• Education of Primary School Mathematics
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• v.20 no.3
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• pp.237-252
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• 2017

The era of the Fourth Industrial Revolution has also influenced the direction of mathematics education. In particular, the convergence capability that recognizes how mathematics can be applied and utilized in various fields is an important point. The purpose of this study is to examine the point of convergence and to develop a fusion program that can be used in the mathematics classroom. Specifically, we analyze the tiles used in ancient Islamic architecture from a mathematical point of view and develop mathematics and multifamily convergence programs based on them. Through the mathematical analysis of the geometric tiling made 500 years earlier than Penrose, I hope that understanding of design, the use of mathematics and the possibility of convergence of other disciplines through mathematics will be widened.

• Korean Journal of Remote Sensing
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• v.36 no.2_1
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• pp.199-215
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• 2020

A seagrass that is marine vascular plants plays an important role in the marine ecosystem, so periodic monitoring ofseagrass habitatsis being performed. Recently, the use of dronesthat can easily acquire very high-resolution imagery is increasing to efficiently monitor seagrass habitats. And deep learning based on a convolutional neural network has shown excellent performance in semantic segmentation. So, studies applied to deep learning models have been actively conducted in remote sensing. However, the segmentation accuracy was different due to the hyperparameter, various deep learning models and imagery. And the normalization of the image and the tile and batch size are also not standardized. So,seagrass habitats were segmented from drone-borne imagery using a deep learning that shows excellent performance in this study. And it compared and analyzed the results focused on normalization and tile size. For comparison of the results according to the normalization, tile and batch size, a grayscale image and grayscale imagery converted to Z-score and Min-Max normalization methods were used. And the tile size isincreased at a specific interval while the batch size is allowed the memory size to be used as much as possible. As a result, IoU was 0.26 ~ 0.4 higher than that of Z-score normalized imagery than other imagery. Also, it wasfound that the difference to 0.09 depending on the tile and batch size. The results were different according to the normalization, tile and batch. Therefore, this experiment found that these factors should have a suitable decision process.

• Journal of Gifted/Talented Education
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• v.22 no.3
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• pp.619-637
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• 2012

The purpose of this study is to develop a new program for elementary math-gifted students by using 'Girih Tililng' and apply it to the elementary students to improve their math-ability. Girih Tililng is well known for 'the secrets of mathematics hidden in Mosque decoration' with lots of recent attention from the world. The process of this study is as follows; (1) Reference research has been done for various tiling theories and the theories have been utilized for making this study applicable. (2) The characteristic features of Mosque tiles and their basic structures have been analyzed. After logical examination of the patterns, their mathematic attributes have been found out. (3) After development of Girih tiling program, the program has been applied to math-gifted students and the program has been modified and complemented. This program which has been developed for math-gifted students is called 'Exploring the Secrets of Girih Hidden in Mosque Patterns'. The program was based on the Renzulli's three-part in-depth learning. The first part of the in-depth learning activity, as a research stage, is designed to examine Islamic patterns in various ways and get the gifted students to understand and have them motivated to learn the concept of the tiling, understanding the characteristics of Islamic patterns, investigating Islamic design, and experiencing the Girih tiles. The second part of the in-depth learning activity, as a discovery stage, is focused on investigating the mathematical features of the Girih tile, comparing Girih tiled patterns with non-Girih tiled ones, investigating the mathematical characteristics of the five Girih tiles, and filling out the blank of Islamic patterns. The third part of the in-depth learning activity, as an inquiry or a creative stage, is planned to show the students' mathematical creativity by thinking over different types of Girih tiling, making the students' own tile patterns, presenting artifacts and reflecting over production process. This program was applied to 6 students who were enrolled in an unified(math and science) gifted class of D elementary school in Daejeon. After analyzing the results produced by its application, the program was modified and complemented repeatedly. It is expected that this program and its materials used in this study will guide a direction of how to develop methodical materials for math-gifted education in elementary schools. This program is originally developed for gifted education in elementary schools, but for further study, it is hoped that this study and the program will be also utilized in the field of math-gifted or unified gifted education in secondary schools in connection with 'Penrose Tiling' or material of 'quasi-crystal'.

• Proceedings of the Korean Information Science Society Conference
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• 2006.06b
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• pp.106-108
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• 2006

강화 학습은 누적 보상 값을 최대화할 수 있는 행동 선택 전략을 학습하는 온라인 학습의 한 형태이다. 효과적인 강화학습을 위해 학습 에이전트가 매 순간 고민해야 하는 문제가 탐험(exploitation)과 탐색(exploration)의 문제이다. 경험과 학습이 충분치 않은 상태의 에이전트는 어느 정도의 보상 값을 보장하는 과거에 경험한 행동을 선택하느냐 아니면 보상 값을 예측할 수 없는 새로운 행동을 시도해봄으로써 학습의 폭을 넓힐 것이냐를 고민하게 된다. 특히 단일 에이전트에 비해 상태공간과 행동공간이 더욱 커지는 다중 에이전트 시스템의 경우, 효과적인 강화학습을 위해서는 상태 공간 축소방법과 더불어 탐색의 기회가 많은 행동 선택 전략이 마련되어야 한다. 본 논문에서는 로봇축구 Keepaway를 위한 효율적인 다중 에이전트 강화학습 방법을 설명한다. 이 방법의 특징은 상태 공간 축소를 위해 함수근사방법의 하나인 타일 코딩을 적용하였고, 다양한 행동 선택을 위해 룰렛 휠 선택 전략을 적용한 것이다. 본 논문에서는 이 방법의 효과를 입증하기 위한 실험결과를 소개한다.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10a
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• pp.296-298
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• 1999

