• Communications of Mathematical Education
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• v.21 no.3
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• pp.515-525
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• 2007

In this study, we study on equations of bisector and trisectors of angle. We analyze various studies related with bisector and trisectors of angle. As a result we have known that trisectors of angle is able to received by paper folding method. Using some concepts of vector we have described equations of bisector and trisectors of angle.

• Communications of Mathematical Education
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• v.22 no.1
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• pp.27-39
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• 2008

In this paper we study triangle's properties related with angle bisectors, perpendiculars, circumcenter using the principle of the lever. We analyze proof method using the principle of the lever, and describe how to investigate intersection of segments, how to prove equalities and inequalities using the principle of the lever in triangle.

• East Asian mathematical journal
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• v.26 no.2
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• pp.141-150
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• 2010

In this study, we study on the length of bisector of angle by the method using the area, the method using the vector and the method using the similarity, also the length of trisector of angle by the method using the sine law, the method using the area and the method using the second law of cosine in triangle, respectively. And we study on the length of trisector of angle with the length of bisector in angle. This study is expected to use the learning materials for the interesting construction and the problem solving using trigonometric functions.

• 한국HCI학회:학술대회논문집
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• 2009.02a
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• pp.1233-1238
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• 2009

This study's aim was to confirm that pseudoneglect affects visual attention through car laterality, using a driving simulator with either bisection or quadrisection strategies being applied to road usage. On the pencil and paper tests, the left quadrisection and bisection marks deviated significantly to the left. While driving, the car was significantly lateralized to the right of the lane regardless of conditions. However, in terms of relative laterality, the biggest left laterality occurred on roads 1(bisection), while the smallest left laterality occurred on roads 2 (right quadrisection). Thus, the effect of pseudoneglect was demonstrated in both the pencil and paper tests and the driving simulation task. Also, roads 2 and 4, which were driven on the right side of the lane, showed a tendency for drivers to avoid the centerline, as this was the expected cause of right laterality. This study demonstrated that the pseudoneglect phenomenon can occur in a routine driving task.

• 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.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.30 no.2 s.245
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• pp.141-148
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• 2006

In this paper, a new offset algorithm for closed 2D lines with islands is introduced and the result is illustrated. The main point of the proposed algorithm is that every point is set to be an offset by using bisectors, and then invalid offset lines, which are not to be participated in offsets, are detected in advance and handled with an invalid offset edge handling algorithm. As a result, raw offset lines without local invalid loops are generated. The proposed offset method is proved to be robust and simple, moreover, has a near O(n) time complexity, where n denotes the number of input lines. In addition, the proposed algorithm has been implemented and tested with 2D lines of various shapes.

• Therapeutic Science for Rehabilitation
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• v.2 no.2
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• pp.67-75
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• 2013

Objective : This study aims to investigate the effect of listening to music for the reduction of unilateral neglect in stroke patients. Methods : This study used a single subject (A-B) design for a stroke patient with unilateral neglect. The subject was trained for 12 sessions in total. Unilateral neglect was measured using a line bisection test and catherine bergego scale. Results : The line bisection test showed decreased mean error scores of treatment period(B) compared with baseline period(A). and catherine bergego scale showed slightly decreased total scores of treatment period(B) compared with baseline period(A). Conclusion : The listening to music showed a beneficial effect for the reduction of unilateral neglect.

• Therapeutic Science for Rehabilitation
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• v.2 no.1
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• pp.57-65
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• 2013

Objective : This study aims to investigate the effect of listening to music for the reduction of unilateral neglect in stroke patients. Methods : This study used a single subject (A-B) design for a stroke patient with unilateral neglect. The subject was trained for 12 sessions in total. Unilateral neglect was measured using a line bisection test and catherine bergego scale. Results : The line bisection test showed decreased mean error scores of treatment period(B) compared with baseline period(A). and catherine bergego scale showed slightly decreased total scores of treatment period(B) compared with baseline period(A). Conclusion : The listening to music showed a beneficial effect for the reduction of unilateral neglect.

• 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 Mathematical Education
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• v.41 no.2
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• pp.215-225
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• 2002

In this paper we consider some properties of. bisector of interior angle(theorem 1) and exterior angle(theorem 2) in triangle by using analogy. As a result of analyzing various mathematics textbooks we have known that they focused not on relation between two theorems, but on describing two theorems. We have seen that theorem 2 is able to be inferred from theorem 1 by using analogy. After proving theorem 1 by some methods we analyze proof process, extract proof ideas, and analogize some ideas for proving theorem 2. From this we are able to find relationships between theorem 1 and 2.