• Korean Journal of Mathematics
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• 제5권1호
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• pp.9-16
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• 1997

In this paper, we construct new classes from the idea of [6, Theorem 2.1] and show that the property of operators belonging to the classes is inherited by certain dilations. And we also prove that the existence of common noncyclic vectors for certain families is equivalent to the existence of infinite dimensional common semi-invariant subspace of operators.

• 한국ITS학회 논문지
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• 제8권3호
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• pp.122-130
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• 2009

The paper presents an algorithm which uses code vectors to represent comer geometry information for searching the similar images from a database. The comers have been extracted by finding the intersections of the detected lines found using Hough transform. Taking the comer as the center coordinate, the angles of the intersecting lines are determined and are represented using code vectors. A code book has been used to code each comer geometry information and indexes to the code book are generated. For similarity measurement, the histogram of the code book indexes is used. This result in a significant small size feature matrix compared to the algorithms using color features. Experimental results show that use of code vectors is computationally efficient in similarity measurement and the comers being noise invariant produce good results in noisy environments.

• International Journal of Control, Automation, and Systems
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• 제6권6호
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• pp.800-808
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• 2008

A fingerprint verification system based on a set of invariant moment features and a nonlinear Back Propagation Neural Network(BPNN) verifier is proposed. An image-based method with invariant moment features for fingerprint verification is used to overcome the demerits of traditional minutiae-based methods and other image-based methods. The proposed system contains two stages: an off-line stage for template processing and an on-line stage for testing with input fingerprints. The system preprocesses fingerprints and reliably detects a unique reference point to determine a Region-of-Interest(ROI). A total of four sets of seven invariant moment features are extracted from four partitioned sub-images of an ROI. Matching between the feature vectors of a test fingerprint and those of a template fingerprint in the database is evaluated by a nonlinear BPNN and its performance is compared with other methods in terms of absolute distance as a similarity measure. The experimental results show that the proposed method with BPNN matching has a higher matching accuracy, while the method with absolute distance has a faster matching speed. Comparison results with other famous methods also show that the proposed method outperforms them in verification accuracy.

• 호남수학학술지
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• 제23권1호
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• pp.91-111
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• 2001

In this paper we prove the following : Let M be a semi-invariant submanifold with almost contact metric structure (${\phi}$, ${\xi}$, g) of codimension 3 in a complex hyperbolic space $H_{n+1}{\mathbb{C}}$. Suppose that the third fundamental form n satisfies $dn=2{\theta}{\omega}$ for a certain scalar ${\theta}({\leq}{\frac{c}{2}})$, where ${\omega}(X,\;Y)=g(X,\;{\phi}Y)$ for any vectors X and Y on M. Then M has constant eigenvalues correponding the shape operator A in the direction of the distinguished normal and the structure vector ${\xi}$ is an eigenvector of A if and only if M is locally congruent to one of the type $A_0$, $A_1$, $A_2$ or B in $H_n{\mathbb{C}}$.

• Journal of Electrical Engineering and information Science
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• 제2권6호
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• pp.156-161
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• 1997

Zernike moments have been one of the most commonly used feature vectors for recognizing rotated patterns due to its rotation invariant characteristics. In order to reduce its expensive computational cost, several methods have been proposed to lower the complexity. One of the methods proposed by mukundan and K. R. Ramakrishnan[1], however, is not rotation invariant. In this paper, we propose another method that not only reduces the computational cost but preserves the rotation invariant characteristics. In the experiment, we compare our method with others, in terms of computing time and the accuracy of moment feature at different rotational angle of an object in image.

• 한국멀티미디어학회논문지
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• 제18권4호
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• pp.443-451
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• 2015

In this paper we suggest a new two-wheelers detection algorithm using uniform local binary pattern weighting value for projection vectors. The first, we calculate feature vectors using projection method which has robustness for rotation invariant and reducing dimensionality for each cell from origin image. The second, we applied new weighting values which are calculated by the modified local binary pattern showing the fast compute and simple to implement. This paper applied the Adaboost algorithm to make a strong classification from weak classification. In this experiment, we can get the result that the detection rate of the proposed method is higher than that of the traditional method.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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• pp.211-214
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• 1996

This paper propose a method for pattern recogniton using spectrum analyzer and fuzzy ARTMAP. Contour sequences obtained from 2-D planar images represent the Euclidean distance between the centroid and all boundary pixels of the shape, and are related to the overall shape of the images. The Fourier transform of contour sequence and spectrum analyzer are used as a means of feature selection and data reduction. The three dimensional spectral feature vectors are extracted by spectrum analyzer from the FFT spectrum. These Spectral feature vectors are invariant to shape translation, rotation, and scale transformations. The fuzzy ARTMAP neural network which is combined with two fuzzy ART modules is trained and tested with these feature vectors. The experiments include 4 aircrafts and 4 industrial parts recognition process are presented to illustrate the high performance of this proposed method in the ion problems of noisv shapes.

