• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권11호
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• pp.5592-5609
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• 2017

JPEG steganography detection is an active research topic in the field of information hiding due to the wide use of JPEG image in social network, image-sharing websites, and Internet communication, etc. In this paper, a new steganalysis method for content-adaptive JPEG steganography is proposed by integrating the evolutionary feature selection and classifier ensemble selection. First, the whole framework of the proposed steganalysis method is presented and then the characteristic of the proposed method is analyzed. Second, the feature selection method based on genetic algorithm is given and the implement process is described in detail. Third, the method of classifier ensemble selection is proposed based on Pareto evolutionary optimization. The experimental results indicate the proposed steganalysis method can achieve a competitive detection performance by compared with the state-of-the-art steganalysis methods when used for the detection of the latest content-adaptive JPEG steganography algorithms.

• 전자공학회논문지B
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• 제33B권8호
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• pp.68-80
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• 1996

In this paper, we propose a novel color image segmentation algorithm based on clustering in 3-dimensional color space employing the mathematical morphology. More specifically, since we take into account the topological properties such as the shape, connectivity and distribution of clusters in the clustering process, the number of clusters in the color cube, as well as their centers, can be easily obtained, without a priori knowledge on the input images. Intensive computer simulation has been performed and the results are discussed in this paper. The resutls of the simulation on the images in various color coordinates show that the segmentation is independent of the choice of color coordinates and the shape of clustes. Segmentation results of the vector quantizer are also presented for the comparison purpose.

• East Asian mathematical journal
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• 제14권2호
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• pp.259-268
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• 1998

In this paper, for a commutative ring R with an identity, considering the endomorphism ring $End_R$(M) of left R-module $_RM$ which is (quasi-)injective or (quasi-)projective, some discriminations of prime endomorphism were found as follows: each epimorphism with the irreducible(or simple) kernel on a (quasi-)injective module and each monomorphism with maximal image on a (quasi-)projective module are prime. It was shown that for a field F, any given square matrix in $Mat_{n{\times}n}$(F) with maximal image and irreducible kernel is a prime matrix, furthermore, any given matrix in $Mat_{n{\times}n}$(F) for any field F can be factored into a product of prime matrices.

• 한국통신학회논문지
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• 제17권10호
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• pp.1109-1116
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• 1992

Mathematical morphology는 이론적 배경으로 신호 및 시스템의 기하학적 특성을 해석하는데 우수하고 잡음이 섞인 데이터를 고르기에 있어서 매우 성공적으로 적용되고 있다. 본 논문에서는 morphological필터의 하드웨어 구현은 같은 회로에서 gray scale dilation과 erosion을 수행하여 최소값과 최대값을 선택하도록 함으로써 회로의 복잡성을 줄이고 병렬처리가 가능하도록 하였다. Morphological filter의 구조는 structuring element블록, 이미지 데이타 블록, 제어 블록, ADD 블록, MIN/MAX블록으로 구성되고 실시간 처리가 가능하도록 하드웨어를 설계, one chip화 한다.

• 대한수학회지
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• 제41권1호
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• pp.1-20
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• 2004

Let A be a uniform algebra, and let $\phi$ be a self-map of the spectrum $M_A$ of A that induces a composition operator $C_{\phi}$, on A. It is shown that the image of $M_A$ under some iterate ${\phi}^n$ of \phi is hyperbolically bounded if and only if \phi has a finite number of attracting cycles to which the iterates of $\phi$ converge. On the other hand, the image of the spectrum of A under $\phi$ is not hyperbolically bounded if and only if there is a subspace of $A^{**}$ "almost" isometric to ${\ell}_{\infty}$ on which ${C_{\phi}}^{**}$ "almost" an isometry. A corollary of these characterizations is that if $C_{\phi}$ is weakly compact, and if the spectrum of A is connected, then $\phi$ has a unique fixed point, to which the iterates of $\phi$ converge. The corresponding theorem for compact composition operators was proved in 1980 by H. Kamowitz [17].

• 대한수학회지
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• 제53권5호
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• pp.1183-1210
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• 2016

During the past four decades or so, due mainly to a wide range of applications from natural sciences to social sciences, the so-called fractional calculus has attracted an enormous attention of a large number of researchers. Many fractional calculus operators, especially, involving various special functions, have been extensively investigated and widely applied. Here, in this paper, in a systematic manner, we aim to establish certain image formulas of various fractional integral operators involving diverse types of generalized hypergeometric functions, which are mainly expressed in terms of Hadamard product. Some interesting special cases of our main results are also considered and relevant connections of some results presented here with those earlier ones are also pointed out.

• 대한수학회논문집
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• 제37권4호
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• pp.1055-1072
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• 2022

Our aim is to establish certain image formulas of the (p, 𝜈)-extended Gauss' hypergeometric function F_p,𝜈(a, b; c; z) by using Saigo's hypergeometric fractional calculus (integral and differential) operators. Corresponding assertions for the classical Riemann-Liouville(R-L) and Erdélyi-Kober(E-K) fractional integral and differential operators are deduced. All the results are represented in terms of the Hadamard product of the (p, 𝜈)-extended Gauss's hypergeometric function F_p,𝜈(a, b; c; z) and Fox-Wright function _rΨ_s(z). We also established Jacobi and its particular assertions for the Gegenbauer and Legendre transforms of the (p, 𝜈)-extended Gauss' hypergeometric function F_p,𝜈(a, b; c; z).

• 호남수학학술지
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• 제43권2호
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• pp.167-181
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• 2021

In this paper, the Saigo's k-fractional integral and derivative operators involving k-hypergeometric function in the kernel are applied to the generalized k-Bessel function; results are expressed in term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Bessel functions are considered.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2002년도 추계종합학술대회
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• pp.363-367
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• 2002

컴퓨터를 이용한 전자문서처리에 이용되는 기존의 문서편집 시스템에서는 비구조적인 문서구조를 다루게 됨으로써 시스템 내에서 사용되는 수학식의 표현은 이미지나 텍스트 등의 비구조적인 방법에 의해 표현되거나 처리된다. 이렇게 사용된 수학식은 문서의 가독성과 재사용성 그리고 문서의 처리와 교환에 상대적인 불편을 초래하게 된다. 그러므로 이러한 단점을 극복하고 효율적으로 구조적인 문서상에 MathML(Mathematical Markup Language) 수식 구조를 적용시킬 수 있는 문서편집 시스템이 요구된다. 이에 본 논문에서는 MathML을 기반으로 한 수학식의 표현을 구조적으로 처리할 수 있는 MathML 수식 편집이 가능한 XML(eXtensible Markup Language) 기반의 구조적 문서생성을 위한 문서 편집 시스템을 설계 및 구현하였다.

• 한국정보통신학회논문지
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• 제5권1호
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• pp.202-211
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• 2001

본 논문은 수중에서 초음파를 이용하여 데이터를 전송할 때 전체 전송성능에 영향을 주는 Multipath를 수학적으로 분석하였고, 분석된 결과를 이용하여 다중경로의 영향을 고려한 수중 초음파 영상통신 시스템을 설계하였다. 주파수 제약환경에 강인한$\pi/4 QPSK$ 알고리듬을 채택하였고, 수중 초음파 통신에서 발생하는 신호의 Ringing 효과를 상쇄하기 위하여 FM 변조방식을 가미한 Hybrid 변복조 시스템을 설계하였다. 또한, 다중경로의 영향을 상쇄하기 위하여 적응 등화기를 설계하였으며, Baseline PEG 기법을 이용하여 수중영상 압축에 대한 연구를 수행하였다.