• Journal of the Korean Mathematical Society
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• v.45 no.4
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• pp.1135-1202
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• 2008

We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.

• Honam Mathematical Journal
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• v.1 no.1
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• pp.15-20
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• 1979

본(本) 논문(論文)에서는 smooth Affine variety가 미분가능(微分可能) 다양체(多樣體)임을 보임으로써 대수기하학(代數幾何學)이 다양체이론(多樣體理論)과 관련(關聯)됨을 논(論)하였다. $\S1$에서는 affine variety의 차원(次元)과 affine variety의 접공간(接空間)에 대(對)한 정의(正義)와 그에 관련(關聯)된 성질(性質)들을 논(論)하였고 $\S2$에서는 simple point와 국소(局所) 매개변수(媒介變數), 그리고 ${\Theta}_x$에서의 유리함수의 급수(級數) 등(等)을 이용(利用)하여 주정리(主定理)(정리(定理)9)를 증명(證明)하였다.

• Journal of the Korean Institute of Telematics and Electronics S
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• v.36S no.1
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• pp.60-69
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• 1999

Motion compensation by affine transform has been proposed as a solution to the artifact problems in very low bit rate video coding and a HMA(Hexagoanl Matching Algorithm) has been proposed for refine motions estimation. When dividing images with an affine transform, as image objects do not necessarily conform to triangle patterns. In this paper we propose a method that first divides an image into triangular patches according to its edge information and then further divides the image into more detailed triangular patches where more complicated edge information occurs. We image propose a PMA(Polygona Matching Algorithm) for refine motion estimation because of the different triangle pattern types of neighboring blocks and its performance is compared with H.263.

• Journal of the Korean Society of Marine Environment & Safety
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• v.25 no.2
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• pp.229-236
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• 2019

The effects of temperature, salinity and irradiance on the growth of dinoflagellate Alexandrium affine were examined. A maximum specific growth rate ($0.69day^{-1}$) was observed with a combination of $25^{\circ}C$ and 25 psu. Optimal growth (80 % of the maximum specific growth rate) was obtained at $20-26^{\circ}C$ with salinities of 20-35 psu. The results indicated that A. affine is relatively stenothermal of given high water temperature and is a euryhaline species. The irradiance-growth curve found can be described as ${\mu}=0.75(I-4.25)/(I+65.47)$. The compensation photon flux density ($I_c$) and half-saturation photon flux density ($K_I$) were $4.25{\mu}mol\;m^{-2}s^{-1}$ and $57.0{\mu}mol\;m^{-2}s^{-1}$, respectively. In conclusion, A. affine has advantageous physiological characteristics that enable it to be a dominant species in coastal areas with high water temperature and a large salinity gradient, in spite of relatively low irradiance.

• The Transactions of the Korea Information Processing Society
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• v.3 no.7
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• pp.1894-1905
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• 1996

Delauuany triangulation which is the dual of Dirichlet tessellation is not affine invariant. In other words, the triangulation is dependent upon the choice of the coordinate axes used to represent the vertices. In the same reason, Delahanty tetrahedrization does not have an affine iveariant transformation property. In this paper, we present a new type of tetrahedrization of spacial points sets which is unaffected by translations, scalings, shearings and rotations. An affine invariant tetrahedrization is discussed as a means of affine invariant 2 -D triangulation extended to three-dimensional tetrahedrization. A new associate norm between two points in 3-D space is defined. The visualization of the structure of tetrahedrization can discriminate between Delaunay tetrahedrization and affine invariant tetrahedrization.

• The Journal of Korea Robotics Society
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• v.4 no.3
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• pp.185-191
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• 2009

This paper presents a new shape-based algorithm using affine category shape model for object category recognition and model learning. Affine category shape model is a graph of interconnected nodes whose geometric interactions are modeled using pairwise potentials. In its learning phase, it can efficiently handle large pose variations of objects in training images by estimating 2-D homography transformation between the model and the training images. Since the pairwise potentials are defined on only relative geometric relationship betweenfeatures, the proposed matching algorithm is translation and in-plane rotation invariant and robust to affine transformation. We apply spectral matching algorithm to find feature correspondences, which are then used as initial correspondences for RANSAC algorithm. The 2-D homography transformation and the inlier correspondences which are consistent with this estimate can be efficiently estimated through RANSAC, and new correspondences also can be detected by using the estimated 2-D homography transformation. Experimental results on object category database show that the proposed algorithm is robust to pose variation of objects and provides good recognition performance.

• The Transactions of The Korean Institute of Electrical Engineers
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• v.61 no.10
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• pp.1508-1512
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• 2012

This paper presents a relaxed stability condition for continuous-time affine fuzzy system using fuzzy Lyapunov function. In the previous studies, stability conditions for the affine fuzzy system based on quadratic Lyapunov function have a conservativeness. The stability condition is considered by using the fuzzy Lyapunov function, which has membership functions in the traditional Lyapunov function. Based on Lyapunov-stability theory, the stability condition for affine fuzzy system is derived and represented to linear matrix inequalities(LMIs). And slack matrix is added to stability condition for the relaxed stability condition. Finally, simulation example is given to illustrate the merits of the proposed method.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.40 no.4
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• pp.235-242
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• 2003

In this paper, a fuzzy controller is designed to suppress and stabilize the chaotic behavior of Chua's circuit. This controller is constructed by the following two phases. First, Chua's circuit is represented by an affine fuzzy model. Second, a fuzzy controller is designed so that the stability of the closed-loop system composed of the fuzzy controller and the affine fuzzy model of Chua's circuit is rigorously guaranteed. The stability condition of the affine fuzzy system is derived and is recast in the formulation of linear matrix inequalities. The guaranteed stability is global and asymptotic. Finally, the applicability of the suggested methodology is highlighted via computer simulations.

• Honam Mathematical Journal
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• v.35 no.3
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• pp.389-394
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• 2013

It is an interesting problem to study fixed points of an element in the holonomy group of an affine manifold. We compute the limit of a sequence of projective transformations and verify relations between fixed points and kernels.

• 제어로봇시스템학회:학술대회논문집
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• 2002.10a
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• pp.35.2-35
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• 2002

$\textbullet$ Introduction $\textbullet$ An affine fuzzy system $\textbullet$ The stabilization of an affine fuzzy system $\textbullet$ Iterative LMI algorithm for the stabilization $\textbullet$ A numerical example $\textbullet$ Conclusion