• 제목/요약/키워드: Shape operator

검색결과 171건 처리시간 0.024초

GENERIC SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR OF A SASAKIAN SPACE FORM

  • Ahn, Seong-Soo;Ki, U-Hang
    • 대한수학회보
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    • 제31권2호
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    • pp.215-236
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    • 1994
  • The purpose of the present paper is to study generic submanifolds of a Sasakian space form with nonvanishing parallel mean curvature vector field such that the shape operator in the direction of the mean curvature vector field commutes with the structure tensor field induced on the submanifold. In .cint. 1 we state general formulas on generic submanifolds of a Sasakian manifold, especially those of a Sasakian space form. .cint.2 is devoted to the study a generic submanifold of a Sasakian manifold, which is not tangent to the structure vector. In .cint.3 we investigate generic submanifolds, not tangent to the structure vector, of a Sasakian space form with nonvanishing parallel mean curvature vactor field. In .cint.4 we discuss generic submanifolds tangent to the structure vector of a Sasakian space form and compute the restricted Laplacian for the shape operator in the direction of the mean curvature vector field. As a applications of these, in the last .cint.5 we prove our main results.

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The effects of geometrical buoy shape with nonlinear Froude-Krylov force on a heaving buoy point absorber

  • Kim, Sung-Jae;Koo, Weoncheol;Kim, Moo-Hyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.86-101
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    • 2021
  • This study examined the effects of buoy shape and Nonlinear Froude-Krylov force (NFK) on a heaving-buoy-type Wave Energy Converter (WEC). Based on the Maclaurin expansion, the theoretical solutions of the NFK were derived for three different buoy shapes; hemispheric buoy, circular vertical cylinder, and truncated conical cylinder. A hydraulic power take-off system was adopted, and the latching control strategy was applied to maximize the extracted power from the WEC. The nonlinear effects of the Froude-Krylov force and restoring force on the heaving point absorber were investigated by comparing the heave Response Amplitude Operator (RAO) and time-averaged power extraction. The results showed that the conventional linear analyses were overestimated by up to 50% under the high amplitude wave condition. The latching control strategy was the most effective when peak wave period of regular or irregular wave was 0.4-0.45 times the heave natural period of the buoy.

스테인리스 냉연공정에서 퍼지 형상제어 (A Fuzzy Shape Control Method for the Stainless Steel at the Cold Rolling Process)

  • 허윤기
    • 제어로봇시스템학회논문지
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    • 제15권10호
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    • pp.1062-1070
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    • 2009
  • The strip shape for the stainless steel process has made an issue of the strip quality, and hence the shape control method is developed at the Sendzimir rolling mill (ZRM). ZRM is a stainless cold rolling mill and has actuators for the shape control. They are first intermediate rolls and top crown rolls, which are controlled horizontally and vertically, respectively. The shape control of the stainless steel rolling process has difficulty in obtaining the symmetrical shape. The objective of the shape control is to minimize the shape deviation and to maintain stable state, which keeps symmetrical shape pattern in the lateral direction. The method of the shape recognition employs a least squares method and neural network. The shape deviation is the difference between the target shape and actual shape and is controlled by the fuzzy shape control. The fuzzy shape control using operator's informative knowledge is proposed in this paper. The experiments are carried out online for various stainless materials and sizes. The productivity of the rolling process has increased from 9.0 to 9.4 tons per hour.

열연코일 권취형상 불량 자동진단 시스템 개발 (Development of Diagnostic System for Winding Profile Abnormality of Hot Coils)

  • 이성진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.590-595
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    • 2000
  • On the contrary to the increasing needs of shape qualities, most of quality inspections are carried out by manual or operator's insight. To find the causes of shape inferiority, it is required to gather and analyze the shape measurement data. As a result the winding profile measurement system ($TELE-SCANNER^{(R)}$) is developed to analyze the coiling process and automate the manual measuring process for winding profile of hot-rolled coils. The winding profile measurement system measures and analyzes winding profile shapes of hot-rolled coils, and classifies them into several dominant patterns that are related to normal or abnormal mechanical conditions of down-coiler. The system also contains analysis software to quantify the winding profile shapes and patterns, and to produce statistics to help search the causes of profile shape inferiority.

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Non-iterative Global Mesh Smoothing with Feature Preservation

  • Ji, Zhongping;Liu, Ligang;Wang, Guojin
    • International Journal of CAD/CAM
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    • 제6권1호
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    • pp.89-97
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    • 2006
  • This paper presents a novel approach for non-iterative surface smoothing with feature preservation on arbitrary meshes. Laplacian operator is performed in a global way over the mesh. The surface smoothing is formulated as a quadratic optimization problem, which is easily solved by a sparse linear system. The cost function to be optimized penalizes deviations from the global Laplacian operator while maintaining the overall shape of the original mesh. The features of the original mesh can be preserved by adding feature constraints and barycenter constraints in the system. Our approach is simple and fast, and does not cause surface shrinkage and distortion. Many experimental results are presented to show the applicability and flexibility of the approach.