컬러 히스토그램은 멀티미디어 이미지 데이터의 특성을 표현하기 위하여 널이 이용되어 왔다. 그러나 컬러 히스토그램을 고차원으로 설정할 경우 색인 구조에 효율적이지 못할 뿐만 아니라 유사도 계산에서도 고비용이 요구된다. 이러한 단점을 보완하기 위해 히스트그램의 차원을 줄이는 여러 방법이 제시되어 왔으나 이미지의 색상정보 손실을 피할 수 없으며, 이미지의 전체 히스토그램으로는 이미지의 레이아웃을 고려할 수 없기 때문에 필터링을 통한 후보 선정 시 상이한 이미지가 선택되어지는 문제점을 지닌다. 본 논문에서는 이미지를 일정한 크기의 타일로 분할한 이미지 타일 평균 RGB 방법을 제안하였으며, 실험을 통하여 제안한 방법의 성능을 평가하였다.

• Journal of the Korean Association of Geographic Information Studies
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• v.9 no.4
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• pp.12-21
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• 2006

Recently, Very large and high resolution geological data from aerial or satellite imagery are available. Many researches and applications require to do realtime visualization of interest geological area or entire planet. Important operation of wide-spreaded terrain realtime visualization technique is the appropriate model resolution selection from pre-processed multi-resolution model hierarchy depend upon participant's view. For embodying such realtime rendering system with large geometric data, Preprocessing multi-resolution hierarchy from large scale geological information of interest area is required. In this research, recent Cubic multiresolution 4-8 tile hierarchy is selected for global planetary applications. Based upon the tile hierarchy, It constructs the selective terminal level tile mesh for original geological information area and starts to sample individual generated tiles for terminal level tiles. It completes the hierarchy by constructing intermediate tiles with low pass filtering in bottom-up direction. This research embodies series of efficient cubic 4-8 tile hierarchy construction mechanism with out-of-core storage. The planetary scale Mars' geographical altitude data and image data were selected for the experiment.

• Spatial Information Research
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• v.11 no.3
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• pp.261-274
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• 2003

The effective probability-based tile pre-fetching algorithm and the collaborative cache replacement algorithm are able to reduce the response time for user's requests by transferring tiles which will be used in advance and determining tiles which should be removed from the restrictive cache space of a client based on the future access probabilities in Web GISs(Geographical Information Systems). The Web GISs have multi-level abstracted data for the quick response time when zoom-in and zoom-out queries are requested. But, the previous pre-fetching algorithm is applied on only two-dimensional pre-fetching space, and doesn't consider expanded pre-fetching space for multi-level abstracted data in Web GISs. In this thesis, a probability-based pre-fetching algorithm for multi-level abstracted in Web GISs was proposed. This algorithm expanded the previous two-dimensional pre-fetching space into three-dimensional one for pre-fetching tiles of the upper levels or lower levels. Moreover, we evaluated the effect of the proposed pre-fetching algorithm by using a simulation method. Through the experimental results, the response time for user requests was improved 1.8%∼21.6% on the average. Consequently, in Web GISs with multi-level abstracted data, the proposed pre-fetching algorithm and the collaborative cache replacement algorithm can reduce the response time for user requests substantially.

• Journal of the Korea Computer Industry Society
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• v.4 no.10
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• pp.643-654
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• 2003

This paper proposes slippage and rotation sensing method in tactile image of robot griper. To overcome the demerits of inaccurate taxel positional sensing generated by previous moment method and edge ＆ line method according to constraints of taxet number changing or minimum taxel number, the proposed method classified the sensing method into two classes such as pixel status analysis and decision factor determination. The decision factor determines taxel threshold for filtering and sensing method choice based on moment method and edge ＆ line method. Computer simulations and experiment result show that the proposed method enhances the slippage and rotation sensing than previous methods for tactile image.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.24 no.1 s.173
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• pp.196-205
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• 2000

Computed Tomography (CT), Nuclear Magnetic Resonance Imaging (MR1) and some ultrasound techniques make it possible to obtain cross sections of human body or mechanical parts. In CAD system, a series of sectional surfaces can also be obtained from solid models of 3D objects. In this paper we introduce a tetrahedral meshing algorithm from these series of general sections using basic operators. In this scheme. general sections of three-dimensional object are triangulated first and side surfaces between two sections are triangulated by the use of tiling process. Finally tetrahedral meshing process is performed on each layer of 3D objects, which is composed of two general sections and one side surface.

• Communications of Mathematical Education
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• v.21 no.4
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• pp.597-612
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• 2007

For finding the optimal strategy in Blackout game which was introduced in the homepage of popular movie "Beautiful mind", we have developed and generalized a mathematical proof and an algorithm with a couple of softwares. It did require only the concept of basis and knowledge of basic linear algebra. Mathematical modeling and analysis were given for the square matrix case in(Lee,2004) and we now generalize it to a generalized $m{\times}n$ Blackout game. New proof and algorithm will be given with a visualization.