• 제목/요약/키워드: Imaginary Number

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컴프턴 카메라를 위한 재배열 기반 확정론적 영상재구성법 (Rebinning-Based Deterministic Image Reconstruction Methods for Compton Camera)

  • 이미노;이수진;서희
    • 대한의용생체공학회:의공학회지
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    • 제32권1호
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    • pp.15-24
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    • 2011
  • While Compton imaging is recognized as a valuable 3-D technique in nuclear medicine, reconstructing an image from Compton scattered data has been of a difficult problem due to its computational complexity. The most complex and time-consuming computation in Compton camera reconstruction is to perform the conical projection and backprojection operations. To alleviate the computational burden imposed by these operations, we investigate a rebinning method which can convert conical projections into parallel projections. The use of parallel projections allows to directly apply the existing deterministic reconstruction methods, which have been useful for conventional emission tomography, to Compton camera reconstruction. To convert conical projections into parallel projections, a cone surface is sampled with a number of lines. Each line is projected onto an imaginary plane that is mostly perpendicular to the line. The projection data rebinned in each imaginary plane can then be treated as the standard parallel projection data. To validate the rebinning method, we tested with the representative deterministic algorithms, such as the filtered backprojection method and the algebraic reconstruction technique. Our experimental results indicate that the rebinning method can be useful when the direct application of existing deterministic methods is needed for Compton camera reconstruction.

아바타 패션시장의 현재와 미래 -아바타 시장 패션 마케팅의 전략적 접근- (The Present and Future of Avata Fashion Market - The Strategic of Avata Fashion Marketing-)

  • 송영주
    • 한국의상디자인학회지
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    • 제5권1호
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    • pp.47-57
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    • 2003
  • Today there are increasing number of internet users. Internet is wide use of banking, shopping, school and studding. Also, internet is used in everyday living and its use is getting larger. Korea has the one of the most use of internet in the world. Most of houses have computer with internet, and there are alot of PC rooms in the streets. anyone can enjoy the internet anytime anywhere. Now, in internet there are group formed by community purpose. The 'dot com' companies was not making much of profit from their goods. However, they came out with an idea "avata" Soon, the avata became a hit and its known for its success. Avata is used for E-mail, name card, post stamp, and chatting. Also, Avata is very popular among chatting service, icon chatting, and 3D graphic chatting. Avata represent the user himself in internet and computer created imaginary space, and it connects between imaginary space and reality, also it exist between real name and nick name. Past years, the internet users were satisfied with their nick name, however resent year users wants to express them more. For the result the "Avata" is created to fulfill the need to express user themselves. There are three different ways to see how Korean react to fashion industry. first, Korea's land structure makes the density of population high, the transmission of information is very fast. Next, collectively is high among Koreans. Finally wide use to internet made the transmission of the fashion information much faster. The User wants to keep up with the fashion at the sametime they want to express themselves, and "avata" is the one that fulfill their needs. New technology and the desire to express themselves made the new term "avata industry". which was never existed before. In addition, the internet markets have potential power. Although, it is in start stage of avata industry. However, the experts say that its possibility of its development is not predictable. In conclusion, watch the development of a situation to analyze the avata industry and develop new avata fashion market.

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저주파수 영역에서 측정된 사질토의 유전특성 (Complex Permittivity of Sand at Low Frequency)

  • 오명학;김용성;박준범;윤현석
    • 한국지반공학회논문집
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    • 제21권2호
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    • pp.93-103
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    • 2005
  • 본 연구에서는 저주파수 영역에서 유전상수 측정시 발생할 수 있는 왜곡효과를 규명하고, 함수비에 따른 사질토의 유전상수 변화를 실수부와 허수부를 구분하여 조사하였다. 축전기 형태의 셀에서 유전상수를 측정하는 경우 100kHz 이하의 주파수 영역에서 전극분극효과에 의하여 실제 매질의 유전상수보다 크게 측정되었기 때문에 전극 분극효과에 의한 영향을 배제하기 위해서는 100kHz 이상의 주파수에서 유전상수가 평가되어야 하는 것으로 판단되었다. 함수비에 따른 사질토의 유전상수를 평가한 결과 체적함수비 증가에 따라 연속적인 증가경향을 나타내었다. 이는 유전상수 실수부의 경우에는 사질토에서 발생하는 분극이 단위체적당 쌍극자 모멘트에 비례하기 때문이며, 유전상수 허수부의 경우에는 함수비 증가에 따른 전도손실량이 증가하기 때문이다. 그러나 유전상수 실수부에서의 체적함수비에 따른 증가경향은 공간전하분극의 영향이 크지 많은 1MHz 이상의 주파수 영역에서 유효한 것으로 나타났다.

