• The Pure and Applied Mathematics
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• v.5 no.1
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• pp.55-63
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• 1998

A Gauss map of m-dimensional distribution on a Riemannian manifold M is called a harmonic Gauss map if it is a harmonic map from the manifold into its Grassmann bundle $G_m$(TM) of m-dimensional tangent subspace. We calculate the tension field of the Gauss map of m-dimensional distribution and especially show that the Hopf fibrations on $S^{4n＋3}$ are the harmonic Gauss map of 3-dimensional distribution.

• Journal of Korean Society for Geospatial Information Science
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• v.8 no.2 s.16
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• pp.35-46
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• 2000

The digital maps, important data to build NGIS, require different scales in the same area. The organization for producing a digital map tries to find product method for digital map with economical efficiency and quality. The objectives of this study is to develope digital map generalization system to solve above problems. In order to develop this system, the work processing for digital map generalization is established, the analysis of related law and analysis on maps in different scales were performed, and each of digital map generalization algorithms was compared. The result of digital map generalization using this system shows that have a good result about positional accuracy which was evaluated by comparison between the generalized 1/25,000 and the corresponding 1/5,000 digital map. Furthermore, this system reduce the time required for 1/25,000 digital map production and the physical data amount by around 80%. In conclusion, the generalization system developed for this research can be useful for the digital map generalization from large scale to small scale digital map.

• Journal of Cadastre & Land InformatiX
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• v.51 no.1
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• pp.39-51
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• 2021

Recently, there has been much interest in practical use of standardized HD map that can effectively define roads, lanes, junctions, road signs, and road facilities in autonomous driving. Various kinds of de jure or de facto standards such as ISO 22726-1, ISO 14296, HERE HD Live map, NDS open lane model, OpenDRIVE, and NGII HD map are currently being used. However, there are lots of differences in data modeling among these standards, it makes difficult to use them together in autonomous driving. Therefore, we propose a data model conversion method to enable an efficient use of various kinds of HD map standards in autonomous driving in this study. Specifically, we propose a conversion method between the NGII HD map model, which is easily accessible in the country, and the OpenDRIVE model, which is commonly used in the autonomous driving industry. The proposed method consists of simple conversion of NGII HD map layers into OpenDRIVE objects, new OpenDRIVE objects creation corresponding to NGII HD map layers, and linear transformation of NGII HD map layers for OpenDRIVE objects creation. Finally, we converted some test data of NGII HD map into OpenDRIVE objects, and checked the conversion results through Carla simulator. We expect that the proposed method will greatly contribute to improving the use of NGII HD map in autonomous driving.

• Journal of Korea Society of Industrial Information Systems
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• v.22 no.1
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• pp.23-32
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• 2017

In this paper, We suggest a unified approach for the analysis of discrete-time MAP/G/1 queueing system. Many researches on the D-MAP/G/1 queue have been used different approach to analyze system queue length and waiting time for the same system. Therefore, a unified framework for analyzing a system is necessary from a viewpoint of system design and management. We first derived steady-state workload distribution, and then waiting time and sojourn time are derived by the result of workload analysis. Finally, system queue length distribution is derived with generating function from the sojourn time distribution.

• Journal of the Korean Mathematical Society
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• v.42 no.3
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• pp.447-455
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• 2005

In this article, we introduce the notion of pointwise 1-type Gauss map of the first and second kinds and study surfaces of revolution with such Gauss map. Our main results state that surfaces of revolution with pointwise 1-type Gauss map of the first kind coincide with surfaces of revolution with constant mean curvature; and the right cones are the only rational surfaces of revolution with pointwise 1-type Gauss map of the second kind.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.6 no.1
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• pp.59-65
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• 2002

In this paper, we consider some homogeneous maps from a cone over 2-spheres and determines whether they become energy minimizing maps or not. In fact, any homogeneous map from a standard cone over 2-sphere of radius smaller than 1 can not be a minimizing harmonic map.

