• 전자공학회논문지C
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• 제34C권4호
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• pp.36-44
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• 1997

An efficient context-free multiple-object segmentation using attention operator based on modified generalized symmetry transform is proposed and implemented by modifying a radial basis function network. By using the difference of intensity gradient, instead of te intensity gradient itself, in generalized symmetry tranform so as to make the attention operator to preserve the edges of the objects shape, an efficient context-free multiple-object segementation is proposed in which no a priori shape informtion on the objects is requried. The attention operator is implemented by using a modified radial basis function network which can reflect symmetry, and by using te edge pyramid of the input image, both of the local and the global symmetry of the objects are reflected simultaneously to make the multiple-object with different sizes be segmented with a singel fixed-size $n\timesm$ can be done with O(n) complexity. The simulaton results show that the proposed algorithm can efficiently be used in context-free multiple-object segmentation even for the low contrast IR images as well as for the images from the camera.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.757-762
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• 2009

In allelic model $X\;=\;(x_1,\;x_2,\;{\cdots},\;x_d)$, $$M_f(t)\;=\;f(p(t))\;-\;{\int}^t_0\;Lf(p(t))ds$$ is a P-martingale for diffusion operator L under the certain conditions. We can also obtain a new diffusion operator $L^*$ for diffusion coefficient and we prove that unique solution for $L^*$-martingale problem exists. In this note, we define new symmetric preserving transformation. Uniqueness for martingale problem and symmetric property will be proved.

• 대한수학회지
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• 제60권6호
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• pp.1303-1336
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• 2023

In this paper, we study the 𝜂-parallelism of the Ricci operator of almost Kenmotsu 3-manifolds. First, we prove that an almost Kenmotsu 3-manifold M satisfying ∇_𝜉h = -2𝛼h𝜑 for some constant 𝛼 has dominantly 𝜂-parallel Ricci operator if and only if it is locally symmetric. Next, we show that if M is an H-almost Kenmotsu 3-manifold satisfying ∇_𝜉h = -2𝛼h𝜑 for a constant 𝛼, then M is a Kenmotsu 3-manifold or it is locally isomorphic to certain non-unimodular Lie group equipped with a left invariant almost Kenmotsu structure. The dominantly 𝜂-parallelism of the Ricci operator is equivalent to the local symmetry on homogeneous almost Kenmotsu 3-manifolds.

• 호남수학학술지
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• 제46권1호
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• pp.60-69
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• 2024

We consider a special orthonormal basis for the Hardy space of the unit disc to compute the matrix representations of the composition operators with respect to the basis particulary associated to two symbols which are the inverse and the origin symmetry of the Riemann self map in the unit disc, and then we find a certain symmetry of the matrices.

• 대한전자공학회논문지SP
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• 제38권1호
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• pp.89-96
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• 2001

본 논문에서는 잡음에 강건한 일반화 대칭 변환을 주목 연산자로 제안하고 이를 이용하여 크기와 형태가 다양한 물체들을 효과적으로 검출하였다. 기존의 주목 연산자와는 달리 두 화소의 명도변화의 크기와 대칭성뿐만 아니라 방사(radial)방향 명도변화의 수렴 및 발산을 누적 대칭도에 반영시킴으로써 명도변화 방향의 일관된 수렴이나 발산이 없는 잡음 영역에 의한 대칭 기여도가 누적되지 않도록 하였다. 따라서 제안한 주목 연산자를 사용하면 잡음이 많고 복잡한 배경으로부터 물체만을 쉽게 검출할 수 있도록 하였다. 다양한 합성영상(synthetic images)과 실영상(real images)에 대해 실험하여 잡음의 영향을 적게 받으며 효과적으로 다중 물체를 검출함을 확인하였다.

• 한국실내디자인학회논문집
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• 제38호
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• pp.75-82
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• 2003

The symmetry is general geometric design principal in contemporary architecture shape. But, Symmetry sometimes easily causes unreasonable design. In some reason, two of symmetric units in the apartment, one side of unit have very reasonable plan and arrangement but opposite side unit nay not. For example, if the kitchen on right unit had right-handed arrangement, the symmetrical other would have left-handed kitchen arrangement. In addition to this, if each house unit has the same plan but different direction, each unit has different usage or affects the residents' life pattern. Nevertheless, Architects use only one unit plan to design public housing development by using symmetric operator (mirror, proper rotation, inversion center) at their option. This study suggests that using group theory and mathematical matrix rather than designer's discretion can solve this symmetry problem clearly. And, this study analysis the merits and demerits between each symmetrical pair of unit plan shapes by using mathematical point group theory and matrix.

• 대한수학회보
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• 제50권4호
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• pp.1345-1356
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• 2013

In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy $L_1G=f(G+C)$ for some constant vector $C{\in}\mathbb{E}^3$ and smooth function $f$, where $L_1$ denotes the Cheng-Yau operator.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제12권4호
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• pp.237-251
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• 2005

In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -$\epsilon$ )-order regula.ity (0 < $\epsilon$ < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.

• Journal of applied mathematics & informatics
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• 제14권1_2호
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• pp.115-122
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• 2004

We characterize the additive operators preserving rank-additivity on symmetry matrix spaces. Let $S_{n}(F)$ be the space of all $n\;\times\;n$ symmetry matrices over a field F with 2, $3\;\in\;F^{*}$, then T is an additive injective operator preserving rank-additivity on $S_{n}(F)$ if and only if there exists an invertible matrix $U\;\in\;M_n(F)$ and an injective field homomorphism $\phi$ of F to itself such that $T(X)\;=\;cUX{\phi}U^{T},\;\forallX\;=\;(x_{ij)\;\in\;S_n(F)$ where $c\;\in;F^{*},\;X^{\phi}\;=\;(\phi(x_{ij}))$. As applications, we determine the additive operators preserving minus-order on $S_{n}(F)$ over the field F.

• 대한전자공학회논문지SP
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• 제38권6호
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• pp.640-647
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• 2001

본 논문에서는 BLU(back light unit) 검사에 적합하도록 잡음에 강건한 일반화 대칭 변환을 주목 연산자로 제안하여 적용함으로써 형태와 크기 및 명도가 다양한 BLU 얼룩들을 효과적으로 검출하였다. 제안한 주목 연산자는 두 화소 명도변화의 크기와 대칭성뿐만 아니라 그 방사(radial)방향의 수렴 및 발산 극성도 반영시켜 잡음이나 불규칙한 배경영상의 양극성 대칭도 누적을 상쇄시킴으로써 명도분포가 일정치 않고 복잡한 무늬의 배경을 갖는 BLU 특유의 검사영상으로부터 얼룩만을 효과적으로 검출할 수 있도록 하였다. CCD 카메라로 입력된 고해상도의 BLU 검사영상에 대해 실험하여 BLU 얼룩 검사에 효과적으로 활용할 수 있음을 확인하였다.