• The Journal of the Korea Contents Association
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• v.13 no.9
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• pp.400-409
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• 2013

In this paper, considering the characteristics of the driver at roundabouts by investigating the critical gap acceptance on various traffic conditions, multi-legged roundabouts were evaluated. The gap acceptance and rejection of 4-legged, 5-legged, 6-legged, and 7-legged roundabout were surveyed on real fields, and the critical gap acceptance was estimated using Raff's methods. Derived the critical gap acceptance was processed calibration and validation for micro-simulation, and then multi-legged roundabouts under variable conditions such as variations of traffic volume, turning ratio, and size of inscribed circle diameter were evaluated to verify operating conditions of roundabouts. As the results, according to the operating traffic volume and turning ratio, the inscribed circle diameters were proposed at each level of service. These inscribed circle diameters were able to reflect the guideline of geometric design for multi-legged roundabouts.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.519-533
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• 2007

In this paper we study a equality $\frac{1}{h_a}+\frac{1}{h_b}+\frac{1}{h_c}=\frac{1}{r}$ which contains altitudes and radius of inscribed circle of triangle. We search some paths for proving the equality, and find out 9 proof method of the equality which is related with descriptive geometry, coordinate geometry, and vector geometry.

• Journal of architectural history
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• v.5 no.1 s.9
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• pp.73-86
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• 1996

This study is to analyze the geometrical composition system for the plan of S. Pietro by Michelangelo. In the result of study, the plan is based on the geometrical elements of circle square cross, and shaped to symbolize the Universe which consists of the Heaven the Earth the Man. The plan is constituted of the conception of composition into hierarchy and repetition intersecting 45 degree the same sized square with inscribed square in a circle. Such the geometrical composition system can be found out a large number of example to the geometrical composition of architecture and city planning from Vitruvius to Bramante and Da Vinci. This plan is disposed in balance as the regularly proportional system of 1:1, 1:2, 1:3, which is formed the principal space. And the interior space is constituted of the organic space system, expanding to the direction of horizontal, vertical(ascension), development for primary space and secondary space with center in the geometric composition system of altar.

• International Journal of Highway Engineering
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• v.18 no.6
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• pp.153-160
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• 2016

OBJECTIVES : The objective of this study is to develop a traffic accident model of a roundabout based on the type of land use. METHODS : The traffic accident data from 2010 to 2014 were collected from the "traffic accident analysis system (TAAS)" data set of the Road Traffic Authority. A multiple linear regression model was utilized in this study to analyze the accidents based on the type of land use. Variables such as geometry and traffic volume were used to develop the accident models based on the type of land use. RESULTS : The main results are as follows. First, the null hypothesis that the type of land use does not affect the number of accidents is rejected. Second, four accident models based on the type of land use have been developed, which are statistically significant (high $R^2$ values). Finally, the total entering and circulating volumes, area of the central island, number of speed breakers, mean number of entry lanes, diameter of the inscribed circle, mean width of the entry lane, area of the roundabout, bus stops, and number of circulatory roadways are analyzed to see how they affect the accident for each type of land use. CONCLUSIONS : The development of the accident models based on the type of land use has revealed that the accident factors at a roundabout are different for each case. Thus, more speed breakers in commercial areas and an inscribed circle of proper diameter in commercial and residential areas are determined to be important for reducing the number of accidents. Additionally, expanding the width of the entry lanes, decreasing the area of the roundabouts in residential areas, and reducing the conflict factors such as bus stops in green spaces are determined to be important.

• Spatial Information Research
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• v.18 no.4
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• pp.13-22
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• 2010

For implementing TMDL(Total Maximum Daily Loading) to adopt more effective management of water pollution, water quality modeling is pre-requisite and such modeling requires the extraction of stream centerline. The institutes responsible for the water quality modeling, however, generates the stream centerline with their own criteria and this lead to low accuracy of the extracted centerline as well as different modeling results for the same watershed. Therefore, this study mainly focused on the development of extraction method of the stream centerline. For that, an automated method has been developed through the integration of the centerline extraction method using a maximum inscribed circle with GIS. The result has shown that the newly developed method could enable to represent more details of the stream topography along with enhanced accuracy compared with conventional extraction method. Furthermore, the new method can afford centerline extraction for the island areas which has been the limitation of the conventional method thereby supporting water quality modeling in a detailed level.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.399-420
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• 2008

