• 제목/요약/키워드: Fourier Basis

검색결과 113건 처리시간 0.026초

적응형 영상 워터마킹 알고리즘 개발 (Development of Adaptive Digital Image Watermarking Techniques)

  • 민준영
    • 한국정보처리학회논문지
    • /
    • 제6권4호
    • /
    • pp.1112-1119
    • /
    • 1999
  • 디지털 워터마킹(digital watermarking)이란 영상이나 비디오, 오디오, 텍스트 등의 저작물에 잘 식별되지 않는 표시를 삽입하여 저작권을 보호하는 방법으로 소유권자의 동의 없이 저작물을 배포, 복사되는 것을 방지하는 방법이다. 주파수 공간에서의 적응형(adaptive) 워터마킹 알고리즘을 제안한다. 본 논문에서는 워터마크를 삽입하기 위해서 사인(sin)함수와 코사인(cos)함수를 이용한 푸리에(Fourier) 급수전개를 이용하였다. 우선, 원 이미지를 주파수 영역을 변환한 다음 워터마크를 삽입할 위치를 저주파 대역으로 한정지어 결정하였으며, M 개의 파형을 가장 직교성(orthogonality)이 좋다고 하는 사인함수와 코사인함수를 이용하여 푸리에 급수 전개를 하였다. 이때, 사인과 코사인의 n 차 고조파는 Random Sequence를 발생하여 결정하였다. 제안한 알고리즘은 이와 같이 푸리에급수전개를 했을 때 각 항의 푸리에 계수를 산출하여 이 푸리에계수에 워터 마크를 삽입하였다. 실험결과 JPEG 압축, 블러링(Bluring), 노이즈 삽입 등의 이미지 왜곡에 대하여 워터마크 상관관계가 최소 0.5467에서 최대 0.9507까지의 견고성(robustness)을 보였다. 본 논문에서는 256$\times$256 크기의 8비트 256 명암값(gray-level)을 갖는 Lenna 이미지를 이용하였다.

  • PDF

작약 레드참 꽃잎의 이온화원-푸리에 변환 질량분석과 기능성 연구 (Fourier Transform Ion Cyclotron Resonance (FT-ICR) MASS Spectrophotometric Analysis of Flower Petal from Paeonia lactiflora cv. ‘Red Charm’ and Evaluation of its Functional Activity)

  • 김준현;최용복;이하정;김용희;김준환;심정민;손영선
    • 한국자원식물학회지
    • /
    • 제29권5호
    • /
    • pp.588-597
    • /
    • 2016
  • Little attention has been paid to the functional aspect of the flower petal of Paeonia lactiflora, compared to that of its root. To determine the components of flower petal of Paeonia lactiflora, we conducted the Fourier transform ion cyclotron resonance (FT-ICR) MASS spectrophotometric analysis. We detected the 24 different types of ingredients from the 70% ethanol extracts of flower petal of peonia lactiflora cv. ‘Red Charm’. The main compounds were quercetin glucopyranosides, methyl gallate, paonioflolol and kaemperol glucopyranosides. We further tested its functional activity. The 2,2-diphenyl-1-picrylhydrazyl (DPPH) radical scavenging activity of the extracts was 87.9-90.4% at 0.1mg/ml. This result showed that these flower extracts have approximately 5-fold stronger antioxidant potential than a previous report with root extracts (Bang et al. 1999). The result of tyrosinase inhibition assay of Paeonia lactflora extract was almost similar to that of arbutin except significantly higher effect in the coral sunset extract at 0.1% concentration. Hyaluronidase inhibition assay showed 76.5% inhibition at 5% concentration of this flower extract, indicating that Peaonia lactiflora flower extracts have the major anti-inflammatory, anti-oxidant and brightening effects. Taken together, these results suggest these three Paeonia lactiflora species extracts might provide the basis to develop a new natural brightening agent.

