• 대한수학회논문집
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• 제36권1호
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• pp.149-164
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• 2021

By using a statistical connection, we define a semi-symmetric metric connection on statistical manifolds and study the geometry of these manifolds and their submanifolds. We show the symmetry properties of the curvature tensor with respect to the semi-symmetric metric connections. Also, we prove the induced connection on a submanifold with respect to a semi-symmetric metric connection is a semi-symmetric metric connection and the second fundamental form coincides with the second fundamental form of the Levi-Civita connection. Furthermore, we obtain the Gauss, Codazzi and Ricci equations with respect to the new connection. Finally, we construct non-trivial examples of statistical manifolds admitting a semi-symmetric metric connection.

• ETRI Journal
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• 제44권1호
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• pp.94-104
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• 2022

Because of its convenience and compatibility with various image processing techniques, digital image representation of holograms is generally used in digital holography, and thus, quality assessment of digital holograms is an essential issue. This study proposes a new objective quality metric for digital phase hologram image processing. The proposed metric is based on a newly defined phase distortion created by taking the 2π periodicity of phase information into account. The experimental results show that the proposed metric correlates with reconstruction image quality better than the existing metric under random distortions and also works well with JPEG 2000 compression. It is expected to be broadly used in phase image processing and compression applications including phase holograms.

• 대한수학회보
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• 제60권6호
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• pp.1641-1650
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• 2023

It is our goal in this study to present the structure of isotropic mean Berwald Finsler warped product metrics. We bring out the rich class of warped product Finsler metrics behaviour under this condition. We show that every Finsler warped product metric of dimension n ≥ 2 is of isotropic mean Berwald curvature if and only if it is a weakly Berwald metric. Also, we prove that every locally dually flat Finsler warped product metric is weakly Berwaldian. Finally, we prove that every Finsler warped product metric is of isotropic Berwald curvature if and only if it is a Berwald metric.

• 충청수학회지
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• 제13권2호
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• pp.81-86
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• 2001

In this paper, we present the proof of the property for interior metric space and geodesic space.

• East Asian mathematical journal
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• 제16권2호
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• pp.199-203
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• 2000

We give nine necessary and sufficient conditions for a metric space to be complete.

• 대한수학회보
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• 제26권1호
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• pp.47-52
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• 1989

Methods of Riemannian geometry has played an important role in the study of compact transformation groups. Every effective action of a compact Lie group on a differential manifold leaves a Riemannian metric invariant and the study of such actions reduces to the one involving the group of isometries of a Riemannian metric on the manifold which is, a priori, a Lie group under the compact open topology. Once an action of a compact Lie group is given an invariant metric is easily constructed by the averaging method and the Lie group is naturally imbedded in the group of isometries as a Lie subgroup. But usually this invariant metric has more symmetries than those given by the original action. Therefore the first question one may ask is when one can find a Riemannian metric so that the given action coincides with the action of the full group of isometries. This seems to be a difficult question to answer which depends very much on the orbit structure and the group itself. In this paper we give a sufficient condition that a subgroup action of a compact Lie group has an invariant metric which is not invariant under the full action of the group and figure out some aspects of the action and the orbit structure regarding the invariant Riemannian metric. In fact, according to our results, this is possible if there is a larger transformation group, containing the oringnal action and either having larger orbit somewhere or having exactly the same orbit structure but with an orbit on which a Riemannian metric is ivariant under the orginal action of the group and not under that of the larger one. Recently R. Saerens and W. Zame showed that every compact Lie group can be realized as the full group of isometries of Riemannian metric. [SZ] This answers a question closely related to ours but the situation turns out to be quite different in the two problems.

