• Title/Summary/Keyword: 변형 함수

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A Study on Image Integrity Verification Based on RSA and Hash Function (RSA와 해시 함수 기반 이미지 무결성 검증에 관한 연구)

  • Woo, Chan-Il;Goo, Eun-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.11
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    • pp.878-883
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    • 2020
  • Cryptographic algorithms are used to prevent the illegal manipulation of data. They are divided into public-key cryptosystems and symmetric-key cryptosystems. Public-key cryptosystems require considerable time for encryption and decryption compared to symmetric-key cryptosystem. On the other hand, key management, and delivery are easier for public-key cryptosystems than symmetric-key cryptosystems because different keys are used for encryption and decryption. Furthermore, hash functions are being used very effectively to verify the integrity of the digital content, as they always generate output with a fixed size using the data of various sizes as input. This paper proposes a method using RSA public-key cryptography and a hash function to determine if a digital image is deformed or not and to detect the manipulated location. In the proposed method, the entire image is divided into several blocks, 64×64 in size. The watermark is then allocated to each block to verify the deformation of the data. When deformation occurs, the manipulated pixel will be divided into smaller 4×4 sub-blocks, and each block will have a watermark to detect the location. The safety of the proposed method depends on the security of the cryptographic algorithm and the hash function.

3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates (지수 및 멱 법칙 점진기능재료 판의 3차원 자유진동해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Ahn, Jin-Hee;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.553-561
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    • 2015
  • The exponential and power law functionally graded material(FGM) theory is reformulated considering the refined shear and normal deformation theory. This theory has ability to capture the both normal deformation effect and exponential and power law function in terms of the volume fraction of the constituents for material properties through the plate thickness. Navier's method has been used to solve the governing equations for all edges simply supported plates on Pasternak elastic foundation. Numerical solutions of vibration analysis of FGM plates are presented using this theory to illustrate the effects of power law index and 3-D theory of exponential and power law function on natural frequency. The relations between 3-D and 2-D higher-order shear deformation theory are discussed by numerical results. Further, effects of (i) power law index, (ii) side-to-thickness ratio, and (iii) elastic foundation parameter on nondimensional natural frequency are studied. To validate the present solutions, the reference solutions are discussed.

A Surface Displaced From a Manifold (다양체 기반의 변위곡면)

  • Yoon, Seung-Hyun;Kim, Myung-Soo
    • Journal of the Korea Computer Graphics Society
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    • v.12 no.1
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    • pp.1-7
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    • 2006
  • 본 논문에서는 다양체 (manifold) 구조와 스칼라 변위함수 (scalar displacement function)에 기반한 새로운 변위곡면 (displaced surface)의 표현 기법을 제안한다. 변위곡면은 제어메쉬 (control mesh)의 각 정점에서 변위된 국소적 패치들 (displaced local patches)을 블렌딩 (blending)함으로써 생성된다. 제안된 변위곡면은 점 군 (point cloud)의 형태로 주어진 기하학적 모델을 근사하기 위해서 사용된다. 점 군의 데이터로터 제어메쉬가 생성되고, 점 군의 점들이 제어메쉬의 국소적 패치들 (local patches)에 사영 (projection)되어 각 패치들로 부터의 스칼라 변위함수가 구해지고, 이러한 변위함수들을 최적화 하여 높은 정밀도를 갖는 최종적인 곡면을 생성된다. 점 군의 형태로 주어진 다양한 모델에 대한 실험 결과를 통해서 제안된 근사기법의 효율성과 정밀도가 입증된다. 본 논문에서 제안된 표현기법은 다 단계 (multi-level) 변위함수를 통해 다중해상도 표현 (multi-resolution representations)과 골격기반 형상변형 (skeleton-driven deformation)등과 같은 다양한 응용들에 효율적으로 사용된다.

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Creation of Fractal Images with Rotational Symmetry Based on Julia Set (Julia Set을 이용한 회전 대칭 프랙탈 이미지 생성)

  • Han, Yeong-Deok
    • Journal of Korea Game Society
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    • v.14 no.6
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    • pp.109-118
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    • 2014
  • We studied the creation of fractal images with polygonal rotation symmetry. As in Loocke's method[13] we start with IFS of affine functions that create polygonal fractals and extends the IFS by adding functions that create Julia sets instead of adding square root functions. The resulting images are rotationally symmetric and Julia set shaped. Also we can improve fractal images by modifying probabilistic IFS algorithm, and we suggest a method of deforming Julia set by changing exponent value.

A Study about the Properties of Quadratic Functions and Classroom Implications from a Polynomial Perspective (다항식 관점에 의한 이차함수의 성질 탐구와 지도방안 탐색)

  • Cho, Cheong-Soo
    • Journal of the Korean School Mathematics Society
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    • v.9 no.2
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    • pp.121-139
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    • 2006
  • This study identified the problems of teaching quadratic functions using a translation and a vertex form by completing squares of which method make teaching contents not to be interconnected and tend to interfere students' conceptual understanding. This seems to generated from which the current mathematics curriculum is not organized to deliver the related contents of quadratic functions from polynomial expressions students have already known. To resolve it this study investigates the properties of quadratic functions from a polynomial perspective and discusses classroom implications with a couple of concrete applications.