• Spatial Information Research
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• v.6 no.2
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• pp.201-216
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• 1998

The :Ministry of Transportation and Construction has a plan to finish up the construction of digital topographic map which is based. on airphoto intepretation method by the end of 1998 as a part of NQS (National Geogaphic Information System) Project. The digital topographic map, especially 1:1,000 scale, is used as a basemap of many local government's GIS projects. The digital topographic map, however, does not include property information such as cadastral and urbanplan data that are essential for the GIS database of many local governments. This study aims to develop a set of technical guidelines for the construction of digital cadastral map, which can be used together with the 1:1,000 scale digital topographic map, through 1) analysis of the inconsistency between topographic map and cadastral map, 2) comparison of technical methods for the integration of GIS data that have different accuracy, and 3) requirement analysis of the departments related to urban planning of Seoul Metropolitan Govemment. For this research, edited digital cadastral map has been experimentally produced in pilot study area, a part of Hwanghak-dong, Shindang-dong, and Soongin-dong in Seoul.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.537-545
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• 2005

The aim of this paper is to solve the open problem on product properties of digital covering maps raised from [5]. Namely, let us consider the digital images $X_1 {\subset}Z^{n_{0}}$ with $k_0-adjacency$, $Y_1{\subset}Z^{n_{1}}$ with $k_3-adjacency$, $X_2{\subset}Z^{n_{2}}$ with $k_2-adjacency$ and $Y_2{\subset}Z^{n_{3}}$ with $k_3-adjacency$. Then the reasonable $k_4-adjacency$ of the product image $X_1{\times}X_2$ is determined by the $k_0-$ and $k_2-adjacency$ and the suitable k_5-adjacency$ is assumed on $Y_1{\times}Y_2$ via the $k_1-$ and $k_3-adjacency$ [3] such that each of the projection maps is a digitally continuous map, e.g., $p_1\;:\;X_1{\times}X_2{\rightarrow}X_1$ is a digitally ($k_4,\;k_1$)-continuous map and so on. Let us assume $h_1\;:\;X_1{\rightarrow}Y_1$ to be a digital $(k_0, k_1)$-covering map and $h_2\;:\;X_2{\rightarrow}Y_2$ to be a digital $(k_2,\;k_3)$-covering map. Then we show that the product map $h_1{\times}h_2\;:\;X_1{\times}X_2{\rightarrow}Y_1{\times}Y_2$ need not be a digital $(k_4,k_5)$-covering map.

• Korean Journal of Animal Reproduction
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• v.22 no.3
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• pp.265-276
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• 1998

In an attempt to evaluate the function of MAP kinase of porcine oocytes and to develop a method of assessment for kinase activity, we used MBP as a substrate to detect the MAP kinase activity of porcine oocytes matured in in vitro. The MAP kinase which had lower activity during the first 20 hours of culture started to show an increased amount of activity at 25 hours at which a collapse in nuclear membrane was induced. Significant (P<0.05) a, pp.ared at 30 hours of being cultured. The gel phosphorylation method, MBP which has been known to be a substrate for kinase such as cdc2 kinase, was phosphorylated at two positions corresponding to ERK 1 (44kDa) and ERK2 (42 kDa) which are known as mammalian MAP kinase. The existence of MARKK and MAP kinase were identified with western blotting at 0 hour culture of immature GV oocytes. The amount of those proteins did not increase during 40 hours of culture, which suggest that the increase of MAP kinase activity was caused by phosphorylaton rather than due to change in protein amount. MAPKK and MAP kinase were shown to be dephosporylated with deactivated at M 1 stage by inhibition of protein synthesis with cycloheximide added at the strat following the cultrue. We have reulsts that indicate the existedence of MAP kinase cascade which was activated simultaneously with start of porcine oocyte maturation (GVBD).

• Journal of Institute of Control, Robotics and Systems
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• v.22 no.12
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• pp.1046-1052
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• 2016

For the safe driving of autonomous vehicles, accurate position estimation is required. Generally, position error must be less than 1m because of lane keeping. However, GPS positioning error is more than 1m. Therefore, we must correct this error and a map matching algorithm is generally used. Especially, road marking intensity map have been used in many studies. In previous work, 3D LIDAR with many vertical layers was used to generate a local intensity map. Because it can be obtained sufficient longitudinal information for map matching. However, it is expensive and sufficient road marking information cannot be obtained in rush hour situations. In this paper, we propose a localization algorithm using an accumulated intensity local map. An accumulated intensity local map can be generated with sufficient longitudinal information using 3D LIDAR with a few vertical layers. Using this algorithm, we can also obtain sufficient intensity information in rush hour situations. Thus, it is possible to increase the reliability of the map matching and get accurate position estimation result. In the experimental result, the lateral RMS position error is about 0.12m and the longitudinal RMS error is about 0.19m.