• 제목/요약/키워드: Singular Point

검색결과 213건 처리시간 0.034초

THE METHOD OF REGULARIZATION RATIOS APPLIED TO RECONSTRUCTIONS OF ELASTIC RIGID OBSTACLES VIA THE FACTORIZATION METHOD

  • Kim, K.;Leem, K.H.;Pelekanos, G.
    • East Asian mathematical journal
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    • 제32권1호
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    • pp.129-138
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    • 2016
  • In this paper, we propose an efficient regularization technique (The Method of Regularized Ratios) for the reconstruction of the shape of a rigid elastic scatterer from far field measurements. The approach used is based on the factorization method and creates via Picard's condition ratios, baptized Regularized Ratios, that serve to effectively remove unwanted singular values that may lead to poor reconstructions. This is achieved through the use of a sophisticated algorithm that progressively adjusts an initially set moderate tolerance. In comparison with the well established Tikhonov-Morozov regularization techniques our new algorithm appears to be more computationally efficient as it doesn't require computation of the regularization parameter for each point in the grid.

직교 좌표 생성을 위한 방향성 및 특이점 추출 (Direction Information and Singular Point Extraction for Orthogonal Coordinate Creation)

  • 장지영;성연철;김승희;김성락
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2003년도 춘계학술발표논문집 (상)
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    • pp.703-706
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    • 2003
  • 이 논문은 입력 지문 영상에 대하여 블록 이진화와 병렬 세선화를 거친 이미지에 4개의 각기 다른 방향 성분 요소를 이용하여 각 블록에 대한 대표 방향 성분들을 추출하여 방향 성분 이미지를 얻었다. 추출된 대표 방향성분 이미지에 정의된 방향성 패턴을 적용시켜 일치되는 블록에 대하여 1차와 2차 중심점으로 추출하였다. 이렇게 추출된 1차와 2차 중심점을 이용하여 직교좌표를 생성하였다. 직교좌표는 지문영상을 처리하여 인식 및 인증시스템에서 유용하게 쓰일 수 있을 것이다.

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Development and Application of Distributed Multilayer On-line Monitoring System for High Voltage Vacuum Circuit Breaker

  • Mei, Fei;Mei, Jun;Zheng, Jianyong;Wang, Yiping
    • Journal of Electrical Engineering and Technology
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    • 제8권4호
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    • pp.813-823
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    • 2013
  • On-line monitoring system is important for high voltage vacuum circuit breakers (HVCBs) in operation condition assessment and fault diagnosis. A distributed multilayer system with client/server architecture is developed on rated voltage 10kV HVCB with spring operating mechanism. It can collect data when HVCB switches, calculate the necessary parameters, show the operation conditions and provide abundant information for fault diagnosis. Ensemble empirical mode decomposition (EEMD) is used to detect the singular point which is regarded as the contact moment. This method has been applied to on-line monitoring system successfully and its satisfactory effect has been proved through experiments. SVM and FCM are both effective methods for fault diagnosis. A combinative algorithm is designed to judge the faults of HVCB's operating mechanism. The system's precision and stability are confirmed by field tests.

축대칭 경계적분법에 의한 항공기 가스터빈 로터디스크 구조해석에 관한 연구 (A Study on Structural Analysis for Aircraft Gas Turbine Rotor Disks Using the Axisymmetric Boundary Integral Equation Method)

  • 공창덕;정석주
    • 대한기계학회논문집A
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    • 제20권8호
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    • pp.2524-2539
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    • 1996
  • A design process and an axisymmetric boundary integral equation method for precise structural analysis of the aircraft gas turbine rotor disk were developed. This axisymmetric boundary integral equation method for stress and steady-state thermal analysis was improved in solution accuracy by appling an implicit technique for Cauchy principal value evaluation, a subelement technique for weak singular integral evaluation and a double exponentical integral technoque for internal point solution near boundary surfaces. Stresses, temperatures, low cycle fatigue lifes and critical speeds for the turbine rotor disk of the thrust 1421 N class turbojet engine were analysed in a pratical calculation model problem.

Semi-Singularity in Stiffness Generation of an Anthropomorphic Robot

  • Kim, Sungbok;Sungho Moon;Cho, Doo-San
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2000년도 하계종합학술대회논문집
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    • pp.113-116
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    • 2000
  • This paper analyzes the singularity of an anthropomorphic robot associated with joint and operational stiffness generation from muscle stiffness. The singularity analysis is made simply based on the signs of the actual and the desired coupling joint stiffness. First, the relationships of the muscle stiffness and the actual joint stiffness, and the operational stiffness and the desired joint stiffness are examined. Second, according to the sign restriction on the actual coupling joint stiffness, the operational space is divided into the semi-singular(SS), the regular(R), and the semi-regular(SR) regions. Third, from the sign comparison of tile actual and the desired coupling joint stiffness, the sufficient condition for the semi-singularity in operational stiffness generation is derived. The limitation on the allowable operational stiffness when a task point belongs to SS, R, and SR regions is also discussed. Simulation results are given.

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단층분절을 정의하는 기준에 따른 울산단층의 분절화 (Fault segmentation along the Ulsan Fault System based on criteria of segment type)

  • 최원학;장천중
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2006년도 학술발표회 논문집
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    • pp.78-85
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    • 2006
  • The Ulsan Fault System continues from north of Gyeongju to Ulsan city, trending NNW-SSE and is about 50 km. Many Quaternary faults have been reported and investigated with outcrop observation. Lineaments have been extracted with aerial photograph interpretation and classified by their ranks. Trench excavations on the lineaments along Ulsan Fault System have been carried out to clarify the neotectonic movements and fault parameters such as the latest movement age, fault displacement, slip rate and recurrence interval. We have compiled data from previous studies on criteria of segment type such as lineament rank, seismicity, slip rate, and the latest fault movement. Based on these data, we tried to devide the Ulsan Fault System into several segments. The results of segmentation with each types of segment along the Ulsan Fault System did not show singular division point but overlapped or different length and location.

