• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제3권9호
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• pp.375-380
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• 2014

오늘날 촬영 상황을 조절할 수 있는 환경, 즉 고정된 촬영각이나 일관된 조도 조건에서는 얼굴인식 기술 수준은 신뢰할 수 있을 정도로 높다. 그러나 복잡한 현실에서의 얼굴 인식은 여전히 어려운 과제이다. SIFT 알고리즘은 촬영각의 변화가 미미할 때에 한하여, 크기와 회전 변화에 무관하게 우수한 성능을 보여주고 있다. 본 논문에서는 다양하게 촬영각이 변하는 환경에서도 얼굴 인식을 할 수 있는 어파인 불변 지역 서술자를 탐지하는 ASIFT(Affine SIFT)라는 알고리즘을 적용하였다. SIFT 알고리즘을 확장하여 만든 ASIFT 알고리즘은 촬영각 변화에 취약한 단점을 극복하였다. 제안하는 방법에서 ASIFT 알고리즘은 표본 이미지에, SIFT 알고리즘은 검증 이미지에 적용하였다. ASIFT 방법은 어파인 변환을 사용하여 다양한 시각에 따른 영상을 생성할 수 있기 때문에 ASIFT 알고리즘은 저장 영상과 실험 영상의 시각 차이에 따른 문제를 해결할 수 있었다. 실험결과 FERET 데이터를 사용했을 때 제안한 방법은 촬영각의 변화가 큰 경우에 기존의 시프트 알고리즘보다도 높은 인식률을 보여주었다.

• 대한수학회보
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• 제36권1호
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• pp.203-207
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• 1999

In this paper, we find a condition of an open subset of the affine space which admits a cocompact affine action. To do it, the asymptotic flag of an open convex subset is introduced and some applications to affine manifolds are presented.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2003년도 ICCAS
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• pp.1140-1145
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• 2003

Image normalization is one of the important areas in pattern recognition. Also, log-polar images are useful in the sense that their image data size is reduced dramatically comparing with conventional images and it is possible to develop faster pattern recognition algorithms. Especially, the log-polar image is very similar with the structure of human eyes. However, there are almost no researches on pattern recognition using the log-polar images while a number of researches on visual tracking have been executed. We propose an image normalization technique of log-polar images using momentums applicable for affine-invariant pattern recognition. We handle basic distortions of an image including translation, rotation, scaling, and skew of a log-polar image. The algorithm is experimented in a PC-based real-time vision system successfully.

• 대한수학회지
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• 제55권1호
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• pp.17-28
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• 2018

In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using ${\omega}$-condition and centered-like ${\omega}$-condition meantime as well as some fine techniques such as the affine invariant form. Numerical examples are also provided.

• Journal of applied mathematics & informatics
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• 제33권1_2호
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• pp.127-143
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• 2015

In this paper, we consider a modified inexact Newton method for solving a nonlinear system F(x) = 0 where $F(x):R^n{\rightarrow}R^n$. The basic idea is to accelerate convergence. A semi-local convergence theorem for the modified inexact Newton method is established and an affine invariant version is also given. Moreover, we test three numerical examples which show that the modified inexact scheme is more efficient than the classical inexact Newton strategy.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1998년도 하계학술대회 논문집 G
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• pp.2237-2239
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• 1998

A limitation is assumed that In this paper, a generalized method is proposed to extract a period of a motion of on object. To detect a periodic motion, we put restrictions on a stationary camera and on a motion of an object. We ca derive the necessary and sufficient condition that an image sequence consists of the projection of the periodic motion by the affine transformation that is a reasonally good approach to the perspective projection. The difficulty of detecting its periodic motion is to select its have period in sequence and to define its width.

• Journal of applied mathematics & informatics
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• 제9권2호
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• pp.859-867
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• 2002

In this paper, we get a necessary and sufficient condition for an inner automorphism between compact connected semisimple Lie groups to be an atone transformation, and obtain atone transformations of (SU(n),g) with some left invariant metric g.

• East Asian mathematical journal
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• 제38권3호
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• pp.321-329
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• 2022

For an ample divisor A of birational type on a singular del Pezzo surface S of degree 4 with A₁-singularity, we show that the affine cone of S defined by A is flexible

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.393-406
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• 1999

Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the second. Radius of con-vergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivation our radius of convergence results are derived. Results involving superlinear convergence and known to be true or inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivative our radius of conver-gence is larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also pro-vided to show that our radius of convergence is larger then the one in [10].

• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.507-516
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• 1998

In this study we are concerned with the problem of ap-proximating a locally unique solution of an equation on a Banach space. A semilocal convergence theorem is given for the Super-Halley method in Banach spaces. Earlier results have shown that the order of convergence is four for a certain class of operators [4] [5] [8] These results were not given in affine invariant form and made use of a real quadratic majorizing polynomial. Here we provide our re-sults in affine invariant form showing that the order of convergence is at least four. In cases that it is exactly four the rate of convergence is improved. We achieve these results by using a cubic majorizing polynomial. Some numerical examples are given to show that our error bounds are better than earlier ones.