웨이블릿 기반 셈블런스를 이용한 지구물리 자료의 필터링과 응용 (Wavelet-based Semblance Filtering of Geophysical Data and Its Application)

  • 오석훈;서백수;임은상
    • 한국지구과학회지
    • /
    • 제30권6호
    • /
    • pp.692-698
    • /
    • 2009
  • 웨이블릿 변환은 기존 푸리에 변환이 갖는 주파수 변환 결과의 시간 영역에 대한 모호성을 극복할 수 있는 변환 기법으로 널리 이용되어 왔다. 기존의 푸리에 변환에 의한 셈블란스는 두 개의 시계열 자료의 위상을 주파수 영역에서 비교할 수 있도록 하는 방법이다. 이 방법은 비정상상태의 신호에 대해서는 잘 작동하지 않는 것으로 알려져 있다. 본 연구에서는 자연계의 신호가 대부분 비정상상태임을 고려하여 웨이블릿 기반으로 개발된 셈블란스 기법을 지구물리자료에 적용하였다. 첫 번째 사례는 지구자기장 자료처리로서, 원격으로 위치한 관측소의 자료끼리 서로 비교하여 상관성이 높은 신호만 남도록 필터링한 결과를 제시한다. 두 번째 사례는 중력과 자력탐사를 복합적으로 분석할 수 있는 방안으로서, 두 자료간 공간적 상관성이 높은 신호만을 추출하는 필터링 결과를 제시한다.

Unsupervised Incremental Learning of Associative Cubes with Orthogonal Kernels

  • Kang, Hoon;Ha, Joonsoo;Shin, Jangbeom;Lee, Hong Gi;Wang, Yang
    • 한국지능시스템학회논문지
    • /
    • 제25권1호
    • /
    • pp.97-104
    • /
    • 2015
  • An 'associative cube', a class of auto-associative memories, is revisited here, in which training data and hidden orthogonal basis functions such as wavelet packets or Fourier kernels, are combined in the weight cube. This weight cube has hidden units in its depth, represented by a three dimensional cubic structure. We develop an unsupervised incremental learning mechanism based upon the adaptive least squares method. Training data are mapped into orthogonal basis vectors in a least-squares sense by updating the weights which minimize an energy function. Therefore, a prescribed orthogonal kernel is incrementally assigned to an incoming data. Next, we show how a decoding procedure finds the closest one with a competitive network in the hidden layer. As noisy test data are applied to an associative cube, the nearest one among the original training data are restored in an optimal sense. The simulation results confirm robustness of associative cubes even if test data are heavily distorted by various types of noise.

웨이블릿 기반의 영상 압축 및 에지 검출 (Image Compression and Edge Detection Based on Wavelet Transforms)

  • 정일홍;김영순
    • 한국멀티미디어학회논문지
    • /
    • 제8권1호
    • /
    • pp.19-26
    • /
    • 2005
  • 본 논문에서 사용한 웨이블릿 변환의 기저 함수는 일반적인 웨이블릿 변환과 다른 리프팅 스킴을 사용하여 만들어 졌다. 리프팅 스킴은 푸리에 변환을 사용하여 기저 함수를 생성하지 않는 새로운 쌍직교 웨이블릿 기저 함수를 생성하는 방법이다 본 본문은 리프팅 스킴을 이용한 새로운 영상 압축 및 에지 검출 방법을 제안하고 있다. 그리고 이 방법은 부분 복원과 공간 복원을 할 수 있어 데이터 가시화를 향상시킬 수 있다. 다양한 해상도에서의 근사 영상은 원래 영상으로부터 적은 정보만으로 다양한 크기의 특징을 뽑아낼 수 있고, 적은 양의 스케일링 계수를 사용하여 생성된 근사 영상은 빠르게 원래 영상의 대략적인 개요만이 필요할 때 유용하게 사용된다. 본 논문에서 제안한 영상 압축 및 에지 검출 기법은 멀티미디어 데이터베이스에서 데이터 관리와 데이터 가시화를 향상시킬 수 있는 좋은 기틀을 마련해 준다.

  • PDF

Analytical solutions for vibrations of rectangular functionally graded Mindlin plates with vertical cracks

  • Chiung-Shiann Huang;Yun-En Lu
    • Structural Engineering and Mechanics
    • /
    • 제86권1호
    • /
    • pp.69-83
    • /
    • 2023
  • Analytical solutions to problems are crucial because they provide high-quality comparison data for assessing the accuracy of numerical solutions. Benchmark analytical solutions for the vibrations of cracked functionally graded material (FGM) plates are not available in the literature because of the high level of complexity of such solutions. On the basis of first-order shear deformation plate theory (FSDT), this study proposes analytical series solutions for the vibrations of FGM rectangular plates with side or internal cracks parallel to an edge of the plates by using Fourier cosine series and the domain decomposition technique. The distributions of FGM properties along the thickness direction are assumed to follow a simple power law. The proposed analytical series solutions are validated by performing comprehensive convergence studies on the vibration frequencies of cracked square plates with various crack lengths and under various boundary condition combinations and by performing comparisons with published results based on various plate theories and the theory of three-dimensional elasticity. The results reveal that the proposed solutions are in excellent agreement with literature results obtained using the Ritz method on the basis of FSDT. The paper also presents tabulations of the first six nondimensional frequencies of cracked rectangular Al/Al2O3 FGM plates with various aspect ratios, thickness-to-width ratios, crack lengths, and FGM power law indices under six boundary condition combinations, the tabulated frequencies can serve as benchmark data for assessing the accuracy of numerical approaches based on FSDT.

