• Journal of Digital Convergence
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• v.11 no.2
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• pp.215-220
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• 2013

They are well-known geometric properties of a circle that the perpendicular bisector of a chord passes through the center of a circle, and the intersection of the perpendicular bisectors of any two chords is its center. This paper is related to a fast pupil detection method capable of detecting the center and the radius of a pupil using these geometric properties at high speed when detecting the pupil region for iris segmentation. The proposed method is characterized as rapidly detecting the center and the radius of the pupil, extracting the candidate points of the circle in human eye images using morphological operations, and finding two chords using four points on the circular edge, and taking the intersection of the perpendicular bisectors of these two chords for its center. The proposed method can not only detect the center and the radius of a pupil rapidly but also find partially occluded pupils in human eye images.

• Journal of Dental Rehabilitation and Applied Science
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• v.27 no.1
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• pp.41-50
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• 2011

The gingival zenith is the most apical point of the gingival outline. This study aimed to quantify the mesio-distal and apico-coronal displacements of gingival zenith in maxillary anterior dentition. 50 healthy patients, who ranged in age from 25 to 36 years were recruited for the study. Alginate impressions of the study group were made and poured with the type III stone. The gingival zenith positions of maxillary anterior teeth were measured in a mesial-lateral direction from the vertical bisected midline. The apico-coronal displacements of the gingival zenith of lateral incisors were measured from a line joining the gingival zeniths of the central incisor and canine. The gingival zeniths were distally displaced in 90%, 53% and 23% of the maxillary cetral incisors, lateral incisors and canines respectively. The mean distal displacements of the gingival zeniths to the vertical bisected midline of central incisors, lateral incisors and canines were 0.90 mm, 0.29 mm and 0.06 mm respectively. The gingival zeniths of lateral incisors were positioned $0.73{\pm}0.43$ mm coronally to the line joining the gingival zenith of central incisors and canines. Consideration of these findings may improve restorative procedures in the anterior maxillary dentition.

• The Mathematical Education
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• v.60 no.1
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• pp.61-76
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• 2021

The purpose of this study is to analyze the errors and difficulties which pre-service secondary teachers shows during the task modification in consideration of the cognitive demand and to provide significant implications to the pre-service teacher education program related to the modification of the mathematical tasks. In the pursuit of this purpose, tasks were selected from perpendicular bisector units and 24 pre-service teachers were asked to modify the tasks to higher and lower level tasks. After the modification activities, opportunities for reflection and modification were provided. The findings from analysis are as follows. Pre-service teachers had a difficulty to distinguish between PNC tasks and PWC tasks. Also, We identified the interference phenomena that pre-service teachers depended on the apparent elements of the task. Pre-service teachers showed a tendency to overlook the learning objectives and learning hierarchy during the task modification, and to focus on some types of task modification. However, pre-service teachers were able to have meaningful learning opportunities and extend the category of tools to technology including Geogebra through self-reflection and correction activities on task modification. The above results were summed up and we presented the implications to the task modification program in the pre-service secondary teacher education.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.143-161
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• 2009

This study was designed to gain insights into students' visualization process in geometric problem solving. The visualization model for analysing visual process for geometric problem solving was developed on the base of Duval's study. The subjects of this research are two Grade 9 students and six Grade 10 students. They were given 2D-geometric problems. Their written solutions were analyzed problem is research depicted characteristics of process of visualization of individually. The findings on the students' geometric problem solving process are as follows: In geometric problem solving, visualization provided a significant insight by improving the students' figural apprehension. In particular, the discoursive apprehension and the operative apprehension contributed to recognize relation between the constituent of figures and grasp structure of figure.

• Proceedings of the Korean Society of Computer Information Conference
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• 2014.01a
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• pp.59-61
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• 2014

본 논문에서는 단일의 카메라로부터 획득한 영상에 있는 동공 중심을 실시간으로 검출하는 알고리즘을 제안한다. 제안하는 방법은 원에서 현의 수직이등분선은 그 원의 중심을 지난다는 사실을 이용하여 동공의 현을 찾고 동공 중심을 계산하는 것이다. 먼저 VPF(Variance Projection Function)을 이용해 일차적으로 동공 중심을 탐지한다. 탐지된 중심점을 기준으로 원을 탐색하여 정확한 동공 중심점을 찾는다. 실험을 통하여 제안한 방법은 높은 검출율과 처리시간 관점에서 우수함을 보인다.

