• Journal for History of Mathematics
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• v.9 no.1
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• pp.42-49
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• 1996

• Economic and Environmental Geology
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• v.54 no.6
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• pp.615-627
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• 2021

The Baekildo fault, a dextral strike-slip fault developed in Baekil Island, Goheung-gun, controls the distribution of tuffaceous sandstone and lapilli tuff and shows a complex fracture system around it. In this study, we examined the spatial variation in the geometry and connectivity of the fracture system by using circular sampling and topological analysis based on a detailed fracture trace map. As a result, both intensity and connectivity of the fracture system are higher in tuffaceous sandstone than in lapilli tuff. Furthermore, the degree of the orientation dispersion, intensity, and average length of fracture sets vary depending on the along-strike variation in structural position in the tuffaceous sandstone. Notably, curved fractures abutting the fault at a high angle occur at a fault bend. Based on the detailed observation and analyses of the fracture system, we conclude as follows: (1) the high intensity of the fracture system in the tuffaceous sandstone is caused by the higher content of brittle minerals such as quartz and feldspar. (2) the connectivity of the fracture system gets higher with the increase in the diversity and average length of the fracture sets. Finally, (3) the fault bend with geometric irregularity is interpreted to concentrate and disturb the local stress leading to the curved fractures abutting the fault at a high angle. This contribution will provide important insight into various geologic and structural factors that control the development of fracture systems around faults.

• Korean Journal of Optics and Photonics
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• v.33 no.6
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• pp.317-323
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• 2022

In this investigation, we describe a chromatic confocal sensor based on a geometric phase lens for measuring the thicknesses of transparent plates. In order to design a compact sensor, a geometric phase lens, which has diffractive and polarizing characteristics, is used as a device to generate chromatic aberration, and a fiber optic module is adopted. The systematic error of the sensor is reduced with wavelength peak detection by Gaussian curve fitting and the common error compensation obtained by the repeatedly consecutive experimental results. An approach to calculate the plate thickness is derived and verified with sapphire and BK7 plates. Because of the simple and compact design of the proposed sensor with rapid measurement capability, it is expected to be widely used in thickness measurements of transparent plates as an alternative to traditional approaches.

• Journal for History of Mathematics
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• v.20 no.4
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• pp.85-92
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• 2007

In this paper We study Some history and development of Geometry from the early 19th century to the late 20th century.

• Proceedings of the Korean Information Science Society Conference
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• 2002.10c
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• pp.592-594
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• 2002

일반적으로 디지털 영상에 대한 기존 워터마킹 기법은 기하학적인 왜곡에 허약하다. 본 논문에서는 기하학적인 왜곡에 강건한 워터마킹 기법을 제안한다. 워터마킹 기법은 워터마크의 생성단계 워터마크 삽입단계, 워터마크 추출 단계로 구성된다. 워터마크 생성단계에서는 시각적으로 구별이 가능한 그레이 영상을 워터마크로 사용하며, 워터마크 삽입 단계에서는 원 영상을 콤플렉스 웨이블릿 변환하여 위상 정보에 워터마크를 삽입한다. 그리고 워터마크 추출 단계에서는 워터마크된 영상으로부터 계층적으로 워터마크를 추출하여 자기 상관관계 비교에 의해 워터마크를 추출한다. 실험 결과를 통하여 이동, 크기 변환, 회전과 같은 기하학적인 변형에도 워터마크가 추출되는 것을 볼 수 있다.

• Proceedings of the Korean Information Science Society Conference
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• 1999.10a
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• pp.201-203
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• 1999

지리정보시스템의 정보를 관리하는 공간데이터베이스 관리시스템에서는 위상정보에 대한 효율적인 저장과 관리가 필요하다. 이렇게 기하학적인 정보만을 가진 객체의 자료 구조에 위상정보를 추가하거나 또는 위상적인 정보만으로 이러한 지도를 만드는 작업을 위상정보 구축작업이라고 한다. 공간데이터베이스의 위상정보를 생성하는 작업은 많은 연산과 상당한 시간을 요구하므로 일종의 장기 트랜잭션이라 할 수 있다. 이런 위상정보 구축 트랜잭션은 위상적 데이터의 특성을 이용하면 기존에 제안된 방법보다 효과적으로 처리할 수 있다. 본 논문에서는 위상정보 생성시의 장기 트랜잭션을 위하여 정의한 위상구축 트랜잭션이 완전성을 유지하면서 하위 트랜잭션으로 나눌수 있도록 Plane-sweeping을 이용한 위상구축 알고리즘을 제안하였다. 이 방법을 이용하면 위상구축이 수행되는 동안에도 위상이 구축되어 있는 지역에 대한 질의의 결과를 보장할 수 있다.

• Spatial Information Research
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• v.20 no.2
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• pp.117-127
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• 2012

The purpose of this study is to develop the auto-building algorithm of the Geometric Network Model(GNM), a topology model including geometric information because of the need to reflect the features' geometric characteristic into the topology model, which is for development of indoor 3D virtual model enabling queries. As the critical algorithm, the Straight Medial Axis Transformation(SMAT) algorithm is proposed in order to automatically extract the medial axis of features. The SMAT algorithm is generalized from the existing S-MAT algorithm and a range of target features where applicable is extended from simple polygons to weakly simple polygons which mean the polygons containing the inner ring inside. The GNM built automatically is finally printed out as the .csv file for easy access and w ide application in other systems. This auto-building algorithm of the GNM is available for plenty of cases such as finding a shortest path, guiding a route in emergency situation, and semantic analysis.

• Journal of Korea Multimedia Society
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• v.8 no.9
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• pp.1195-1207
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• 2005

In this paper, we describe image matching techniques which is automatically retrieving the exact matching area using geometry-phase information. We proposed a Matching Method which is rapidly estimating the correspondent points between adjacent images that included big-rotation and top-bottom movement element. It is a method that reduce computation quantity to be required to find an exact correspondent position using geometry-phase information of extracted points in images and DT map which set the distance value among feature points and other points on the basis of each feature point of a image. The proposed method shows good performance especially in the part to search a exact correspondent position between adjacent images that included big-rotation and top-bottom movement element.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.16 no.1
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• pp.291-299
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• 2016

This paper raises a question of whether a simple periodic phenomenon is associated with the topology and provides the convincing answers to it. A variety of music instrumental sound signals are used to prove our assertion, which are embedded in Euclidean space to analyze their topologies by computing the homology groups. A commute time embedding is employed to transform segments of waveforms into the corresponding geometries, which is implemented by organizing patches according to the graph-based metric. It is shown that commute time embedding generates the intrinsic topological complexities although their geometries are varied according to the spectrums of the signals. This paper employs a persistent homology to determine the topological invariants of the simplicial complexes constructed by randomly sampling the commute time embedding of the waveforms, and discusses their applications.

• The Optical Journal
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• s.124
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• pp.17-19
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• 2009

첨단산업분야에서 광기술의 위상이 높아지면서 '광학'에 대한 교육, 연구, 기술개발 등을 주목적으로 하는 대학의 특성화 학과들이 전국에 11개에 달하는 가운데 그중 공주대학교 영상광정보공학부(광공학전공)가 주목받고 있다. 광학분야 취업률 100% 달성, 올해 치러진 광학기사 시험에서 전체 응시자중 35.3%에 달하는 12명의 합격자를 배출했다는 점만 보더라도 차별성을 쉽게 찾을 수 있다. 이번호에서는 광학전문가들의 산실로 떠오르고 있는 공주대학교 기하공학연구실을 찾아 이준호 교수로부터 최근의 연구 활동 및 교육 방향에 관해 들어보았다.