단수 계정에 다중 권한 부여가 가능한 다중 해시값 기반의 안전한 패스워드 인증 기법 설계 (The Secure Password Authentication Method based on Multiple Hash Values that can Grant Multi-Permission to a Single Account)

  • 문형진
    • 산업융합연구
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    • 제21권9호
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    • pp.49-56
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    • 2023
  • 개인별 서비스를 위한 ID 기반 인증으로 ID가 식별정보로 활용되고, 패스워드가 사용자 인증에 사용된다. 안전한 사용자 인증을 위해 패스워드는 클라이언트에서 해시값으로 생성하여 서버에 전달되고 서버에 저장된 정보와 해시값을 비교하며 인증을 수행한다. 하지만 패스워드의 해시값은 패스워드에서 한 개라도 틀리면 전혀 다른 해시값이 생성되어 사용자 인증에 실패하여 패스워드에 의한 다양한 기능을 적용할 수 없다. 본 연구에서는 입력된 패스워드의 해시값을 허수를 포함하여 여러 개 생성하고 서버에 전송해서 인증을 수행한다. 또한 제안 기법에서는 여러 권한을 가진 사용자가 하나의 계정으로 다양한 권한을 부여받을 수 있도록 패스워드에 따라 권한을 차등적으로 부여할 수 있다. 제안 기법을 통해 허수 패스워드를 생성함으로써 엿보기 공격을 차단하고, 패스워드 기반으로 권한을 부여하므로 다양한 권한을 가진 사용자에게 편리성을 제공할 수 있다.

Discrete Event Simulation의 차량 유지보수체계의 적용을 통한 유지보수 효율향상 연구 (Introduction of Discrete Event Simulation and Its Application to Railway Maintenance System)

  • 문형석;장창두;하윤석;조영천
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2005년도 춘계학술대회 논문집
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    • pp.48-57
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    • 2005
  • Discrete Event Simulation은 기존에 생산 분야에서 적용되어지는 이론중의 하나로 생산에서 발생되는 작업을 Event 기반으로 분류하고 각각의 경우를 기초로 Simulation하여 평가하는 기법이다. 철도차량의 중정비는 핵심부품의 정비를 단계별로 세분화하여 이루어지는데 틸팅차량을 포함하는 신형 철도차량의 경우 주요 정비부품이 많은 제어장치와 전자장치로 구성되어 있다 대차의 경우 많은 주요부품이 중복되어 이것을 체계적이며 효율적으로 유지 보수하는 것이 절실한 것이다. 이러한 부품의 상태를 점검하고 평가하는 것은 유지보수에 관련된 인력이 아닌 이와 관련된 분석기계일 것이고 틸팅차량의 경우 다량의 주요 부품에 대한 유지보수기계의 성능의 평가가 요구될 것이다. 본 논문은 이러한 필요성에 기초하여 작성되었다. 우선 Discrete Event Simulation의 개념을 간략히 소개하였고 Discrete Event Simulation의 5단계 알고리즘을 철도차량 유지보수기계 기반으로 수정하였다 그리고 유지보수 요구 조건에 기초하여 Simulation 알고리즘을 적용하였다. 본 논문은 Discrete Event Simulation의 이론을 이전에 적용된 사례가 없는 철도차량유지보수 분야에 소개하여 유지보수 효율의 극대화를 위한 기법을 적용하였으며 향후 철도차량 유지보수관련 기계의 성능 평가 및 적용에 있어 도움이 될 수 있는 참고 자료로 활용 가능할 것이다.

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대수체계의 발견에 관한 수학사적 고제

  • 한재영
    • 한국수학사학회지
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    • 제15권3호
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    • pp.17-24
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    • 2002
  • It will be described the discovery of fundamental algebras such as complex numbers and the quaternions. Cardano(1539) was the first to introduce special types of complex numbers such as 5$\pm$$\sqrt{-15}$. Girald called the number a$\pm$$\sqrt{-b}$ solutions impossible. The term imaginary numbers was introduced by Descartes(1629) in “Discours la methode, La geometrie.” Euler knew the geometrical representation of complex numbers by points in a plane. Geometrical definitions of the addition and multiplication of complex numbers conceiving as directed line segments in a plane were given by Gauss in 1831. The expression “complex numbers” seems to be Gauss. Hamilton(1843) defined the complex numbers as paire of real numbers subject to conventional rules of addition and multiplication. Cauchy(1874) interpreted the complex numbers as residue classes of polynomials in R[x] modulo $x^2$+1. Sophus Lie(1880) introduced commutators [a, b] by the way expressing infinitesimal transformation as differential operations. In this paper, it will be studied general quaternion algebras to finding of algebraic structure in Algebras.