In this paper we solve various triangle construction problems related with radius of escribed circle using algebraic method. We describe essentials and meaning of algebraic method solving construction problems. And we search relation between triangle construction problems, draw out 3 base problems, and make hierarchy of solved triangle construction problems. These construction problems will be used for creative mathematical investigation in gifted education.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2001.04a
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• pp.398-401
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• 2001

This paper presents rough cutting pat고 drilling. This method has differences from conventional method which uses boundary curve by intersecting object to machine and each cutting plane. Die-cavity shape is drilled in z-map, we select various tool and remove much material in the short time. as a result, this method raise productivity. The major challenges in die-cavity pocketing include : 1)finding an inscribed circle for removing material of unmachined regions, 2) selecting optimal tool and efficiently arranging tool, 3) generating offset surface of shape, 4) determining machined width according to the selected tool, 5) detecting and removing unmachined regions, and 6) linking PJE(path-joining element). Conventional machining method calling contour-map is compared with drilling method using Z-map, for finding efficiency in the view of productivity.

• Journal for History of Mathematics
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• v.18 no.1
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• pp.1-10
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• 2005

Sea Mirror, reflecting the heaven of the circles circumscribed or inscribed, by Li Zhi of Yuan Dynasy(1271-1368) was resolved by Li Rui(1773-1817) and added by the new four rules not solved. In the Chosun Dynasty, Nam Byung Churl resolved the problems of the Sea Mirror of the circle measurement and the preface was written by his younger brother Nam Byung Gil(1820-1869). In this paper, the concepts of the problems in the Sea Mirror and its three problems will be introduced.

• Proceedings of the Korean Information Science Society Conference
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• 2003.10a
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• pp.52-54
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• 2003

본 논문에서는 30게임에서 삼각형 내접원을 이용한 이동경로의 곡선화를 제안한다. 일반적으로 게임에서는 맵(map)을 형성하기 위해 그리드(grid) 방식을 채택한다. 그러나 그리드 방식은 지형을 형성할 때 격자를 이용하므로 자연스러운 맵을 형성하기 어려우며, 세밀한 묘사를 위해서는 많은 수의 격자를 이용하여야함으로 경로탐색 시 연산시간과 메모리에 부담을 준다. 이러한 문제점을 해결하기 위해서 웨이포인트(waypoint)를 이용하여 이동경로를 설정하기도 하지만. 이러한 방법은 게임디자이너가 웨이포인트를 미리 설정하여야한다는 단점이 뒤따른다. 근래에는 이러한 문제점 해결을 위해 네비게이션 메쉬(navigation mesh)를 이용하기도 한다. 네비게이션 메쉬를 이용하면 맵을 간소화할 수 있고 빠른 자동 경로탐색을 이룰 수 있다. 그러나 이러한 네비게이션 메쉬에서 A＊ 알고리즘을 적용하여도 이동경로는 꺾은선으로 나타나게 되어 현실감을 떨어뜨리는 원인으로 작용된다. 이러한 이동경로의 곡선화 문제점을 해결하기 위해 본 논문에서는 삼각형 내접원을 이용하여 이동경로의 곡선화를 이루었다.

• Smart Media Journal
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• v.12 no.3
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• pp.112-119
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• 2023

Shrimp farming has been becoming a new source of income for fishermen in South Korea. It is often necessary for fishers to measure the size of the shrimp for the purpose to understand the growth rate of the shrimp and to determine the amount of food put into the breeding pond. Traditional methods rely on humans, which has huge time and labor costs. This paper proposes a deep learning-based method for calculating the size of shrimps automatically. Firstly, we use fine-tuning techniques to update the Mask RCNN model with our farm data, enabling it to segment shrimps and generate shrimp masks. We then use skeletonizing method and maximum inscribed circle to calculate the length and width of shrimp, respectively. Our method is simple yet effective, and most importantly, it requires a small hardware resource and is easy to deploy to shrimp farms.