• 제목/요약/키워드: Fixed-Point Algorithm

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SoC 하드웨어 설계를 위한 SIFT 특징점 위치 결정 알고리즘의 고정 소수점 모델링 및 성능 분석 (Fixed-Point Modeling and Performance Analysis of a SIFT Keypoints Localization Algorithm for SoC Hardware Design)

  • 박찬일;이수현;정용진
    • 대한전자공학회논문지SD
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    • 제45권6호
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    • pp.49-59
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    • 2008
  • 본 논문에서는 SIFT(Scale Invariant Feature Transform) 알고리즘을 임베디드 환경에서 실시간으로 처리하기 위해 가장 연산량이 많은 특징점 위치 결정 단계를 고정 소수점 모델로 설계 및 분석하고 그에 근거한 하드웨어 구조를 제안한다. SIFT 알고리즘은 객체의 꼭지점이나 모서리와 같이 색상 성분의 차가 심한 구역에서 얻어진 특징점 주위 픽셀의 벡터성분을 추출하는 알고리즘으로, 현재 얼굴인식, 3차원 객체 인식, 파노라마, 3차원 영상 복원 작업의 핵심 알고리즘으로 연구 되고 있다. 본 알고리즘에 대한 최적의 하드웨어 구현을 위해 특징점 위치(Keypoint Localization)와 방향(Orient Assignment)에 대한 정확도, 오차율을 사용하여 고정 소수점 모델에서 각 중요 변수들의 비트 크기를 결정 한다. 얻어진 고정 소수점 모델은 원래의 부동 소수점 모델과 비교했을 때 정확도 93.57%, 오차율 2.72%의 결과를 보이며, 고정 소수점 모델은 부동 소수점 모델과 비교하여 제거된 특징점의 대부분이 두 영상에서 추출된 특징점 끼리의 매칭과정에서 불필요한 객체의 모서리 영역에 몰려있음을 확인했다. 고정 소수점 모델링 결과 ARM 400MHz 환경에서 약 3시간, Pentium Core2Duo 2.13GHz 환경에서 약 15초의 연산시간을 갖는 부동 소수점 모델이 동일한 환경에서 약 1시간과 10초의 연산시간을 가지며, 최적화된 고정 소수점 모델을 하드웨어로 구현 시 $10{\sim}15\;frame/sec$의 성능을 보일 것으로 예상한다.

STRONG CONVERGENCE THEOREMS FOR FIXED POINT PROBLEMS OF ASYMPTOTICALLY QUASI-𝜙-NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE

  • Jeong, Jae Ug
    • Journal of applied mathematics & informatics
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    • 제32권5_6호
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    • pp.621-633
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    • 2014
  • In this paper, we introduce a general iterative algorithm for asymptotically quasi-${\phi}$-nonexpansive mappings in the intermediate sense to have the strong convergence in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding results announced by many authors.

다주파수 입력을 갖는 비선형 시스템의 안정성 및 Chaos 해석 (Chaotic Response and Stability Analysis for Multi-input Nonlinear Systems)

  • 김영배
    • 한국정밀공학회지
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    • 제12권1호
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    • pp.123-131
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    • 1995
  • 다주파수 입력을 갖는 강한 비선형 시스템의 유사주기 (quasi-periodic) 해를 해석하기 위하여 개선된 고정 점법(FPA:Fixed Point Alogrithm)을 개발하였다. 안정성 및 천이 특성을 판별하기 위하여 사용되어지는 Floquest 지수인 해석적 자코비언을 구하기 위하여 Poincare 맵상에서 이산 적분법을 새로이 고안, 사용하였다. 본 방법의 우수성을 입증하기 위하여 2개의 주파수 입력을 갖는 선형 시스템과 비선형 시스템을 예로 사용하였다. 본 방법을 이용하여 비선형 시스템에서 발생한 복잡한 chaos 현상을 체계적으로 해석하였다.

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RANDOM GENERALIZED SET-VALUED COMPLEMENTARITY PROBLEMS

  • Lee, Byung-Soo;Huang, Nan-Jing
    • 대한수학회지
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    • 제34권1호
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    • pp.1-12
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    • 1997
  • Complementaity problem theory developed by Lemke [10], Cottle and Dantzig [8] and others in the early 1960s and thereafter, has numerous applications in diverse fields of mathematical and engineering sciences. And it is closely related to variational inquality theory and fixed point theory. Recently, fixed point methods for the solving of nonlinear complementarity problems were considered by Noor et al. [11, 12]. Also complementarity problems related to variational inequality problems were investigated by Chang [1], Cottle [7] and others.

