• Title/Summary/Keyword: Shape operator

Search Result 171, Processing Time 0.032 seconds

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

  • Ahn, Seong-Soo;Ki, U-Hang
    • Bulletin of the Korean Mathematical Society
    • /
    • v.31 no.2
    • /
    • pp.215-236
    • /
    • 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.

  • PDF

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
    • /
    • v.13 no.1
    • /
    • pp.86-101
    • /
    • 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.

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

  • Hur, Yone-Gi
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.15 no.10
    • /
    • pp.1062-1070
    • /
    • 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.

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

  • Lee, Sung-Jin
    • Proceedings of the KSME Conference
    • /
    • 2000.11a
    • /
    • pp.590-595
    • /
    • 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.

  • PDF

Non-iterative Global Mesh Smoothing with Feature Preservation

  • Ji, Zhongping;Liu, Ligang;Wang, Guojin
    • International Journal of CAD/CAM
    • /
    • v.6 no.1
    • /
    • pp.89-97
    • /
    • 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
    • Proceedings of the Optical Society of Korea Conference
    • /
    • 1995.06a
    • /
    • pp.138-148
    • /
    • 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.

  • PDF

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

  • 최명희;이호근;김주원;하영호
    • Proceedings of the IEEK Conference
    • /
    • 2002.06d
    • /
    • pp.215-218
    • /
    • 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.

  • PDF

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

  • Seo, Suyoung
    • Korean Journal of Remote Sensing
    • /
    • v.30 no.6
    • /
    • pp.709-717
    • /
    • 2014
  • The objective of this study is to analyze the degree of correspondences among corners found in building facade imagery when the projective transformation parameters are applied to. Additionally, an appropriate corner detection operator is determined through experiments. Modeling of the shape of a building has been studied in numerous approaches using various type of data such as aerial imagery, aerial lidar scanner imagery, terrestrial imagery, and terrestrial lidar imagery. This study compared the Harris operator with FAST operator and found that the Harris operator is superior in extracting major corner points. After extracting corners using the Harris operator and assessing the degree of correspondence among corners in difference images, real corresponding corners were found to be located in the closest distance. The experiment of the projective transformation with varying corners shows that more corner control points with a good distribution enhances the accuracy of the correspondences.

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

  • Adiya, Enkhbolor;Izmantoko, Yonny S.;Choi, Heung-Kook
    • Journal of Korea Multimedia Society
    • /
    • v.16 no.9
    • /
    • pp.1018-1030
    • /
    • 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.

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

  • Park, Hyung-Ghee;Chung, Hyun-Kyo
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.11 no.2 s.54
    • /
    • pp.1-9
    • /
    • 2007
  • The method of generating the artificial acceleration time histories for seismic analysis based on genetic algorithms is presented. For applying to the genetic algorithms, the frequencies are selected as the decision variables eventually to be genes. An arithmetic average crossover operator and an arithmetic ratio mutation operator are suggested in this study. These operators as well as the typical simple crossover operator are utilized in generating the artificial acceleration time histories corresponding to the specified design response spectrum. Also these generated artificial time histories are checked whether their outward features are to be coincident with the recorded earthquake motion or not. The features include envelope shape, correlation condition between 2 horizontal components of motion, and the relationship of max. acceleration, max. velocity and max. displacement of ground.