• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.221-247
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• 2008

In order to find the structure and scheme of basic mathematics education in life and nano-related areas in university, I've studied how much the freshmen in those fields in the university know about the graphic expressions for the basic functions(quadratic function, rational function, irrational function, log function and trigonometric function), basic information contained in those graphs and basic high school mathematics. Also, I've examined mathematics used in books for majors related to those areas. The result of the study shows that there is a lack of understanding of the graphic expressions for basic functions, information contained in those graphs and basic high school mathematics. I've also found out that there is a difference in the amount and depth of mathematics used in each major in life and nano-related areas. According to the result of this study, the amount of understanding of freshmen with each major in basic high school mathematics needs to be reflected in structuring basic mathematics education in life and nano-related areas in university, and the amount and dept of content of mathematics should be considered in each major.

• Journal of the Korea Society of Computer and Information
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• v.27 no.11
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• pp.67-80
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• 2022

In this paper, we propose a system which automatically generates the ShEx schemas to describe and validate RDF knowledge graphs constructed by RML mapping. ShEx schemas consist of constraints. The proposed system generates most of the constraints by converting the RML mapping rules. The schemas consisting only of constraints obtained from mapping rules can help users to figure out the structure of the graphs generated by RML mapping, but they are not sufficient for sophisticated validation purposes. For users who need a schema for validation, the proposed system is also able to provide the schema with added constraints generated from metadata extracted from the input data sources for RML mapping. The proposed system has the ability to handle CSV, XML, JSON or RDBMS as input data sources. Testing results from 297 cases show that the proposed system can be applied for RDF graph validation in various practical cases.

• Proceedings of the Korea Information Processing Society Conference
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• 2010.11a
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• pp.1642-1643
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• 2010

멀티미디어 도메인의 응용 프로그램에는 풍부한 병렬성이 내재하기 때문에 VLIW (Very Long Instruction Word) 형식의 신호처리 프로세서가 많이 사용되고 있다. VLIW 프로세서를 구성하는 복수의 연산처리유닛 (processing unit, PU)의 사용률은 컴파일러의 명령어 스케쥴러의 성능에 의하여 결정된다. 명령어들 사이의 병렬성을 분석하여 동시 수행가능한 명령어들을 각기 다른 PU 에서 수행되도록 프로그램 코드를 최적화한다. 하지만 기존의 명령어 스케쥴러는 복잡한 데이터 디펜던스 그래프 (data dependence graph, DDG)를 구성하여 복수의 PU 를 충분히 사용하도록 하지 못하는 문제점을 내재하고 있다. 이는 명령어 스케쥴러가 각 레지스터 사용시간을 별도로 고려하지 않기 때문에 실제로 내재된 데이터 디펜던스 보다 복잡성이 높은 디펜던스 그래프를 구성하게 되어 스케쥴러가 올바르게 최적화된 코드 스케쥴링 결과를 제공하지 못하기 때문이다. 본 연구에서는 레지스터의 라이프타임을 다른 레지스터를 이용하여 적절히 끊어주는 것으로 데이터 디펜던스 복잡도 완화하여 시스템 성능 향상의 가능성을 보이고 있다.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.31 no.5
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• pp.411-419
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• 2013

Research on developing algorithms for building modeling such as extracting outlines of the buildings and segmenting patches of the roofs using aerial images or LiDAR data are active. However, utilizing information from the building model is not well implemented yet. This study aims to propose a scheme for search identical or similar shape of buildings by utilizing graph topology pattern matching under the assumptions: (1) Buildings were modeled beforehand using imagery or LiDAR data, or (2) 3D building data from digital maps are available. Side walls, segmented roofs and footprints were represented as nodes, and relationships among the nodes were defined using graph topology. Topology graph database was generated and pattern matching was performed with buildings of various shapes. The results show that efficiency of the proposed method in terms of reliability of matching and database structure. In addition, flexibility in the search was achieved by altering conditions for the pattern matching. Furthermore, topology graph representation could be used as scale and rotation invariant shape descriptor.

