• Title/Summary/Keyword: Mean curvature vector

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Accuracy of Multiple Outlier Tests in Nonlinear Regression

  • Kahng, Myung-Wook
    • Communications for Statistical Applications and Methods
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    • v.18 no.1
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    • pp.131-136
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    • 2011

  • The original Bates-Watts framework applies only to the complete parameter vector. Thus, guidelines developed in that framework can be misleading when the adequacy of the linear approximation is very different for different subsets. The subset curvature measures appear to be reliable indicators of the adequacy of linear approximation for an arbitrary subset of parameters in nonlinear models. Given the specific mean shift outlier model, the standard approaches to obtaining test statistics for outliers are discussed. The accuracy of outlier tests is investigated using subset curvatures.

  • https://doi.org/10.5351/CKSS.2011.18.1.131 인용 PDF KSCI

3D Human Face Segmentation using Curvature Estimation (Curvature Estimation을 이용한 3차원 사람얼굴 세그멘테이션)

  • Seongdong Kim;Seonga Chin;Moonwon Choo
    • Journal of Korea Multimedia Society
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    • v.6 no.6
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    • pp.985-990
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    • 2003

  • This paper presents the representation and its shape analysis of face by features based on surface curvature estimation and proposed rotation vector of the human face. Curvature-based surface features are well suited to use for experimenting the 3D human face segmentation. Human surfaces are exactly extracted and computed with parameters and rotated by using active surface mesh model. The estimated features were tested and segmented by reconstructing surfaces from the face surface and analytically computing Gaussian (K) and mean (H) curvatures without threshold.

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Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form

  • Hwang, Tae Yong;Ki, U-Hang;Kurihara, Hiroyuki
    • Kyungpook Mathematical Journal
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    • v.56 no.4
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    • pp.1207-1235
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    • 2016

  • Let M be a real hypersurface with constant mean curvature in a complex space form $M_n(c),c{\neq}0$. In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ with respect to the structure vector field ${\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor field ${\phi}$, then M is a homogeneous real hypersurface of Type A.

  • https://doi.org/10.5666/KMJ.2016.56.4.1207 인용 PDF KSCI