• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2001.10a
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• pp.165-168
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• 2001

It is possible to classify image data into two types according to the internal representation: one is bitmap, the other is vector. A bitmap image is represented by the two dimensional pixels whereas a vector image is represented by mathematical functions to draw vector objects such as line, rectangle and circle on the two or three dimensional space. So it is necessary for users to use a individual application program for each different image. In this paper, we present a method for designing and implementation of image editing tool based on combining of bitmap and vector image.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2006.05a
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• pp.796-799
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• 2006

This paper presents a new method for automatic detection of skew in a document image using mathematical morphology. To speed up processing, we use reduced image but it still requires long time to estimate the skew angle so the proposed method works with region of interest, not with whole image. Character strings are connected by using morphological closing operation and a component labeling is used to select region of interest. The method considers the lowermost pixels of characters in candidate regions in the binary image of original document image. Experimental results shows that the proposed method is extremely fast and robust as well as independent of script forms.

• Journal of Internet of Things and Convergence
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• v.10 no.2
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• pp.51-60
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• 2024

Aiming at the problem of low contrast and difficult to recognize video images in low-light environment, we propose an adaptive contrast compensation enhancement algorithm based on human visual perception. First of all, the video image characteristic factors in low-light environment are extracted: AL (average luminance), ABWF (average bandwidth factor), and the mathematical model of human visual CRC(contrast resolution compensation) is established according to the difference of the original image's grayscale/chromaticity level, and the proportion of the three primary colors of the true color is compensated by the integral, respectively. Then, when the degree of compensation is lower than the bright vision precisely distinguishable difference, the compensation threshold is set to linearly compensate the bright vision to the full bandwidth. Finally, the automatic optimization model of the compensation ratio coefficient is established by combining the subjective image quality evaluation and the image characteristic factor. The experimental test results show that the video image adaptive enhancement algorithm has good enhancement effect, good real-time performance, can effectively mine the dark vision information, and can be widely used in different scenes.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.335-353
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• 2022

The purpose of this study is to identify the characteristics and types of errors in the conceptual image of Korean language learners according to the types of terms in mathematics that are the basis for solving mathematical word problems, and to prepare basic data for effective teaching and learning methods in solving the word problems of Korean language learners. To do this, a case study was conducted targeting four Korean language learners to analyze the specific conceptual images of terms registered in curriculum and terms that were not registered in curriculum but used in textbooks. As a result of this study, first, it is necessary to guide Korean language learners by using sufficient visualization material so that they can form appropriate conceptual definitions for terms in school mathematics. Second, it is necessary to understand the specific relationship between the language used in the home of Korean language learners and the conceptual image of terms in school mathematics. Third, it is necessary to pay attention to the passive term, which has difficulty in understanding the meaning rather than the active term. Fourth, even for Korean language learners who do not have difficulties in daily communication, it is necessary to instruct them on everyday language that are not registered in the curriculum but used in math textbooks. Fifth, terms in school mathematics should be taught in consideration of the types of errors that reflect the linguistic characteristics of Korean language learners shown in the explanation of terms. This recognition is expected to be helpful in teaching word problem solving for Korean language learners with different linguistic backgrounds.

• Korean Journal of Optics and Photonics
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• v.31 no.1
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• pp.26-30
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• 2020

First, if we want to design and construct a robotic camera, we need to understand the parallax errors between adjacent images, caused by rotation and movement of the robotic camera system. In this paper, we try to derive the mathematical formulation of parallax error and connect it to a conventional lens system, to obtain a useful, generalized, analytic algebraic expression for the parallax error. Utilizing this expression, we can structurally design a robotic camera, and study the Google ART camera as an example of a robotic camera.

• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.249-283
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• 2008

The purpose of the study was to investigate the definitions and concept images of Infinity and limits for high school students. In addition, the error patterns of the students were also investigated. The participants were 121 girls highschool students and survey method was used to co11ed data. Only 11 % and 5% of the participants revealed the definitions similar to the standard textbook definitions in limits of infinite sequences and infinite series respectively. The participants showed 6 types of error patterns and had more difficulties in understanding and applying concepts and properties of infinite series than those of infinite sequences.

• Journal of Educational Research in Mathematics
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• v.17 no.4
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• pp.437-452
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• 2007

Complementarity, complementary principle and complementary approach have been often used in school mathematics but its meaning has not been obvious. Thus this paper tries to make explicit the meaning by looking around complementary characteristic of mathematical knowledge. First of all, we examines the general meaning of complementarity and Investigate complementary characteristics of mathematical concepts through incommensurability and zeno's paradox. From this, complementary approach to school mathematics is studied. To understand and uncover complementary characteristics of mathematical concepts make it possible for student to have an insight. It is the most important thing that students can have an image of mathematics as a living system rather than as a mechanical application of rules and fragmentary in formations.

• Proceedings of the Korean Society for Emotion and Sensibility Conference
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• 1999.11a
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• pp.251-255
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• 1999

현대인의 활동범위가 넓어지고 작업의 양이 많아지면서, 육체적ㆍ정신적 피로를 해결할 수 있는 쾌적환경에 대한 관심이 높아지고 있다. 쾌적감이란 인간이 쉽게 동조하고 물입할 수 있어서, 인간과 환경이 일체가 되기 쉬운 상태로서 이에 대한 연구가 활발히 진행되어오고 있다. 본 논문은 수학적으로 표현하기 어려운 인간의 쾌적감 요소이미지와 물리적 환경 요소의 구조 분석에 신경망 이론을 적용한다. 인간감성 모델과 역인간감성모델을 제안하여, 지능제어 이론인 신경망(Neural Network)이 쾌적감 요소이미지와 물리적 환경 요소의 구조 분석에 유용하게 사용될 수 있음을 보인다.

• Journal of the Korea Computer Graphics Society
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• v.4 no.1
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• pp.41-46
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• 1998

An image processing techniques for image compression and its reconstruction are to be considered seriously for the generated huge size data as in the present multimedia environment based on the graphics. So far some approaches for this matter are proposed such as a Wavelet and JPEG method and got desirable result. In this paper, we have studied for the rms(root mean square) metric which is more effective than the existing sup(supremum)metric, and compared with sup metric by means of mathematical verification.

• Journal of the Korean School Mathematics Society
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• v.6 no.2
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• pp.71-85
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• 2003

In this paper we study the usefulness of Maple in school calculus education. The use of computer and calculator is debated in many aspect in mathematics education. By the computer visualization of mathematical image and proper use of computer we can teach inductively and intuitively the mathematical concept and give rise to the students' interest. Maple is very popular in college but is not in middle school because of language. Maple application which is made by Maplet is very useful multimedia teaching-learning tools. We introduce the use of Maplet and some application of the calculus course which we made.