• 제목/요약/키워드: vector spaces

검색결과 211건 처리시간 0.02초

다양한 색공간 정보를 이용한 눈 영역의 특징벡터 생성 기법 (A Technique of Feature Vector Generation for Eye Region Using Embedded Information of Various Color Spaces)

  • 박정환;신판섭;김국보;정종진
    • 전기학회논문지
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    • 제64권1호
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    • pp.82-89
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    • 2015
  • The researches of image recognition have been processed traditionally. Especially, face recognition technology has been received attractions with advance and applied to various areas according as camera sensor embedded into many devices such as smart phone. In this study, we design and develop a feature vector generation technique of face for making animation caricatures using methods for face detection which are previous stage of face recognition. At first, we detect both face region and detailed eye region of component element by Viola&Johns's realtime detection method which are called as ROI(Region Of Interest). And then, we generate feature vectors of eye region by utilizing factors as opposed to the periphery and by using appearance information of eye. At this point, we focus on the embedded information in many color spaces to overcome the problems which can be occurred by using one color space. We propose a feature vector generation method using information from many color spaces. Finally, we experiment the test of feature vector generation by the proposed method with enough quantity of sample picture data and evaluate the proposed method for factors of estimating performance such as error rate, accuracy and generation time.

A UNIFIED FIXED POINT THEORY OF MULTIMAPS ON TOPOLOGICAL VECTOR SPACES

  • Park, Seh-Ie
    • 대한수학회지
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    • 제35권4호
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    • pp.803-829
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    • 1998
  • We give general fixed point theorems for compact multimaps in the "better" admissible class $B^{K}$ defined on admissible convex subsets (in the sense of Klee) of a topological vector space not necessarily locally convex. Those theorems are used to obtain results for $\Phi$-condensing maps. Our new theorems subsume more than seventy known or possible particular forms, and generalize them in terms of the involving spaces and the multimaps as well. Further topics closely related to our new theorems are discussed and some related problems are given in the last section.n.

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CONNECTEDNESS AND COMPACTNESS OF WEAK EFFICIENT SOLUTIONS FOR VECTOR EQUILIBRIUM PROBLEMS

  • Long, Xian Jun;Peng, Jian Wen
    • 대한수학회보
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    • 제48권6호
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    • pp.1225-1233
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    • 2011
  • In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. 133 (2007), 151-161].

On vector variational inequality

  • Lee, Gue-Myung;Kim, Do-Sang;Lee, Byung-Soo;Cho, Sung-Jin
    • 대한수학회보
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    • 제33권4호
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    • pp.553-564
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    • 1996
  • Since Giannessi [5] introduced the vector variational inequality in a finite dimensional Euclidean space with further application, Chang et al. [17], Chen et al. [1-4] and Lee et al. [10-16] have considered several kinds of vector variational inequalities in abstract spaces and have obtained existence theorems for their inequalities.

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ON GENERALIZED VECTOR QUASI-VARIATIONAL TYPE INEQUALITIES

  • Cho, Y.J.;Salahuddin, Salahuddin;Ahmad, M.K.
    • East Asian mathematical journal
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    • 제26권1호
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    • pp.49-58
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    • 2010
  • In this paper, we consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences.

SPACES OF CONFORMAL VECTOR FIELDS ON PSEUDO-RIEMANNIAN MANIFOLDS

  • KIM DONG-SOO;KIM YOUNG-HO
    • 대한수학회지
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    • 제42권3호
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    • pp.471-484
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    • 2005
  • We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.

Distributivity on the Gyrovector Spaces

  • Kim, Sejong
    • Kyungpook Mathematical Journal
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    • 제55권1호
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    • pp.13-20
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    • 2015
  • As a vector space provides a fundamental tool for the study of Euclidean geometry, a gyrovector space provides an algebraic tool for the study of hyperbolic geometry. In general, the gyrovector spaces do not satisfy the distributivity with scalar multiplication. In this article, we see under what condition the distributivity with scalar multiplication is satisfied.

FIXED POINTS OF NONEXPANSIVE MAPS ON LOCALLY CONVEX SPACES

  • Ling, Joseph M.
    • 대한수학회보
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    • 제37권1호
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    • pp.21-36
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    • 2000
  • In this article we study the relation between subinvariant submean and normal structure in a locally convex topological vector space. This extends in a natural way a result obtained recently by Lau and Takahashi. Our approach also follows closely theirs.

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FIXED POINTS OF BETTER ADMISSIBLE MAPS ON GENERALIZED CONVEX SPACES

  • Park, Se-Hie
    • 대한수학회지
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    • 제37권6호
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    • pp.885-899
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    • 2000
  • We obtain generalized versions of the Fan-Browder fixed point theorem for G-convex spaces. We define the class B of better admissible multimaps on G-convex spaces and show that any closed compact map in b fro ma locally G-convex uniform space into itself has a fixed point.

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