• Journal of Korea Multimedia Society
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• v.3 no.6
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• pp.674-684
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• 2000

One key obstacle which has been identified in achieving parallel processing is to communicate effectively between processors during execution. One approach to achieving an optimal delay time is to use expander graph. The networks and algorithms which are based on expander graphs are successfully exploited to yield fast parallel algorithms and efficient design. The AKS sorting algorithm in time O(logN) which is an important result is based on the use of expanders. The expander graph also can be applied to construct a concentrator and a superconcentrator. Since Margulis found a way to construct an explicit linear expander graph, several expander graphs have been developed. But the proof of existence of such graphs is in fact provided by a nonconstructive argument. We investigate the expander network on the hypercube network. We prove the expansion of a sin81e stage hypercube network and extend this from a single stage to multistage networks. The results in this paper provide a theoretical analysis of expansion in the hypercube network.

• Proceedings of the Korean Information Science Society Conference
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• 2007.10c
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• pp.459-464
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• 2007

영상기반의 3자원 복원(reconstruction)에 대한 연구가 컴퓨터 성능의 발전과 다양한 영상기반의 복원 알고리즘의 연구로 인해 최근 좋은 결과를 보이고 있으나, 이는 얼굴영역과 같은 목적이 되는 영역이 각 입력영상으로부터 미리 정확하게 추출되어 있다고 가정하기 때문이다. 일반적으로 목적이 되는 영역을 추출하기 위해 차영상이 많이 이용되고 있지만 차영상은 잡음과 구멍(hole)과 같은 오 추출된 영역이 발생하기 때문에 목적이 되는 영역을 3차원으로 복원을 할 때 심각한 오류를 초래할 수 있다. 전경물체(목적이 되는 영역)을 정확하게 추출하기 위해 최근 그래프 컷(graph cut)을 이용한 방법이 다양하게 시도되고 있다. 그래프 컷은 데이터 항(data term)과 스무드 항(smooth term)으로 구성된 에너지 함수를 전역적으로 최소화하는 방법으로 여러 공학적 문제에서 좋은 결과를 보이고 있지만, 에너지 함수의 데이터 항을 설정할 때 필요한 사전정보를 자동으로 얻기가 어렵다. 스테레오 비전의 깊이 정보가 최근 전경 물체 추출을 위한 사전정보로 많이 이용되고 있고 그들의 실험환경에서는 좋은 결과를 보이지만, 3차원 얼굴 복원에서 얼굴의 대부분이 동질의 영역을 가지고 있기 때문에 깊이 정보를 구하기 어려워 정확한 사전정보를 구하기가 어렵다. 본 논문에서는 3차원 얼굴 복원을 효과적으로 하기 위한 그래프 컷 기반의 전경 물체 추출 방법을 제안한다. 에너지 함수의 데이터 항을 설정하기 위해 전경 물체에 대한 사전정보를 추출해야 하며, 이를 위해 차영상을 이용하여 대략적인 전경 물체 추출하고, 사전정보에 대한 오류를 줄이기 위해 잡음과 그림자 영역을 제거한다. 잡음과 그림자 영역을 제거하면 구멍이 발생하거나 실루엣이 손상되는 문제가 발생한다. 손상된 정보는 근접한 픽셀이 유사하지 않을 때 낮은 비용을 할당하는 에너지 함수의 스무드(smooth) 항에 의해 에지 정보를 기반으로 채워진다. 결론적으로 제안된 방법은 스무드 항과 대략적으로 설정된 데이터 항으로 구성된 에너지 함수를 그래프 컷으로 전역적으로 최소화함으로써 더욱 정확하게 목적이 되는 영역을 추출할 수 있다.

• Journal of Korea Multimedia Society
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• v.13 no.8
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• pp.1183-1193
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• 2010