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The Three-step Intermixed Iteration for Two Finite Families of Nonlinear Mappings in a Hilbert Space

  • Suwannaut, Sarawut;Kangtunyakarn, Atid
    • Kyungpook Mathematical Journal
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    • 제62권1호
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    • pp.69-88
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    • 2022
  • In this work, the three-step intermixed iteration for two finite families of nonlinear mappings is introduced. We prove a strong convergence theorem for approximating a common fixed point of a strict pseudo-contraction and strictly pseudononspreading mapping in a Hilbert space. Some additional results are obtained. Finally, a numerical example in a space of real numbers is also given and illustrated.

Maximum Efficiency Point Tracking Algorithm Using Oxygen Access Ratio Control for Fuel Cell Systems

  • Jang, Min-Ho;Lee, Jae-Moon;Kim, Jong-Hoon;Park, Jong-Hu;Cho, Bo-Hyung
    • Journal of Power Electronics
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    • 제11권2호
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    • pp.194-201
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    • 2011
  • The air flow supplied to a fuel cell system is one of the most significant factors in determining fuel efficiency. The conventional method of controlling the air flow is to fix the oxygen supply at an estimated constant rate for optimal efficiency. However, the actual optimal point can deviated from the pre-set value due to temperature, load conditions and so on. In this paper, the maximum efficiency point tracking (MEPT) algorithm is proposed for finding the optimal air supply rate in real time to maximize the net-power generation of fuel cell systems. The fixed step MEPT algorithm has slow dynamics, thus it affects the overall efficiency. As a result, the variable step MEPT algorithm is proposed to compensate for this problem instead of a fixed one. The complete small signal model of a PEM Fuel cell system is developed to perform a stability analysis and to present a design guideline. For a design example, a 1kW PEM fuel cell system with a DSP 56F807 (Motorola Inc) was built and tested using the proposed MEPT algorithm. This control algorithm is very effective for a soft current change load like a grid connected system or a hybrid electric vehicle system with a secondary energy source.

WEAK CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, MONOTONE MAPPINGS AND PSEUDOCONTRACTIVE MAPPINGS

  • JUNG, JONG SOO
    • 대한수학회지
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    • 제52권6호
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    • pp.1179-1194
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    • 2015
  • In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem related to a continuous monotone mapping, the set of solutions of a variational inequality problem for a continuous monotone mapping, and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces. Weak convergence for the proposed iterative algorithm is proved. Our results improve and extend some recent results in the literature.

AN ADAPTIVE PRIMAL-DUAL FULL-NEWTON STEP INFEASIBLE INTERIOR-POINT ALGORITHM FOR LINEAR OPTIMIZATION

  • Asadi, Soodabeh;Mansouri, Hossein;Zangiabadi, Maryam
    • 대한수학회보
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    • 제53권6호
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    • pp.1831-1844
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    • 2016
  • In this paper, we improve the full-Newton step infeasible interior-point algorithm proposed by Mansouri et al. [6]. The algorithm takes only one full-Newton step in a major iteration. To perform this step, the algorithm adopts the largest logical value for the barrier update parameter ${\theta}$. This value is adapted with the value of proximity function ${\delta}$ related to (x, y, s) in current iteration of the algorithm. We derive a suitable interval to change the parameter ${\theta}$ from iteration to iteration. This leads to more flexibilities in the algorithm, compared to the situation that ${\theta}$ takes a default fixed value.

유한 알파벳 PID제어기 설계 (Design of the PID Controller Using Finite Alphabet Optimization)

  • 양윤혁;권오규
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.647-649
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    • 2004
  • When a controller is implemented by a one-chip processor with fixed-point operations, the finite alphabet problem usually occurs since parameters and signals should be taken in a finite set of values. This paper formulates PID finite alphabet PID control problem which combines the PID controller with the finite alphabet problem. We will propose a PID parameter tuning method based on an optimization algorithm under the finite alphabet condition. The PID parameters can be represented by a fixed-point representation, and then the problem is formulated as an optimization with constraints that parameters are taken in the finite set. Some simulation are to be performed to exemplify the performance of the PID parameter tuning method proposed in this paper.

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주요성분분석과 고정점 알고리즘 독립성분분석에 의한 얼굴인식 (Face Recognition by Using Principal Component Anaysis and Fixed-Point Independent Component Analysis)

  • 조용현
    • 한국산업융합학회 논문집
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    • 제8권3호
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    • pp.143-148
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    • 2005
  • This paper presents a hybrid method for recognizing the faces by using principal component analysis(PCA) and fixed-point independent component analysis(FP-ICA). PCA is used to whiten the data, which reduces the effects of second-order statistics to the nonlinearities. FP-ICA is applied to extract the statistically independent features of face image. The proposed method has been applied to the problems for recognizing the 20 face images(10 persons * 2 scenes) of 324*243 pixels from Yale face database. The 3 distances such as city-block, Euclidean, negative angle are used as measures when match the probe images to the nearest gallery images. The experimental results show that the proposed method has a superior recognition performances(speed, rate). The negative angle has been relatively achieved more an accurate similarity than city-block or Euclidean.

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