• Journal of the Korean School Mathematics Society
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• v.24 no.1
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• pp.39-57
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• 2021

In this study, mathematical analysis is conducted by focusing to the 'size' of the 'point' and the 'line'. The textbook descriptions of the 'point' and the 'line' in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum and US geometry textbooks were compared and analyzed between. First, as a result of mathematical analysis of' 'the size of a point and a segment', it was found that the mathematical perspectives could be different according to 1) the size of a point is based on the recognition and exclusion of 'infinitesimal', and 2) the size of the segment is based on the 'measure theory' and 'set theory'. Second, as a result of analyzing textbook descriptions of the 'point' and the 'line', 1) in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum, after presenting a learning activity that draws a point with 'physical size' or line, it was developed in a way that describes the 'relationship' between points and lines, but 2) most of the US geometry textbooks introduce points and lines as 'undefined terms' and explicitly states that 'points have no size' and 'lines have no thickness'. Since the description of points and lines in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum may potentially generate mathematical intuitions that do not correspond to the perspective of Euclid geometry, this study suggest that attention is needed in the learning process about points and lines.

• Journal of KIISE:Software and Applications
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• v.36 no.2
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• pp.122-130
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• 2009

Conventional approaches for car number plate detection have dealt with those input images having similar sizes and simple background acquired under well organized environment. Thus their performance get reduced when input images include number plates with different sizes and when they are acquired under different lighting conditions. To solve these problem, this paper proposes a new scheme that uses the geometrical features of number plates and their topological information with reference to other features of the car. In the first step, those edges constructing a rectangle are detected and several pixels neighboring those edges are selected as the seed pixels for region growing. For region growing, color and intensity are used as the features, and the result regions are merged to construct the candidate for a number plate if their features are within a certain boundary. Once the candidates for the number plates are generated then their topological relations with other parts of the car such as lights are tested to finally determine the number plate region. The experimental results have shown that the proposed method can be used even for detecting small size number plates where characters are not visible.

• Proceedings of the KIEE Conference
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• 2006.04a
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• pp.141-143
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• 2006

한국을 비롯한 동양 금석학 정보 인식의 중요한 매체인 탁본을 디지털 영상데이터로 변환하여 영상 특성을 분석하고 수학적 모델을 구현한다. 이를 위해 역사적으로 유명한 대표적 탁본을 포함한 50여개의 탁본영상 샘플을 작위로 선택하였고, 샘플영상 속에 내재되어 있는 영역특성을 중심으로 통계분석을 시도하였다. 탁본 원영상은 흑백의 두 영역으로 분할되는 완벽한 이진영상인데 반하여, 관측영상은 탁본뜨기 수작업과정을 거치면서 영역간 색도의 혼재와 얼룩무늬와 문양이 전체 영상에 분포한다. 본래의 두 영역은 정보영역과 바탕영역으로 구분되나 이들 얼룩무늬들은 또 다른 영역들로 치부되어 주로 바탕영역에 산발적으로 분포되어 영상인식을 저해하는 요인으로 작용한다. 관측영상 속에 내재되어 있는 영역 본래의 특성과 본뜨기 수작업 과정에서 새로 생성되는 영역들 사이의 기하학적 차이를 통계적으로 분류 처리함으로 관측 탁본영상의 영역 특성의 추이를 추론할 수 있다. 분석 결과, 탁본영상은 영역간 극단적인 확률적 차이를 보였으며, 이 양극성은 곧 탁본 원영상의 속성이 수작업과 관측이라는 훼손 과정을 거치면서도 보존됨을 의미한다. 이를 근거로 영역 특성과 훼손 과정을 수학적으로 모델링하였고 정보영역 추출의 일차적 개연성을 제시하였다.

• The KIPS Transactions:PartB
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• v.9B no.3
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• pp.369-374
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• 2002

In this paper, we propose the react-time car license plate recognition algorithm using intensity variation and geometric pattern vector. Generally, difference of car license plate region between character and background is more noticeable than other regions. And also, car license plate region usually shows high density values as well as constant intensity variations. Based on these characteristics, we first extract car license plate region using intensity variations. Secondly, lightness compensation process is performed on the considerably dark and brightness input images to acquire constant extraction efficiency. In the proposed recognition step, we first pre-process noise reduction and thinning steps. And also, we use geometric pattern vector to extract features which independent on the size, translation, and rotation of input values. In the experimental results, the proposed method shows better computation times than conventional circular pattern vector and better extraction results regardless of irregular environment lighting conditions as well as noise, size, and location of plate.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.46 no.6
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• pp.146-152
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• 2009

The steel-tube is exposed to a radiation from X-ray source. The transmitted radiation is detected by a detector, usually film or more recently an imaging plate(IP) of Computed Radiography(CR). The detected radiation overlaps the region of both sides of the object. The radiographic images reflect the projections of the rays, passing twice through both external and internal tube material. Nonlinear distortion due to the radioactive transmission and geometric disposition also appears on images. In this paper, an analytical approach is presented to achieve image reconstruction from the steel-tube CR images. Parameters related to radiation and measuring structure, such as intensities, absorption in material and geometric specifications linked with the collimating components, are calculated and identified in order to construct the renoval images for twofold regions of circle-type steel tubes. A correction procedure for region recovery most similar to the true tube is designed. The application of this approach on CR images is shown and reconstructed results are discussed.

