• Title/Summary/Keyword: mathematical knowledge

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Brain MR Multimodal Medical Image Registration Based on Image Segmentation and Symmetric Self-similarity

  • Yang, Zhenzhen;Kuang, Nan;Yang, Yongpeng;Kang, Bin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.3
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    • pp.1167-1187
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    • 2020
  • With the development of medical imaging technology, image registration has been widely used in the field of disease diagnosis. The registration between different modal images of brain magnetic resonance (MR) is particularly important for the diagnosis of brain diseases. However, previous registration methods don't take advantage of the prior knowledge of bilateral brain symmetry. Moreover, the difference in gray scale information of different modal images increases the difficulty of registration. In this paper, a multimodal medical image registration method based on image segmentation and symmetric self-similarity is proposed. This method uses modal independent self-similar information and modal consistency information to register images. More particularly, we propose two novel symmetric self-similarity constraint operators to constrain the segmented medical images and convert each modal medical image into a unified modal for multimodal image registration. The experimental results show that the proposed method can effectively reduce the error rate of brain MR multimodal medical image registration with rotation and translation transformations (average 0.43mm and 0.60mm) respectively, whose accuracy is better compared to state-of-the-art image registration methods.

A Didactic Analysis of Conditional Probability (조건부확률 개념의 교수학적 분석과 이해 분석)

  • Lee, Jung-Yeon;Woo, Jeong-Ho
    • Journal of Educational Research in Mathematics
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    • v.19 no.2
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    • pp.233-256
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    • 2009
  • The notions of conditional probability and independence are fundamental to all aspects of probabilistic reasoning. Several previous studies identified some misconceptions in students' thinking in conditional probability. However, they have not analyzed enough the nature of conditional probability. The purpose of this study was to analyze conditional probability and students' knowledge on conditional probability. First, we analyzed the conditional probability from mathematical, historico-genetic, psychological, epistemological points of view, and identified the essential aspects of the conditional probability. Second, we investigated the high school students' and undergraduate students' thinking m conditional probability and independence. The results showed that the students have some misconceptions and difficulties to solve some tasks with regard to conditional probability. Based on these analysis, the characteristics of reasoning about conditional probability are investigated and some suggestions are elicited.

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Development and Application of the Criteria of Evaluating Creative Product in Mathematical Gifted Education (수학영재의 창의적 산출물 평가 준거 개발 및 적용)

  • Lee, Chong-Hee;Kim, Ki-Yoen
    • School Mathematics
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    • v.12 no.3
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    • pp.301-322
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    • 2010
  • In this study, researchers developed the criteria evaluating mathematically gifted students' creative products, which contain such evaluation headings as cognitive abilities(; creativity, analytic thinking, expert skill and knowledge), performing ability of the Mathematically Gifted-Creative Problem Solving process. And then a case study is carried out to apply the criteria to an actual condition of mathematically gifted education. This case study shows that how teachers can apply those of model and criteria in actual condition of the mathematically gifted education. Through the criteria above mentioned, the characteristics of creative productivity can be grasped clearly and evaluated in detail.

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Economical image stitching algorithm for portable panoramic image assistance in automotive application

  • Demiryurek, Ahmet;Kutluay, Emir
    • Advances in Automotive Engineering
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    • v.1 no.1
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    • pp.143-152
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    • 2018
  • In this study an economical image stitching algorithm for use in automotive industry is developed for retrofittable panoramic image assistance applications. The aim of this project is to develop a driving assistance system known as Panoramic Parking Assistance (PPA) which is cheap, retrofittable and compatible for every type of automobiles. PPA generates bird's eye view image using cameras installed on the automobiles. Image stitching requires to get bird's eye view position of the vehicle. Panoramic images are wide area images that cannot be available by taking one shot, attained by stitching the overlapping areas. To achieve correct stitching many algorithms are used. This study includes some type of these algorithms and presents a simple one that is economical and practical. Firstly, the mathematical model of a wide view of angle camera is provided. Then distorted image correction is performed. Stitching is implemented by using the SIFT and SURF algorithms. It has been seen that using such algorithms requires complex image processing knowledge and implementation of high quality digital processors, which would be impracticle and costly for automobile use. Thus a simpler algorithm has been developed to decrase the complexity. The proposed algorithm uses one matching point for every couple of images and has ease of use and does not need high power processors. To show the efficiency, images coming from four distinct cameras are stitched by using the algorithm developed for the study and usability for automotive application is analyzed.

19th Century Chemistry Book of Korean Mathematician Sang-Seol LEE (한국 근대수학교육의 아버지 이상설(李相卨)이 쓴 19세기 근대화학 강의록 『화학계몽초(化學啓蒙抄)』)

  • Son, Yongkeun;Kim, Chae Sik;Lee, Sang-Gu;Lee, Jae Hwa
    • Korean Journal of Mathematics
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    • v.20 no.4
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    • pp.541-563
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    • 2012
  • Sang-Seol LEE wrote a manuscript HwaHakGyeMongCho(化學啓蒙抄) in the late 19th century. HwaHakGyeMongCho was transcribed from Science Primers: Chemistry (written by H. E. Roscoe), which is translated into Chinese by Joseph Edkins in 1886. LEE did not copy original writing exactly, but he understood the contents of each chapter and sections, then summarized and edited them in his caligraphic writing. In this paper, we introduce the contents for the first time and discuss the significance of this book.