The pyramid graph is well known in parallel processing as a interconnection network topology based on regular square mesh and tree architectures. The enhanced pyramid graph is an alternative architecture by exchanging mesh into the corresponding torus on the base for upgrading performance than the pyramid. In this paper, we adopt a strategy of classification into two disjoint groups of edges in regular square torus as a basic sub-graph constituting of each layer in the enhanced pyramid graph. Edge set in the torus graph is considered as two disjoint sub-sets called NPC(represents candidate edge for neighbor-parent) and SPC(represents candidate edge for shared-parent) whether the parents vertices adjacent to two end vertices of the corresponding edge have a relation of neighbor or sharing in the upper layer of the enhanced pyramid graph. In addition, we also introduce a notion of shrink graph to focus only on the NPC-edges by hiding SPC-edges within the shrunk super-vertex on the resulting shrink graph. In this paper, we analyze that the lower and upper bounds on the number of NPC-edges in a Hamiltonian cycle constructed on $2^n{\times}2^n$ torus is $2^{2n-2}$ and $3{\cdot}2^{2n-2}$ respectively. By expanding this result into the enhanced pyramid graph, we also prove that the maximum number of NPC-edges containable in a Hamiltonian cycle is $4^{n-1}$-2n+1 in the n-dimensional enhanced pyramid.

• Journal of Internet Computing and Services
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• v.23 no.5
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• pp.145-154
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• 2022

Automatic Target Recognition (ATR) technology is emerging as a core technology of Future Combat Systems (FCS). Conventional ATR is performed based on IMINT (image information) collected from the SAR sensor, and various image-based deep learning models are used. However, with the development of IT and sensing technology, even though data/information related to ATR is expanding to HUMINT (human information) and SIGINT (signal information), ATR still contains image oriented IMINT data only is being used. In complex and diversified battlefield situations, it is difficult to guarantee high-level ATR accuracy and generalization performance with image data alone. Therefore, we propose a knowledge graph-based ATR method that can utilize image and text data simultaneously in this paper. The main idea of the knowledge graph and deep model-based ATR method is to convert the ATR image and text into graphs according to the characteristics of each data, align it to the knowledge graph, and connect the heterogeneous ATR data through the knowledge graph. In order to convert the ATR image into a graph, an object-tag graph consisting of object tags as nodes is generated from the image by using the pre-trained image object recognition model and the vocabulary of the knowledge graph. On the other hand, the ATR text uses the pre-trained language model, TF-IDF, co-occurrence word graph, and the vocabulary of knowledge graph to generate a word graph composed of nodes with key vocabulary for the ATR. The generated two types of graphs are connected to the knowledge graph using the entity alignment model for improvement of the ATR performance from images and texts. To prove the superiority of the proposed method, 227 documents from web documents and 61,714 RDF triples from dbpedia were collected, and comparison experiments were performed on precision, recall, and f1-score in a perspective of the entity alignment..

• The Transactions of the Korea Information Processing Society
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• v.5 no.11
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• pp.2823-2834
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• 1998

This paper deals with the problem of one-to-one mapping of $2^n$ task modules of a parallel program to an n-dimensional hypercube multicomputer so as to minimize to total communication cost during the execution of the task. The problem of finding an optimal mapping has been proven to be NP-complete. We first propose a graph modification technique which transfers the mapping problem in a hypercube multicomputer into the problem of finding a set of maximum cutsets on a given task graph. Using the graph modification technique, we then propose a repeated mapping scheme which efficiently finds a one-to-one mapping of task modules to a hypercube multicomputer by repeatedly applying an existing bipartitioning algorithm on the modified graph. The repeated mapping scheme is shown to be highly effective on a number of test task graphs, it increasingly outperforms the greedy and recursive mapping algorithms as the number of processors increase. The proposed algorithm is shown to be very effective for regular graph, such as hypercube-isomorphic or 'almost' isomorphic graphs and meshes; it finds optimal mapping on almost all the regular task graphs considered.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.1-30
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• 2020

This study was carried out in order to identify the error types of statistical graphs for statistical literacy education. We analyze the meaning of using graphs in statistical problem solving, and identify categories, frequencies, and contexts as the components of statistical graphs. Error types of representing categories and frequencies make statistics consumers see incorrect distributions of data by subjective point of view of statistics producers and visual illusion. Error types of providing contexts hinder the interpretation of statistical information by concealing or twisting the contexts of data. Moreover, the findings show that tasks provide standardized frame already for drawing graphs in order to avoid errors and pay attention to the process of drawing the graph rather than statistical literacy for analyzing data. We suggest some implications about statistical literacy education, ethical problems, and knowledge for teaching to be considered when teaching the statistical graph in elementary mathematics classes.