• 대한수학회논문집
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• 제15권4호
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• pp.649-668
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• 2000

In this paper we prove the following : Let M be a real (2n-1)-dimensional compact minimal semi-invariant submanifold in a complex projective space P(sub)n+1C. If the scalar curvature $\geq$2(n-1)(2n+1), then m is a homogeneous type $A_1$ or $A_2$. Next suppose that the third fundamental form n satisfies dn = 2$\theta\omega$ for a certain scalar $\theta$$\neq$c/2 and $\theta$$\neq$c/4 (4n-1)/(2n-1), where $\omega$(X,Y) = g(X,øY) for any vectors X and Y on a semi-invariant submanifold of codimension 3 in a complex space form M(sub)n+1 (c). Then we prove that M has constant principal curvatures corresponding the shape operator in the direction of the distingusihed normal and the structure vector ξ is an eigenvector of A if and only if M is locally congruent to a homogeneous minimal real hypersurface of M(sub)n (c).

• 한국컴퓨터정보학회논문지
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• 제10권3호
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• pp.173-182
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• 2005

본 논문에서는 항해 시 위치인식에 사용하기 위하여 카메라의 뷰포인트에 무관한 랜드마크를 인식하는 방법을 제안한다. 기존연구에서 사용된 특징들은 카메라의 뷰포인트에 따라 변하고 이에따른 정보 양의 증가로 위치확인을 위한 시각적인 랜드마크의 추출이 어렵다. 본 논문에서 제안된 방법은 특징 추출단계, 학습과 인식단계, 정합단계의 삼단계로 구성된다. 특징 추출단계에서는 영상의 관심영역을 설정, 이 영역 안에서 코너점을 추출하는데, 추출 시 작은 고유값의 통계적 분석을 통해 보다 정확하고 잡음에 강한 특징을 추출하는 방법을 제안한다. 학습 및 인식단계에서는 5개의 특징점으로 구성된 특징모델이 뷰포인트에 무관한 특징점인지를 검사하여 강건 특징모델을 구성한다. 정합단계에서는 시간 복잡도를 줄이고 정확한 대응점을 산출하기 위하여 유사도 평가함수와 Graham 탐색방법을 이용한 정합 방법을 제안한다. 실험에서는 다양한 실내영상을 가지고 제안한 방법과 기존방법을 비교 분석함으로써 제안한 방법의 우수함을 보였다.

• 한국조명전기설비학회지:조명전기설비
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• 제10권4호
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• pp.78-84
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• 1996

본 논문에서는 초음파센서 배열과 신경회로망 및 불변모멘트 벡터를 이용하여 물체의 위치이동에 무관한 3차원 물체인식과 복원을 연구함으로서 추차관리 시스템의 차종인식 응용가능성에 대하여 검토하였다. 초음파센서 배열로부터 얻어진 16$\times$8 픽셀의 데이터를 이용하여 물체의 불변모멘트 벡터를 계산하고 이를 SCL(Simple Competitive Leverning)신경회로망에 입력하여 3차원 물체를 분류하였으며, 저해상도인 16$\times$8 픽셀의 물체정보를 SCL 수정형 신경회로망에 입력하여 32$\times$32 픽셀로 해상도를 향상시켜 3차원 물체복원을 하였다. 물체의 위치가 변하여도 불변모멘트 벡터는 일정한 값을 유지하였고, 학습 후 인식율은 학습데이터의 경우는98[%]이고 시험데이터의 경우 95[%]이었으며, 3차원 32$\times$32 픽셀의 고해상도 물체정보로 복원하였다. 실험결과로부터 신경회로망과 연계된 초음파 센서는 차량의 감지뿐만 아니라 차종의 구분에도 응용가능할 것으로 생각된다.