The Fuzzy Controller for Spark Ignition Engine Knock Control (스파크 점화기관의 노킹제어를 위한 퍼지제어기 개발)

  • Lee, Jae-Hyung;Ham, Yun-Young;Chang, Kwang-Soo;Chun, Kwang-Min
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.223-231
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    • 1997
  • A variety of approaches have been investigated for the application of spark-ignition engine knock control. The control method implemented, here as "Fuzzy Control", has the advantage of not requiring the knowledge of a mathematical model of the controlled object and is more robust and flexible than conventional approaches. Knock control in this study is performed using vibration signal which is measured with accelerometer attached to the cylinder block of a 1498cc four-cylinder spark-ignition engine. The experimental results obtained with this method are compared with those obtained with a knock interval controller and with those of a conventional controller. Those results illustrate better performance in torque than knock interval controller and conventional controller.ontroller.

공공연구기관의 기술라이센싱 모형 연구 : 방법론과 함의를 중심으로

  • 박종복;류태규;이정동;김태유
    • Journal of Technology Innovation
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    • v.10 no.2
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    • pp.19-44
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    • 2002
  • All over the world, the attention on the exploitation of public research, which is mainly implemented by technology transfer, has increased in recent years. Licensing, which is one of representative mechanisms for public-to-private technology transfer, is accompanied by the frequent conflicts in negotiating a license payment between public research institutes (PRIs) and private firms. In spite of the body of literature on technology transfer in a licensing context, it focuses on contracts between private firms. Even the existing literature, which addresses public-to-private technology transfer through licensing, to our knowledge, has not yet formalized an established licensing model. This paper develops a mathematical model of public-to-private licensing, not hitherto tried by academics. The model addresses important issues to be applied comprehensively in licensing practice, such as determining a royalty rate, balancing between an initial payment and a running royalty, designing an inventor's incentive system, and setting a minimum payment as a screening criterion. The paper also provides reasonable management implications to controversial issues in technology transfer from PRIs to private firms, partly employing the comparative analysis between current stylized licensing practice and the one suggested in the model. We hope that study contributes to providing the foundation on which the theory on public-to-private licensing would extend to an in-depth level.

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An Analysis on Structural Knowledges by Concept Maps -Focused on Plane Figures in Elementary School- (개념도를 이용한 구조적 지식의 조사 연구 -초등학교 평면 도형 단원을 중심으로-)

  • 정승진;박배훈
    • Education of Primary School Mathematics
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    • v.2 no.1
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    • pp.65-73
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    • 1998
  • The purpose of this study is to investigate significant differences of structural knowledges among the groups(high, middle, low) when the 6th grade subjects structured the concepts of the plane figures, triangle and quadrangle, by concept maps, and to analyse the features of concept maps according to hierarchy. For this purpose, the following two research contents were investigated: 1. Investigating significant differences of structural knowledge in the concepts of the plane figures using concept maps among the groups(high, middle, low). 2. Analysing the features of concept maps according to hierarchy. The structural knowledges represented on the concept maps of triangle and quadrangle which were drawn by the subjects were analysed by propositions, hierarchies, and cross-links. Subject-self Reports about how to make the concept maps were used to analyse the features of concept maps according to hierarchy. The conclusions drawn from the results were as fellows: First, there were significant differences among the groups in proposition links. Second, there wasn't my significant difference among the groups in hierarchy. Third, there were significant differences among the groups in cross-links, and Fourth, the results of analysing the concept maps by hierarchy showed that there were differences among the individuals in constructing the knowledges.

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Communication Delay Properties in Performance Model of PROFIBUS Token Passing Protocol (PROFIBUS 토큰 패싱 프로토콜의 성능모델에서의 전송지연 특성)

  • Kim, Hyun-Hee;Lee, Kyung-Chang;Lee, Seok
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.511-514
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    • 2002
  • In may automated systems such as manufacturing systems and process plants, an industrial network or fieldbus is a very important component for the exchange of various and sometimes crucial information. Some of the information has a tendency to rapidly lose its value as time elapses after its creation. Such information or data is called real-time data that includes sensor values and control commands. In order to deliver these data in time, the fieldbus network should be tailored to have short delay with respect to the individual time limit of various data. Fine-tuning the network for a given traffic requires the knowledge on the relationship between the protocol parameters such as timer values and the performance measure such as network delay. This paper presents a mathematical performance model to calculate communication delays of the Profibus FMS network when the timer value TTR and the traffic characteristics are given. The results of this model is compared to those from experiments to assess the model's validity.

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Teaching of the value of mathematics: in the perspective of Michael Polanyi's philosophy (수학의 가치 교육: 폴라니의 인식론을 중심으로)

  • Nam, JinYoung
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.63-81
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    • 2014
  • Korean students have shown high achievements on the cognitive domain of mathematics in a range of international assessment tests. On the affective domain, however, significantly low achievements have been reported. Among the factors in the affective domain, this article discusses on the value of mathematics in the perspective of Michael Polanyi's philosophy, which centers personal knowledge and tacit knowing. Polanyi emphasizes abstractness and generalization in mathematics accompanied by intellectual beauty and passion. In his perspective, therefore, utilitarian aspects and usefulness of mathematics imparted through linguistic representations have limits in motivating students to learn mathematics. Students must be motivated from recognition of the value of mathematics formed through participating authentic mathematical problem solving activity with immersion, tension, confusion, passion, joy and the like.

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