• Proceedings of the IEEK Conference
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• 2000.09a
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• pp.461-464
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• 2000

본 논문에서는 복잡한 배경과 조명의 영향과 그리고 얼굴의 크기가 변화하는 경우에도 주어진 영상으로부터 얼굴을 검출하는 새로운 효율적인 방법을 제안한다. 정면 얼굴의 경계선이 타원과 유사한 형태를 가지며 얼굴을 수직으로 이등분하는 직선을 기준으로 얼굴의 좌우 외곽선은 반사 대칭 (reflection symmetry) 의 조건을 만족한다. 이러한 반사 대칭의 조건을 허프 (Hough) 변환과 유사한 타원 모델링에 결합하여 주어진 영상에서 얼굴을 검출한다. 얼굴이 포함된 다양한 영상에서 실험을 통하여 제안한 얼굴 검출방법의 타당성을 확인하였다.

• The korean journal of orthodontics
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• v.40 no.1
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• pp.6-15
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• 2010

Objective: The aim of this study is to find the most helpful midsagittal reference plane for diagnosis in PA cephalometry compared with 3D CT. Methods: The subjects consisted of 25 adults who showed no facial asymmetry by gross inspection. 3D CT and posteroanterior cephalogram of the subjects were taken. To find the most helpful midsagittal reference plane in PA cephalometry, we considered five kinds of midsagittal planes from which the distances to five landmarks were measured and compared the result with that of 3D CT. The midsagittal plane for 3D CT was determined by the landmarks Nasion, Sella and Basion. Results: PA measurements using the midsagittal reference plane on a perpendicular plane lying through the midpoint of the right and left latero-orbitales was closest to those of 3D CT. Conclusions: It was considered that latero-orbitale perpendicular could be used as the helpful midsagittal reference plane to assess facial asymmetry in PA cephalometry.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.39 no.8
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• pp.750-757
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• 2011

Wireless Sensor Network is composed of a lot of sensor nodes that are densely deployed in a field. So generally this sensor nodes are spreaded using Helicopter or Fixed wing. Each node delivers own location and acquired information to user when it detects specific events. In this paper, we propose localization algorithm without range information in wireless sensor network using helicopter. Helicopter broadcasts periodically beacon signal for sensor nodes. Sensor nodes stored own memory this beacon signal until to find another beacon point(satisfied special condition). This paper develops a localization mechanism using the geometry conjecture(perpendicular bisector of a chord) to know own location. And the simulation results demonstrate that our localization scheme outperforms Centroid, APIT in terms of a higher location accuracy.

• Journal of Korea Multimedia Society
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• v.8 no.3
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• pp.336-344
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• 2005

In this paper, we extracted the contour of lung parenchyma on EBT images with the improved active contour model. The objects boundary in conventional active contour model can be extracted by controlling internal energy and external energy as energy minimizing form. However, there are a number of problems such as initialization and the poor convergence about concave part. Expecially, contour can not enter the concave region by discouraging characteristic about stretching and bending in internal energy. We controlled internal energy by moving local perpendicular bisector point of each control point in the contour and implemented the object boundary by minimizing energy with external energy The convergence of concave part could be efficiently implemented toward lung parenchyma region by this internal energy and both lung images for initial contour could also be detected by multi-detection method. We were sure this method could be applied detection of lung parenchyma region in medical image.

• The korean journal of orthodontics
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• v.30 no.1 s.78
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• pp.1-7
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• 2000

It is important that the orthodontist accurately assess the degree to which facial asymmetry contributes to a given malocclusion before treatment planning. P-A, submentovertex and verticosubmental view have been used in the assessment of facial asymmetry. Among them, submentovertex view is rarely used because it has low reproducibility and is short of normal data and proper analysis method. The purpose of this study was to develop a submentovertex cephalomentrics and obtain normal data in Korean adults. The subjects consisted of 40 normal adults (male : 22, female 18) without the experience of orthodontic treatment. We find the 2 angular and 9 linear measurements. Though submentovertex cephalomentrics has the limitation in comparing the absolute length between right and left, it is useful to examine the relationship of skeletal and dental midline, the shape and location of condyle head and the shape of mandibular body in submentovertex view Therefore, if we understand the limitation of submentovertex cephalomentrics and use lateral , P-A and submentovertex cephalomentrics together, we will measure the location and amount of skeletal disharmony more exactly.