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Successive Optimization of Information Granules-based Fuzzy Neural Networks (정보 입자 기반 퍼지 뉴럴 네트워크의 연속적 최적화)

  • Park, Keon-Jun;Oh, Sung-Kwun;Kim, Hyun-Ki
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1815-1816
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    • 2007
  • 본 논문에서는 데이터의 특성을 이용한 정보 입자 기반 퍼지 뉴럴 네트워크의 연속적 최적화를 제안한다. 데이터들간의 거리를 중심으로 C-Means 클러스터링 알고리즘을 이용하여 멤버쉽 함수를 정의하고 각 중심의 후반부 중심값을 이용하여 후반부 학습에 적용한다. 구조/파라미터 동정에 있어서 실수 코딩 기반 유전자 알고리즘을 이용하여 입력변수의 수, 입력 변수의 선택, 멤버쉽함수의 수, 후반부 형태와 같은 시스템의 입력 구조와 전반부 멤버쉽함수의 정점 및 학습율과 모멘텀 계수와 같은 파라미터를 최적으로 동정한다. 또한, 구조 연산과 파라미터 연산의 연속적 동조 방법을 이용하여 퍼지 뉴럴 네트워크를 최적화한다. 제안된 퍼지 뉴럴 네트워크는 삼각형 멤버쉽 함수를 이용하며, 후반부 추론에는 간략, 선형, 변형된 2차식을 이용한다. 제안된 퍼지 뉴럴 네트워크는 표준 모델로서 널리 사용되는 수치적인 예를 통하여 평가한다.

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A Study on Enhancing Hash Function Security against Collision Search Attack (충돌쌍 탐색 공격에 대한 해쉬 함수 안전성 강화에 관한 연구)

  • Jeong, Eun-Jin;Han, Jeong-Hoon;Kim, Seung-Joo;Won, Dong-Ho
    • Proceedings of the Korea Information Processing Society Conference
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    • 2008.05a
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    • pp.1120-1123
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    • 2008
  • 단방향 암호화 함수인 해쉬 함수는 2005년 Wang의 새로운 공격법이 발표되면서 안전성에 대한 문제점이 조금씩 드러나기 시작하고 있다. Wang의 새로운 차분 공격법은 현재 가장 널리 사용하고 있는 해쉬 알고리즘인 SHA-1을 이론적으로 $2^{69}$의 계산으로 충돌을 찾을 수 있다고 하였다. 본 논문에서는 차분 공격이 이루어지는 방법과 Wang의 차분 공격이 지니는 두 가지 특성에 대해서 연구하였고, MDx계열의 해쉬 함수의 안전성에 대한 기존의 제시된 해결책과 다른, 한 블록의 모든 워드 값을 변형 처리한 방식을 제안한다.

The Effect of Cement Milk Grouting on the Deformation Behavior of Jointed Rock Mass (시멘트현탁액 주입에 의한 절리암반의 역학적 특성 변화)

  • 김태혁;이정인
    • Tunnel and Underground Space
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    • v.13 no.5
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    • pp.331-343
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    • 2003
  • Though the Grouting has been in use for a long time, it is still regarded as an technique rather than engineering. The study of ground improvement by grouting is rare especially in jointed rock mass. In this study, biaxial compression tests were performed in the jointed rock mass models with .ough surfBce joints assembled with blocks before and after grouting. The load-deformation curves of the jointed rock masses showed a non-linear relationship before grouting but showed a relatively linear deformaion behavior after grouting. Improvement ratio (deformation modulus after grouting/deformation modulus before grouting) decreased with increasing joint spacing and lateral stress. Improvement ratio decreased exponentially with increasing deformation modulus of the rock mass model before grouting. Three-dimensional FDM analysis was performed to a highway tunnel case using experimental data of grouted rock. The convergence of the tunnel predicted after grouting by the numerical modelling coincided with those attained from the field measurement.

Comparison of Time-Dependent Deformation in Unconsolidated Mudstones with Different Clay Content (점토함량에 따른 미고결 이암의 시간 의존적 변형 비교)

  • Chang, Chan-Dong;Myoung, Woo-Ho;Lee, Tae-Jong
    • The Journal of Engineering Geology
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    • v.18 no.2
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    • pp.207-214
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    • 2008
  • We conducted uniaxial consolidation tests in mudstone samples with different clay content, in order to investigate time-dependent deformation and its characteristics. A significant amount of time-dependent strain was observed at a constant stress level immediately after a jump of stress was applied. For a given mudstone, the amount of time-dependent deformation was nearly proportional to the increment of stress, suggesting a linear viscous rheology. The amount of time-dependent strain increases with clay content, implying that clay plays an important role in creep of the unconsolidated mudstone. A power-law model was suitably applied to our results, suggesting that a short-term prediction of time-dependent deformation of the mudstone is tentatively feasible.

An Optimally-Modified Multichannel Wiener Filter Using Speech Presence Probability (음성존재확률을 이용한 최적 변형 다채널 위너 필터)

  • Jeong, Sangbae;Kim, Youngil
    • Smart Media Journal
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    • v.7 no.3
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    • pp.9-15
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    • 2018
  • This paper proposes an optimal gain modification method of the Multichannel Wiener filter (MWF) using speech presence probabilities. Conventional gain modification methods of MWFs have the problem of the increase of speech distortions while reducing residual noises with its relative heuristic approach. However, the proposed optimal gain modification method, derived by solving the unconstrained minimization problem of the probability-involved cost function, reduces amounts of residual noises and signal distortions simultaneously. Through an evaluation of the filtered waveforms and spectrograms, it is verified that the proposed method results in an improved SNR with less signal distortions compared to the conventional MWF.