The theory of non-Markovian optical gain in excited semiconductors

  • Ahn, Doyeol
    • 한국광학회:학술대회논문집
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    • 한국광학회 1995년도 광학 및 양자전자학 워크샵 논문집
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    • pp.138-148
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    • 1995
  • A reduced description of the dynamics of carriers in excited semiconductors is presented. Fristly, a time-convolutionless equation of motion for the reduced density operator is derved from the microscopic Liouville wquation operator method. Secondly, the quantum kinetic equations for intercting electron-hole parirs near band-edge in semiconductors under an extermal optical field are obtained from the equation of motion for the reduced density operator. The non-Markovian optical gain of a driven semiconductor is derived including the many-body effects. plasma screening and excitinic effects are taken into account using as effective Hamiltonian in the time-dependent Hartree-Fock approximation. it is shown that the line shape of optical-gain spectra gain is enhanced by the exicitonic effects caused by the attrative electron-hole Coulomb interaction and the interference effects (renormalized memory effects) between the extermal driving filed and the intermal driving Filed and the stochastic reservoir of the system.

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Van der Waerden의 통계량을 이용한 영상에서의 효율적인 에지검출기법 (An Efficient Edge Detection Using Van der Waerden′s Statistic in Images)

  • 최명희;이호근;김주원;하영호
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 하계종합학술대회 논문집(4)
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    • pp.215-218
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    • 2002
  • The edges of an image hold much of the information in that image. The edges tell where objects are, their shape and size, and something about their texture. An edge is where the intensity of an image moves from a low value to a high value. We introduce the edge detection using the differential operator with Sobel operator and describe a nonparametric Wilcoxon test based on statistical hypothesis testing for the detection of edges. This paper proposes an efficient edge detection using Van der Waerden's statistic in original and noisy images. We use the threshold determined by specifying significance level a and an edge-height parameter. Comparison with our statistical test and Sobel operator shows that Van der Waerden method perform more effectively in both noisy and noise-free images.

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건물벽면 영상내 코너점의 대응관계 구성을 위한 사영변환행렬의 적용성 (Applicability of Projective Transformation for Constructing Correspondences among Corners in Building Facade Imagery)

  • 서수영
    • 대한원격탐사학회지
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    • 제30권6호
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    • pp.709-717
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    • 2014
  • 본 연구는 사영변환행렬을 적용한 경우 건물벽면 영상 간 코너점의 대응정도를 분석하는 것을 목표로 한다. 부가적으로 코너점을 찾기 위한 적절한 연산자를 실험을 통하여 결정하였다. 건물형상에 대한 모델링은 항공사진, 항공라이다영상, 지상사진, 지상라이다영상 등 다양한 자료를 이용하여 많은 기법들이 연구되어 왔다. 본 연구에서는 영상 간 정합을 위하여 필요한 코너점 검출방법으로 Harris 연산자와 FAST 연산자의 성능을 비교하였다. 비교결과 Harris 연산자가 건물벽면에서 코너점 추출에 우수하다는 결론을 내렸다. Harris 연산자로 코너점 검출 후, 사영변환행렬을 통하여 코너점 들의 대응정도를 비교한 결과, 대부분의 경우 최소거리에 실제 대응점들이 위치해 있음을 알 수 있었다. 사영변환행렬의 성능을 기준점 수와 분포를 고려하여 대응정도에 미치는 영향을 분석한 결과 기준점이 많고 골고루 분포한 경우에 더욱 정확한 대응 관계를 제공하는 것으로 나타났다.

Comparison of Active Contour and Active Shape Approaches for Corpus Callosum Segmentation

  • Adiya, Enkhbolor;Izmantoko, Yonny S.;Choi, Heung-Kook
    • 한국멀티미디어학회논문지
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    • 제16권9호
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    • pp.1018-1030
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    • 2013
  • The corpus callosum is the largest connective structure in the brain, and its shape and size are correlated to sex, age, brain growth and degeneration, handedness, musical ability, and neurological diseases. Manually segmenting the corpus callosum from brain magnetic resonance (MR) image is time consuming, error prone, and operator dependent. In this paper, two semi-automatic segmentation methods are present: the active contour model-based approach and the active shape model-based approach. We tested these methods on an MR image of the human brain and found that the active contour approach had better segmentation accuracy but was slower than the active shape approach.

인공 지진파 작성을 위한 유전자 알고리즘의 적용 (Incorporating Genetic Algorithms into the Generation of Artificial Accelerations)

  • 박형기;정헌교
    • 한국지진공학회논문집
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    • 제11권2호
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    • pp.1-9
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    • 2007
  • 유전자 알고리즘을 이용하여 구조물의 지진응답해석에 사용할 인공 가속도시간이력을 작성하는 방법을 제시한다. 유전자 알고리즘을 적용하기 위해서 유전원질에 해당되는 결정변수로서 응답스펙트럼 값을 계산할 진동수를 결정하고, 산술평균 교차연산자와 산술비 돌연변이연산자를 제안한다. 이들 연산자와 전형적인 단순 교차연산자를 사용하여 설계응답스펙트럼에 부합하는 인공 지진파 작성에 사용한다. 또한 작성된 인공 가속도시간이력은 실제 계측되는 지진파의 몇 가지의 외형적 특성을 가져야 하므로 이를 고려한 인공 가속도시간이력이 작성되도록 한다. 이 외형적 특성으로는 가속도시간이력의 포락형태, 지진파의 2수평성분간의 상관관계, 지반의 최대가속도 - 최대속도 - 최대변위 관계 등이다.