• Education of Primary School Mathematics
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• v.18 no.1
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• pp.17-30
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• 2015

The purpose of this study is to identify how developed program influence students' creativity by analyzing creative thinking and creative attitude which is appeared when mathematically gifted students get the program expected to improve their creativity. For the study, the 'dimension based geometry exploring program' was developed that consist of twelve lessons. The main idea of it, is implication of the novel . Through a pre and post-test, students's creativity were measured and compared. The results show significant changes on the scores of creative thinking skills and creative attitudes. As the result, mathematically gifted students' creative thinking skills and creative attitudes were improved by applying the of dimension based geometry exploring program.

• Education of Primary School Mathematics
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• v.23 no.1
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• pp.27-44
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• 2020

In this study, we extracted geometrical learning content that is treated similarly in elementary and middle schools, and analyzed the differences between how this study is handled in elementary and middle schools. The analysis tools used in this study were developed by referring to the research results presented by Merrill. Merrill classified the study results into two dimensions: 'performance level' and 'content type', and 'teach station' and 'proposal type' by presenting the contents in the textbook. Based on this classification, this study was conducted. According to the results of the study, nine achievement criteria were extracted as learning factors that were treated similarly in elementary and middle schools. The extracted learning elements were systematically analyzed through analysis tools. The results of this study are expected to provide significant implications for the improvement of mathematics learning and for the improvement of new curricula.

• Journal of KIISE:Information Networking
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• v.31 no.3
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• pp.243-251
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• 2004

This paper proposes a digital image watermarking scheme, which is robust to geometrical attacks. The method improves image normalization-based watermarking (INW) technique that doesn't effectively deal with geometrical attacks with cropping. Image normalization is based on the moments of the image, however, in general, geometrical attacks bring the image boundary cropping and the moments are not preserved original ones. Thereafter the normalized images of before and after are not same form, i.e., the synchronization is lost. To solve the cropping problem of INW, Invariant Centroid (IC) is proposed in this paper. IC is a gravity center of a central area on a gray scale image that is invariant although an image is geometrically attacked and the only central area, which has less cropping possibility by geometrical attacks, is used for normalization. Experimental results show that the IC-based method is especially robust to geometrical attack with cropping.

• Journal of Korea Multimedia Society
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• v.9 no.5
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• pp.624-634
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• 2006

This paper presents a new watermarking scheme that is robust against geometrical attacks such as translation and rotation. The proposed method is based on the conventional PSADT(Polar Coordinates Shape Adaptive Discrete Transform) method which is an robust watermarking scheme for an arbitrarily-shaped image such as character images. The PSADT method shows perfect robustness against geometrical attack if there is no change in the shape of the image object. However, it cannot be utilized to watermark general rectangular images because of the missing alignment between the watermarked signals in the embedding and extracting side. To overcome this problem we propose a new watermarking scheme that aligns the watermark signal using the image inherent feature, especially corner. Namely the proposed method decides a consistent target region whose shape and position isn't changed by any malicious attack and then embeds the watermark in it using the PSADT method. Experimental results show the robustness of the proposed method against geometrical attacks as well as image compression.

• Journal of the KSME
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• v.34 no.3
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• pp.177-184
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• 1994

이 글에서는 기하공차의 기본적인 개념들에 대한 설명과 삼차원측정기 응용소프트웨어에서 기하 공차를 평가하기 위한 수학적인 방법들에 대해 소개하였다. 최소영역법은 ISO규격에 의한 공차 평가법이란 점에서 근래의 연구의 대부분을 차지하고 있으나 표준적인 알고리즘이라 할 수 있는 방법은 아직 발표되지 않고 있으며 실용적인 소프트웨어의 경우 최소자승법을 근간으로 하고 있는 실정이다. 최근에는 이러한 형상추출과 기하공차평가를 포함하는 좌표식 측정기 술(coordinate metrology)이 컴퓨터통합생산(computer integrated manufacturing)시스템 구축에 있어서 아킬레스건이라 할 수 있는 컴퓨터원용검사(computer aided quality control)의 핵심적인 기술로 인식되어 선진국에서는 이미 표준기술을 확립하고자 하는 목적으로 체계적인 지원하에 연구를 수행하고 있다. 그러므로 국내에서도 품질보증에 의한 제조업 분야의 생산성 제고를 위 하여 좌표식 측정기술에 대한 연구와 투자가 시급하며 국내의 표준기술 확립이 절실히 요청되고 있다하겠다.