• Title/Summary/Keyword: rotation map

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POSITIVELY EQUICONTINUOUS FLOWS ARE TOPOLOGICALLY CONJUGATE TO ROTATION FLOWS

  • Bae, Jong-Sook;Min, Kyung-Jin;Sung, Duk-Hyon;Yang, Seung-Kab
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.707-716
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    • 1999
  • In this pater we study the continuity of rotation numbers of liftings of circle maps with degree one. And apply our result to prove that a positively equicontinuous flow of homeomorphisms on the circle $S^1$ is topologically conjugate to a continuous flow of rotation maps.

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3D Object Recognition Using SOFM (3D Object Recognition Using SOFM)

  • Cho, Hyun-Chul;Shon, Ho-Woong
    • Journal of the Korean Geophysical Society
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    • v.9 no.2
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    • pp.99-103
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    • 2006
  • 3D object recognition independent of translation and rotation using an ultrasonic sensor array, invariant moment vectors and SOFM(Self Organizing Feature Map) neural networks is presented. Using invariant moment vectors of the acquired 16×8 pixel data of square, rectangular, cylindric and regular triangular blocks, 3D objects could be classified by SOFM neural networks. Invariant moment vectors are constant independent of translation and rotation. The recognition rates for the training and testing data were 95.91% and 92.13%, respectively.

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Local and Global Navigation Maps for Safe UAV Flight (드론의 안전비행을 위한 국부 및 전역지도 인터페이스)

  • Yu, Sanghyeong;Jeon, Jongwoo;Cho, Kwangsu
    • The Journal of Korea Robotics Society
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    • v.13 no.2
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    • pp.113-120
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    • 2018
  • To fly a drone or unmanned aerial vechicle(UAV) safely, its pilot needs to maintain high situation awareness of its flight space. One of the important ways to improve the flight space awareness is to integrate both the global and the local navigation map a drone provides. However, the drone pilot often has to use the inconsistent reference frames or perspectives between the two maps. In specific, the global navigation map tends to display space information in the third-person perspective, whereas the local map tends to use the first-person perspective through the drone camera. This inconsistent perspective problem makes the pilot use mental rotation to align the different perspectives. In addition, integrating different dimensionalities (2D vs. 3D) of the two maps may aggravate the pilot's cognitive load of mental rotation. Therefore, this study aims to investigate the relation between perspective difference ($0^{\circ}$, $90^{\circ}$, $180^{\circ}$, $270^{\circ}$) and the map dimensionality matches (3D-3D vs. 3D-2D) to improve the way of integrating the two maps. The results show that the pilot's flight space awareness improves when the perspective differences are smaller and also when the dimensionalities between the two maps are matched.

FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E4

  • Aksoyak, Ferdag Kahraman;Yayli, Yusuf
    • Honam Mathematical Journal
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    • v.38 no.2
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    • pp.305-316
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    • 2016
  • In this paper we study general rotational surfaces in the 4-dimensional Euclidean space $\mathbb{E}^4$ and give a characterization of flat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.

BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41

  • Aksoyak, Ferdag Kahraman;Yayli, Yusuf
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1863-1874
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    • 2014
  • In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space $\mathbb{E}^4_1$. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.

Representation and recognition of polyhedral objects in a single 2-D image using the signature technique (하나의 2차원 영상에서 표면의 signature를 이용한 다면체의 표현 및 인식 알고리즘)

  • 이부형;한헌수
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.2
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    • pp.63-70
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    • 1997
  • This paper proposes a new algorithm for recognizing polyhedral objects using a single 2-D image. It is base don a new representation scheme having two level hierarchey. In the lower level, geometrical features of each primitive surface are represented using their signatures and the variation of signature due to rotation is represented suing the rotation map. In the higher level, topological features are represented in the inter-surface description table(SDT). Based on the proposed representaton scheme, loer level database searched to find a matching primitive surface. The srotation map determines the degree of rotation as well as the matchness. If all surfaces in a test object find their matching primitive surfaces, its structural information is compared with the SDTs of object models. If primitive surfaces of a test object equal to tha tof certain model and satisfy inter-surfaces relationship in SDT, a test object is recognized as the model.

