• Geophysics and Geophysical Exploration
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• v.26 no.1
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• pp.1-7
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• 2023

This study derives the expressions of vector gravity and gravity gradient tensor due to an elliptical cylinder. The vector gravity for an arbitrary three-dimensional (3D) body is obtained by differentiating the gravitational potential, including the triple integral, according to the shape of the body in each axis direction. The vector gravity of the 3D body with axial symmetry is integrated along the axial direction and reduced to a double integral. The complex Green's theorem using complex conjugates subsequently converts the double integral into a one-dimensional (1D) closed-line integral. Finally, the vector gravity due to the elliptical cylinder is derived using 1D numerical integration by parameterizing a boundary of the elliptical cross-section as a closed line. Similarly, the gravity gradient tensor due to the elliptical cylinder is second-order differentiated from the gravitational potential, including the triple integral, and integrated along the vertical axis direction reducing it to a double integral. Consequently, all the components of the gravity gradient tensor due to an elliptical cylinder are derived using complex Green's theorem as used in the case of vector gravity.

• Proceedings of the IEEK Conference
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• 2001.06d
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• pp.243-246
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• 2001

턱 논문에서는 복잡한 배경에서 다양한 조명과 얼굴의 크기 변화를 가지는 영상으로부터 눈을 검출하는 새로운 방법을 제안한다. 반사 대칭 조건과 타원 모델링을 이용하여 먼저 얼굴을 검출하고 그 영역 내에서 수리 형태학을 이용한 valley detection, binary opening을 수행함으로써 눈 후보 영역을 추출한다. 그리고 정확한 눈동자의 위치를 검출하기 위하여 눈동자 정합 마스크를 제안하였다 얼굴 검출 과정에서 타원의 단축 길이를 추정하여 추출된 얼굴 영상의 크기를 정규화 하였다. 정규화 된 얼굴 영상에서 눈 검출에 적합한 형태소(structuring element)를 결정하여 눈 검출 결과를 보다 견실하게 하였다.

• Journal of the Institute of Convergence Signal Processing
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• v.14 no.1
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• pp.27-32
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• 2013

It plays an important role to detect the shape of an ellipse in many application areas of image processing. But it is very difficult to detect the ellipse in the real image because the noise was involved in the image, other objects obscured the ellipse or the ellipses were overlap with each other. In this paper, we extract the boundary (edge) to detect ellipse in the image and perform the grouping process in order to reduce amount of information. As a result, the speed of the ellipse detection was improved. Also in order to the ellipse detection, we selected the five ellipse parameters at random And then to select the optimal parameters of the ellipse, the linear least-squares approximation is applied. To verify the ellipse detection, RANSAC algorithm is applied. After the algorithm proposed in this study was implemented, the results applied to the real images showed an aocuracy of 75% and speed was very fast to compared with other researches. It mean that the proposed algorithm was valuable to detect the ellipses in the image.

• Journal of Biomedical Engineering Research
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• v.17 no.1
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• pp.25-32
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• 1996

A new analytic method has been developed for the analysis of sperm morphology using Hough transform. This method is based on the characteristic that sperm heads have elliptic shape in addition to the density difference with the background Sperm heads are represented in elliptic form with five parameter, and the optimal parameters are estimated by iterative Hough transform. To reduce processing time practically, we restricted the transformed space in minimum volume and moved the searching volume to the maximum gradient for the estimated error. Morphological parameters were calculated from estimated sperm head boundaries without further processing.

• Proceedings of the Korea Water Resources Association Conference
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• 2005.05b
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• pp.199-203
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• 2005

One of the most important hydrological response characteristics is the lag time. It is well known as being under the influence of the morphometric properties of the basin, which could be expressed by catchment shape descriptors. In this paper, the geometric characteristics of an equivalent ellipse proposed by Moussa(2003) is applied for the lag time analysis. The lag time is obtained from the rainfall-runoff observed data by the method of moments suggested by Nash(1960) and the relationships between the basin morphometric properties and the lag time are discussed as applied to 3 catchments in Korea. Additionally, the shapes of equivalent ellipse are examined how they are transformed from upstream area to downstream one. As a result, the relationship between descriptors based on a equivalent ellipse a+b and $a+b+{\epsilon}OM$, and the lag time is shown to be close and the shape of ellipse is presented to approach a circle along the river downwards. Also, the notion of compactness which is used to express the shape of an irregular plan-form is tried to apply.

• Journal of Korea Society of Industrial Information Systems
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• v.13 no.4
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• pp.56-63
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• 2008

Image calibration at preprocessing step is very important for face recognition rate improvement, and background noise deletion affects accuracy of face recognition specially. In this paper, a method is proposed to remove background area utilizing elliptical model at preprocessing step for face recognition rate improvement. As human face has the shape of ellipse, a face contour can be easily detected by using the elliptical model in face images.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.1
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• pp.685-688
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• 2005

In this study, an efficient algorithm for the numerical search of the geodesic path of the creeping wave on a doubly curved surface is developed. The ellipsoid as a doubly curved surface is studied because of its three dimensional nature in that it can be used to simulate the body of an aircraft, or a missile body. Numerical result of the geodesic path on an ellipsoid is given.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2004.05a
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• pp.41.2-41
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• 2004

본 발표에서는, 3차원 형상의 피스톤을 모방절삭이 아닌 CNC절삭을 행하기 위해 고속 이송계의 개발 사례를 다루었다. 여기서 다양한 고속 이송계의 구축형태와 적용 가능한 핵심요소 부품들을 비교하여 고속 이송 시스템으로서의 장단점을 검토하였다. 또한 타원형상의 가공물을 고속으로 처리하기 위한 소프트웨어와 제어보드에 대해 자세히 설명하였다. 비대칭 원형 절삭가공을 위한 장치개발이 공작기계 설계의 축소판이다.

• Geophysics and Geophysical Exploration
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• v.27 no.1
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• pp.51-56
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• 2024

In this paper, the vector gravity and gravity gradient tensor of an elliptical disk are derived. The vector gravity of an elliptical disk is defined by differentiating the gravitational potential due to the elliptical disk expressed by a double integral with respect to each axial direction. The vector gravity defined by the double integral is then transformed into a line integral of a closed curve along the elliptical disk boundary using the complex Green's theorem. Finally, vector gravity due to the elliptical disk is derived by 1D parametric numerical integration along the elliptical disk boundary. The xz, yz, zz components of the gravity gradient tensor due to the elliptical disk are obtained by differentiating the vector gravity with respect to vertical direction. The xx, yy, xy components are derived by differentiating the horizontal components of the vector gravity in the form of a double integral with respect to horizontal directions and then using the complex Green's theorem.

• Composites Research
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• v.24 no.6
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• pp.37-48
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• 2011

A volume integral equation method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solids containing interacting multiple isotropic or anisotropic elliptical inclusions subject to remote uniaxial tension. The method is applied to two-dimensional problems involving long parallel elliptical cylindrical inclusions. A detailed analysis of stress field at the interface between the matrix and the central inclusion is carried out for square and hexagonal packing of the inclusions. Effects of the number of isotropic or anisotropic elliptical inclusions and various fiber volume fractions for the circular inclusion circumscribing its respective elliptical inclusion on the stress field at the interface between the matrix and the central inclusion are also investigated in detail. The accuracy and efficiency of the method are examined through comparison with results obtained from analytical and finite element methods. The method is shown to be very accurate and effective for investigating the local stresses in composites containing isotropic or anisotropic elliptical fibers.