNS 그래프는 소음영향과 연관된 교통소음예측에서 사용하는 경우 교통소음레벨의 계산을 쉽게 한다. 이 TNS 방법은 STAMINA 2.0과 같은 상세 모델링을 대신하지는 못하지만 상세 모델을 필요로 할 때 도움을 주는 도구이다 만약 소음계산들이 중요하거나 또는 시나리오가 보다 복잡하고 부가된다면 보다 상세한 모델링이 수행되어져 스크린 결과들이 나타난다.

• Proceedings of the Korean Information Science Society Conference
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• 2004.10a
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• pp.706-708
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• 2004

본 논문에서는 코어를 이용한 주조에 대한 계산 기하학 문제를 다룬다. 주조는 녹인 물질을 주형 안에 주입해서 응고시킨 후 주형을 제거하는 방법으로, 주물은 주형의 내부 공동의 모양을 갖게 된다 코어는 두 개의 주형으로는 만들 수 없는 물체를 주조하기 위한 부속물로서, 두 개의 주요 주형이 제거되는 방향과는 다른 방향으로 제거된다. 따라서 코어를 사용하면 두 개의 주형으로는 제작할 수 없는 물체를 주조로 만들 수 있게 된다. 본 논문에서는 어떤 물체가 주어졌을 때, 코어를 사용하는 주조로 만들 수 있는지를 증명 할 수 있는 필요충분 조건을 제시한다 또한, 다면체의 물체를 테스트하는 O(n$^3$ logn)의 알고리즘과, 동일한 시간 안에 주형의 형태를 만들어낼 수 있는 알고리즘을 제시한다.

• Journal for History of Mathematics
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• v.23 no.1
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• pp.41-52
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• 2010

Ancient Indian mathematical works, all composed in Sanskrit, usually consisted of a section of sturas in which a set of rules or problems were stated with great economy in verse in order to aid memorization by a student. And rules or problems of the mathematics were transmitted both orally and in manuscript form.Indian mathematicians made early contributions to the study of the decimal number system, arithmetic, equations, algebra, geometry and trigonometry. And many Indian mathematicians were appearing one after another in Ancient. This paper is a comparative study of mathematics developments in ancient India and the other ancient civilizations. We have found that the Indian mathematics is quantitative, computational and algorithmic by the principles, but the ancient Greece is axiomatic and deductive mathematics in character. Ancient India and the other ancient civilizations mathematics should be unified to give impetus to further development of mathematics education in future times.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.45 no.3
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• pp.160-174
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• 2008

In this paper, we propose new coding techniques for photometry data of three-dimensional(3-D) mesh models. We make a good use of geometry and connectivity information to improve coding efficiency of color, normal vector, and texture data. First of all, we determine the coding order of photometry data exploiting connectivity information. Then, we exploit the obtained geometry information of neighboring vortices through the previous process to predict the photometry data. For color coding, the predicted color of the current vertex is computed by a weighted sum of colors for adjacent vortices considering geometrical characteristics between the current vortex and the adjacent vortices at the geometry predictor. For normal vector coding, the normal vector of the current vertex is equal to one of the optimal plane produced by the optimal plane generator with distance equalizer owing to the property of an isosceles triangle. For texture coding, our proposed method removes discontinuity in the texture coordinates and reallocates texture image segments according to the coding order. Simulation results show that the proposed compression schemes provide improved performance over previous works for various 3-D mesh models.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.28 no.2
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• pp.217-222
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• 2010

The geoid is the level surface that closely approximates mean sea level and usually used for the origin of vertical datum. For the computation of geoid, various sources of gravity measurements are used in South Korea and, as a consequence, the geoid models may show different results. however, a limited analysis has been performed due to a lack of controlled data, namely the GPS/Leveling data. Therefore, in this study, the gravimetric geoids are compared with the geodetic geoid which is obtained through the GPS/Leveling procedures. The gravimetric geoids are categorized into geoid from airborne gravimetry, geoid from the terrestrial gravimetry, NGII geoid(geoids published by National Geographic Information Institute) and NORI geoid(geoi published by National Oceanographic Research Institute), respectively. For the analysis, the geometric geoid is obtained at each unified national control point and the difference between geodetic and gravimetric geoid is computed. Also, the geoid height data is gridded on a regular $10{\times}10-km$ grid so that the FFT method can be applied to analyze the geoid height differences in frequency domain. The results show that no significant differences in standard deviation are observed when the geoids from the airborne and terrestrial gravimetry are compared with the geomertric geoid while relatively large difference are shown when NGII geoid and NORI geoid are compared with geometric geoid. Also, NGII geoid and NORI geoid are analyzed in frequency domain and the deviations occurs in long-wavelength domain.

• Journal of the Korean Chemical Society
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• v.26 no.1
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• pp.18-23
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• 1982

A new method for calculation of the the dipole moments for trigonal bipyramidal complexes has been developed in this work. Illustrative calculations are performed on a few trigonal bipyramidal complexes with the approximate molecular orbital and the valence bond method. The calculated values of the dipole moments by the approximate molecular orbital method are very close to the experimental values. The calculated dipole moments may be used to predict the geometric structure of trigonal bipyramidal complexes.

• Journal of the Korean Society of Groundwater Environment
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• v.6 no.1
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• pp.42-47
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• 1999

This study considers pseudosteady-state flow to a restricted-entry well in a single or multilayer aquifer with crossflow. A simple method for calculating the pseudoskin factor caused by partial penetration is presented to overcome a limited applicability in geometrical or computational aspects of previous methods. The computation is based on the solution of a simplified pseudosteady-state equation that describes the long-time behavior of the closed radial system. We illustrate the applicability of this method to various types of cylindrical systems and provide the results graphically. Comparisons with previously published results have indicated that this method yields highly accurate estimates of pseu-doskin factor with minimum computational effort. This method has also shown to be particularly useful for geometrically-complicated systems. Greatly improved computational efficiency of pseudosteady-state approach permits the engineer to easily account for the effect of partial penetration on the late-time performance of a well.