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Performance analysis of Mini-MAP Architecture in Realtime Applications (실시간 응용시 Mini-MAP의 성능해석에 관한 연구)

  • Kim, Deok-Woo;Chung, Bum-Jin;Kwon, Wook-Hyun
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.221-225
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    • 1987
  • In this paper, the performance of Mini MAP architecture in realtime application is analyzed by analytic methods. The approximate equations for token rotation time and waiting time are obtained and using these equations network. performance is evaluated. According to the results obtained, Mini MAP architecture has good realtime performance and can be used to many real time applications.

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Semi Automatic Adjustment Method Development of Cadastral Non-coincidence based on knowledge of an expert on Cadastral (지적전문가 지식 기반의 반자동 방식에 의한 지적불부합지 정리 방법 개발)

  • Hong, Sung-Eon;Kim, Hyun-Suk
    • Spatial Information Research
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    • v.14 no.3 s.38
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    • pp.271-284
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    • 2006
  • This study suggests the adjustment method of cadastral non-coincidence using spatial data referenced digital cadastral map and a present state. In designing the methodology, we should introduce the semi-automatic method for guaranteeing the stability and the accuracy at the arrangement of cadastral non-coincidence based on some cadastral specialist. This study could mainly show you rotation type, bias type, and rotation/bias type among cadastral non-coincidence types. We selected the matching reference point through the prototype system which automatically arranges in the study area. And then, we analysis the optimum rotation ratio(-0.4%). Finally, this paper show you calibrating cadastral non-coincidence using the rotation ratio. The methodology of this study has a limitation for arranging in case of cadastral non-coincidence by the area variation and some irregular types with unknown reason. Therefore, this case should be surveyed in direct method.

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Low-end GPS Position Accuracy Enhancement Method by using Map Information (지도 정보를 활용한 저사양 GPS의 위치 정확도 향상 기법)

  • Choe, Tok Son;Kang, Jung Min;Kim, Han Sol;Park, Jin Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.4
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    • pp.659-665
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    • 2016
  • In this paper, we propose a novel position accuracy enhancement method of a low-end GPS using digital map information. The latest digital map has various kinds of information on geographical features. The proposed method uses position information of lane marks among the geographical features. We define the position information of lane marks as the reference points. The position information of a low-end GPS acquired for a period of time is defined as the source points. In the proposed method, rotation and translation matrices between the reference and the source points are calculated by using an Iterative Closest Point(ICP) algorithm. The source points are transformed by the obtained rotation and translation matrices. Finally, the transformed source points are projected on the reference points. Through these processes, the position accuracy of a low-end GPS is ultimately enhanced. To verify the proposed method, the various real experimental results are presented.

Design and Stability Analysis of MAP Network Management Module (MAP 네트워크 관리 모듈의 설계와 안정성 해석)

  • 김정호
    • Journal of the Korean Professional Engineers Association
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    • v.28 no.3
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    • pp.121-134
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    • 1995
  • To operate the automatic devices of manufacturing process more effectively and to solve the needs of the resource sharing, network technology is applied to the unit con-trol devices located In common manufacturing zone and operated by connecting them. The network management system, which controls and supervises the network resources in the communication network, is the function that is necessarily required in this net-work. For the stability in this network, this paper measures the variation of data packet length and node number and analyzes the variated value of the token rotation time and waiting time for the network operation. On the evalution of the performance, the data packet length varies from 10 bytes to 100 bytes in the operation of the group manage-ment network, the variation of the token rotation time and waiting time is less than 10 msec. When the variation of the data packet lenhth is less than 50 bytes, differences in token rotation time or waiting time is unnoticable. Since the waiting time in this case is less than 10 msec, response time Is fast enough.

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