Probabilistic study of the influence of ground motion variables on response spectra

  • Yazdani, Azad;Takada, Tsuyoshi
    • Structural Engineering and Mechanics
    • /
    • 제39권6호
    • /
    • pp.877-893
    • /
    • 2011
  • Response spectra of earthquake ground motions are important in the earthquake-resistant design and reliability analysis of structures. The formulation of the response spectrum in the frequency domain efficiently computes and evaluates the stochastic response spectrum. The frequency information of the excitation can be described using different functional forms. The shapes of the calculated response spectra of the excitation show strong magnitude and site dependency, but weak distance dependency. In this paper, to compare the effect of the earthquake ground motion variables, the contribution of these sources of variability to the response spectrum's uncertainty is calculated by using a stochastic analysis. The analytical results show that earthquake source factors and soil condition variables are the main sources of uncertainty in the response spectra, while path variables, such as distance, anelastic attenuation and upper crust attenuation, have relatively little effect. The presented formulation of dynamic structural response in frequency domain based only on the frequency information of the excitation can provide an important basis for the structural analysis in some location that lacks strong motion records.

Application of Compressive Sensing to Two-Dimensional Radar Imaging Using a Frequency-Scanned Microstrip Leaky Wave Antenna

  • Yang, Shang-Te;Ling, Hao
    • Journal of electromagnetic engineering and science
    • /
    • 제17권3호
    • /
    • pp.113-119
    • /
    • 2017
  • The application of compressive sensing (CS) to a radar imaging system based on a frequency-scanned microstrip leaky wave antenna is investigated. First, an analytical model of the system matrix is formulated as the basis for the inversion algorithm. Then, $L_1-norm$ minimization is applied to the inverse problem to generate a range-azimuth image of the scene. Because of the antenna length, the near-field effect is considered in the CS formulation to properly image close-in targets. The resolving capability of the combined frequency-scanned antenna and CS processing is examined and compared to results based on the short-time Fourier transform and the pseudo-inverse. Both simulation and measurement data are tested to show the system performance in terms of image resolution.

교차되는 스트립 라인구조에서의 빠른 커패시턴스 계산기법 (Fast Calculation of Capacitance Matrix for Strip-Line Crossings and Other Interconnects)

  • ;이동준;심덕선;양철관;김형규;김형석
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제53권10호
    • /
    • pp.539-545
    • /
    • 2004
  • In this paper, we consider the problem of capacitance matrix calculation for strip-line and other interconnects crossings. The problem is formulated in the spectral domain using the method of moments. Sinc-functions are employed as basis functions. Conventionally, such a formulation leads to a large, non-sparse system of linear equations in which the calculation of each of the coefficient requires the evaluation of a Fourier-Bessel integral. Such calculations are computationally very intensive. In the method proposed here, we provide simplified expressions for the coefficients in the moment method matrix. Using these simplified expressions, the coefficients can be calculated very efficiently. This leads to a fast evaluation of the capacitance matrix of the structure. Computer simulations are provided illustrating the validity of the method proposed.

의사스펙트럴법을 이용한 원형 Mindlin 평판의 동적특성 해석 (Eigenvalue Analysis of Circular Mindlin Plates Using the Pseudospectral Method)

  • 이진희
    • 대한기계학회논문집A
    • /
    • 제26권6호
    • /
    • pp.1169-1177
    • /
    • 2002
  • A study of fee vibration of circular Mindlin plates is presented. The analysis is based on the pseudospctral method, which uses Chebyshev polynomials and Fourier series as basis functions. It Is demonstrated that rapid convergence and accuracy as well as the conceptual simplicity could be achieved when the pseudospectral method was apt)lied to the solution of eigenvalue problems. Numerical examples of circular Mindlin plates with clamped and simply supported boundary conditions are provided for various thickness-to-radius ratios.