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FFT를 위한 효율적인 Signal Reordering Unit 구현 (Efficient Signal Reordering Unit Implementation for FFT)

  • 양승원;이종열
    • 전기학회논문지
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    • 제58권6호
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    • pp.1241-1245
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    • 2009
  • As FFT(Fast Fourier Transform) processor is used in OFDM(Orthogonal Frequency Division Multiplesing) system. According to increase requirement about mobility and broadband, Research about low power and low area FFT processor is needed. So research concern in reduction of memory size and complex multiplier is in progress. Increasing points of FFT increase memory area of FFT processor. Specially, SRU(Signal Reordering Unit) has the most memory in FFT processor. In this paper, we propose a reduced method of memory size of SRU in FFT processor. SRU of 64, 1024 point FFT processor performed implementation by VerilogHDL coding and it verified by simulation. We select the APEX20KE family EP20k1000EPC672-3 device of Altera Corps. SRU implementation is performed by synthesis of Quartus Tool. The bits of data size decide by 24bits that is 12bits from real, imaginary number respectively. It is shown that, the proposed SRU of 64point and 1024point achieve more than 28%, 24% area reduction respectively.

점탄성층을 삽입한 3층 적층보의 진동감쇠특성에 관한 연구 (A Study on the Characteristics of Vibration Damping of a Beam with Inserted Viscoelastic Layer)

  • 박응순;박세만;박명균;박상규
    • 소음진동
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    • 제7권3호
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    • pp.511-519
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    • 1997
  • For a number of years it has been known that flexural vibration in a beam and plate can be damped by the application of layer of damping (viscoelastic) material that is in turn constrained by a backing layer or foil. In this study, a quantitative analysis of damping of the sandwich beam has been performed by using impact test. The damping is characterized by the loss factor .etha. in which the damping is normalized by imaginary part of the complex bending stiffiness of the beam. Results show that the relative thickness of the sandwich beam gives more effect on the riatural-frequencies and loss factor than the variation of width does. It is also shown that the Ross-Kerwin-Ungar equation and impact test can be effectively used to identify the damping characteristic of the sandwich beam and viscoelastic material.

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블록 병합 기법을 이용한 객체 경계 부분 부호화 (Object Boundary Block Coding Using Block Merging Method)

  • 이희습;김정식;김정우;이근영
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 추계종합학술대회 논문집
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    • pp.577-580
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    • 1999
  • Padding is a technique that enables applying conventional discrete cosine transform to encode boundary blocks of arbitrarily shaped objects by assigning imaginary values to the pixels that are not included in the object. Padding prevents the increase of high frequency DCT coefficients. However, in some boundary blocks, too many padded pixels are coded due to a small portion of object pixels. To reduce the number of padded pixels and to improve coding efficiency, we propose a block merging method for texture coding. The proposed mothed searches the shape information of boundary blocks and excludes the 4$\times$4 pixels of 8$\times$8 blocks if all the 4$\times$4 pixels are in the background region, and merges the remained 4$\times$4 pixels into new 8$\times$8 blocks. Experimental results show that our proposed method yields a rate-distortion gain about 0.5~1.6㏈ compared to conventional padding method, LPE

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ON THE INFINITE PRODUCTS DERIVED FROM THETA SERIES II

  • Kim, Dae-Yeoul;Koo, Ja-Kyung
    • 대한수학회지
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    • 제45권5호
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    • pp.1379-1391
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    • 2008
  • Let k be an imaginary quadratic field, ${\eta}$ the complex upper half plane, and let ${\tau}{\in}{\eta}{\cap}k,\;q=e^{{\pi}{i}{\tau}}$. For n, t ${\in}{\mathbb{Z}}^+$ with $1{\leq}t{\leq}n-1$, set n=${\delta}{\cdot}2^{\iota}$(${\delta}$=2, 3, 5, 7, 9, 13, 15) with ${\iota}{\geq}0$ integer. Then we show that $q{\frac}{n}{12}-{\frac}{t}{2}+{\frac}{t^2}{2n}{\prod}_{m=1}^{\infty}(1-q^{nm-t})(1-q^{{nm}-(n-t)})$ are algebraic numbers.