• 한국컴퓨터정보학회논문지
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• 제14권8호
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• pp.59-64
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• 2009

본 논문에서는 무선 매쉬 네트워크에서 제공하는 라우팅 프로토콜이 적용된 라우팅 메트릭(metric)에 따라 간섭 경로를 얼마나 잘 회피하는가에 관한 논문이다. 무선 메쉬 네트워크는 기존 네트워크 기술과는 달리 노드의 이동성이 적고 에너지 영향도 덜 제한적인 특징을 가지고 있다. 따라서 이러한 네트워크 특성을 반영할 수 있는 경로 설정 기술이 필요하며 적합한 경로를 결정하기 위한 새로운 라우팅 메트릭이 요구된다. 최근에 제시된 라우팅 메트릭은 링크 품질(Link Quality)를 정확히 나타내도록 설계되어 있지만, 주변에 인접한 노드들의 트래픽 상황을 고려하지 않고 경로를 설정한다. 이웃 노드의 간섭으로 인하여 트래픽 혼잡이 빈번히 발생하게 되어 전송율과 종단간의 지연이 발생하는 문제점이 있다. 따라서 이웃 노드의 트래픽 상황을 고려하여 효율적으로 데이터를 전송할 수 있는 링크 메트릭을 찾아 라우팅 경로를 설정하는 메트릭을 제안한다. 시뮬레이션을 통해서 제안하는 라우팅 메트릭에서 주변 노드의 트래픽 간섭을 회피 경로가 설정되어 종단간의 지연을 감소시키는 것을 확인하였다.

• 대한인간공학회지
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• 제31권1호
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• pp.63-76
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• 2012

Objective: The main objective of this study is to propose a user-centered assessment metric for ubiquitous services. Background: As the ubiquitous era took off, the interactions between ubiquitous services and users have come to take an important position. It is essential to conceptualize a new assessment model that considers human-system interaction capability with a user-centered design perspective. Method: The evaluation model for the interactivity of ubiquitous service was approached from the concept of usability and inter-personality of services. As a validation study, suggested assessment metric was utilized to evaluate the u-Home service. Priority weighting of each assessment metric was derived using the quantification type-I analysis. Results: To evaluate interactivity, this study suggested a quantitative metric for user testing performed after classifying the interactivity characteristics to contextualization; ubiquity; user experience; and service capability. Conclusion: This study suggest the metric for the ubiquitous service that are experienced in real life, and introduced the concept of ubiquitous service interactivity. Application: The suggested evaluation metric can be used to evaluate interactivity level of ubiquitous service and identify the potential problem and usability requirements at the early stage of service development.

• 한국인터넷방송통신학회논문지
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• 제9권6호
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• pp.43-48
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• 2009

무선 메쉬 네트워크(Wireless mesh networks, WMNs)는 Ad-hoc 네트워크와는 달리 백본망 구조를 가지고 있기 때문에 이동성이 적고, 단말들이나 다른 망들과 다중경로로 통신이 가능하다. 무선 메쉬 네트워크에서는 기존의 ad-hoc 네트워크의 알고리즘을 보완한 ETX, ETT, MIC 등과 같은 라우팅 경로선정 메트릭이 제안되고 있다. 제안된 다양한 라우팅 메트릭에는 최소의 흡수를 고려하는 Hop_count, 링크 품질을 고려하는 ETX(Expected Transmission Count)나 ETT(Expected Transmission Time)와 같은 metric이 존재한다. 하지만 ETX의 경우 전송률을 구할 때 각 방향에서 측정패킷의 조건이 달라 실질적인 전송률을 제공해주지 못한다는 단점이 있다. 본 논문에서는 ETX를 개선하여 hop_count를 반영하고, 실질 전송률을 고려하는 IETC(Improved Expected Transmission with hop count)를 제안하였다. 실험을 통해 제안된 메트릭이 전송율과 경로 선정에 있어서 기존 메트릭보다 나은 결과를 보였다.

• 한국측량학회지
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• 제6권1호
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• pp.13-24
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• 1988

원형 구조물의 표면에 대한 삼차원 위치 결정은 여러 면에서 그 응용이 기대된다. 구조물의 진단을 고려해 볼때 이것은 광범위한 범주에서 하나의 의미있는 Topic이 될 것이며, 이러한 위치 결정을 함에 있어 수렴사진의 활용은 종내의 측량에 비해 많은 이점을 가지고 있다. 본 논문은 Metric과 Non-metric Camera를 이용하여 원사형의 피사체를 수렴사진으로 촬영하고 Bundle-Adjustment에 의해 그 결과를 고찰한 것이다. Bundle-Adjustment에 의한 오차 해석으로부터 표준 오차를 비교함과 아울러 Metric과 Nonmetric Camera로부터 얻은 피사체의 삼차원 좌표도 비교하였다.