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NUMERICAL TREATMENT OF NON-MONOTONIC BLOW-PROBLEMS BASED ON SOME NON-LOCAL TRANSFORMATIONS

  • BASEM S. ATTILI
    • Journal of applied mathematics & informatics
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    • 제42권2호
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    • pp.321-331
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    • 2024
  • We consider the numerical treatment of blow-up problems having non-monotonic singular solutions that tend to infinity at some point in the domain. The use of standard numerical methods for solving problems with blow-up solutions can lead to significant errors. The reason being that solutions of such problems have singularities whose positions are unknown in advance. To be able to integrate such non-monotonic blow-up problems, we describe and use a method of non-local transformations. To show the efficiency of the method, we present a comparison of exact and numerical solutions in addition to some comparison with the work of other authors.

비파괴분석법에 의한 은제금도금유물의 판단을 위한 비교실험 연구 (A Study on Comparison Experiments for Judgement to the Nondestructive Analysis of Gold Plated Silverware Remains)

  • 심명보;유혜선;김수기
    • 보존과학회지
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    • 제27권1호
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    • pp.41-47
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    • 2011
  • 은 소지 위에 금을 도금한 은제금도금유물을 대상으로 성분분석을 위해 X선 형광 분석기를 이용하여 비파괴분석을 실시하면 소지금속인 Ag에서 전자궤도에 따라 무게백분율(wt.%)의 값이 큰 차이가 나타나는 특이점을 확인할 수 있다. 이러한 특이점을 이용하여 육안으로는 파악하기 쉽지 않은 유물에서도 은제금도금기법이 사용되었는지를 판단할 수 있는 근거를 제시하고자 재현시료를 제작하여 비교분석을 실시하였다. 그 결과 수은아말감도금법과 전기도금법으로 제작된 시료에서는 실제 유물들의 분석결과와 같은 결과를 볼 수 있었다. 하지만 금은합금시료의 경우 도금시료와는 달리 주성분들의 전자궤도에 따른 차이가 미미한 것을 확인할 수 있었다. 도금시료에서 나타나는 이러한 원인으로는 단일재료가 아닌 도금으로 인한 이중구조에 의해 도금층에서 XRF 빔을 흡수하면서 발생하는 것으로 보인다. 따라서 비파괴분석에서 나타나는 이러한 결과를 이용한다면 단면을 관찰하지 않아도 은제금도금 기법의 사용 여부를 판단할 수 있을 것으로 확인하였다.

융선 기울기의 변화량을 이용한 앙상블 지문분류 시스템 (An Ensemble Fingerprint Classification System Using Changes of Gradient of Ridge)

  • 윤경배;박창희
    • 한국지능시스템학회논문지
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    • 제13권5호
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    • pp.545-551
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    • 2003
  • 본 논문은 전통적인 지문분류 모델인 헨리식 분류방법으로는 적용이 어려운 현대의 자동화된 지문인식 시스템에서 대용량 데이터베이스 운용시 정합속도를 향상시키기 위한 융선 기울기의 변화량을 이용한 앙상블 지문분류 알고리즘을 적용한다. 기존의 분류체계인 헨리분류체계는 중심점과 삼각점을 모두 획득하는 회전낙인의 경우에 사용 가능한 분류방법이나 현대의 자동화된 지문인식 시스템에서는 입력센서의 크기 및 입력방법의 문제로 인하여, 헨리식 분류방법을 적용할 수 없다. 본 논문에서 제안하는 앙상블 지문분류 시스템 알고리즘은 융선 기울기의 변화량을 이용하여 삼각점을 획득하지 못한 영상에서도 기존의 헨리식 분류체계에 의해 분류된 5개의 문양을 분류할 수 있다. 이와 같은 방법으로 지문분류론 수행한 후 정합을 실행하면 정합 대상이 되는 데이터의 양이 줄어들게 되어 인식 시스템의 정합속도를 향상시킬 수 있다.

NUMERICAL IMPLEMENTATION OF THE QMR ALGORITHM BY USING DISCRETE STOCHASTIC ARITHMETIC

  • TOUTOUNIAN FAEZEH;KHOJASTEH SALKUYEH DAVOD;ASADI BAHRAM
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.457-473
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    • 2005
  • In each step of the quasi-minimal residual (QMR) method which uses a look-ahead variant of the nonsymmetric Lanczos process to generate basis vectors for the Krylov subspaces induced by A, it is necessary to decide whether to construct the Lanczos vectors $v_{n+l}\;and\;w{n+l}$ as regular or inner vectors. For a regular step it is necessary that $D_k\;=\;W^{T}_{k}V_{k}$ is nonsingular. Therefore, in the floating-point arithmetic, the smallest singular value of matrix $D_k$, ${\sigma}_min(D_k)$, is computed and an inner step is performed if $\sigma_{min}(D_k)<{\epsilon}$, where $\epsilon$ is a suitably chosen tolerance. In practice it is absolutely impossible to choose correctly the value of the tolerance $\epsilon$. The subject of this paper is to show how discrete stochastic arithmetic remedies the problem of this tolerance, as well as the problem of the other tolerances which are needed in the other checks of the QMR method with the estimation of the accuracy of some intermediate results. Numerical examples are used to show the good numerical properties.