• Title/Summary/Keyword: Geometric similarity

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The Effect of Similarity Condition for the Test Results in a Wind Tunnel Test (풍동실험에서 상사조건이 실험결과에 미치는 영향에 관한 연구)

  • 봉춘근
    • Journal of Korean Society for Atmospheric Environment
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    • v.16 no.4
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    • pp.351-362
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    • 2000
  • To set the similarity conditions between a prototype usually in the field and its reduced-scale model is a crucial part in model tests. No technique is available to keep perfect similarity for this procedure so far. The experimental work using a wind tunnel is not exceptional. based on the field measurements, the effect of stack parameters and wind conditions on the dispersion of stack plume has been investigated in the laboratory. in this paper intensive methodology is focused on matching these similarities. Due to the limitations to keep perfect similarity conditions some simplifications are involved in common. In this study geometric conditions and kinematic conditions using Froude number and Reynolds number have been con-sidered to keep the similarity conditions required. From the tests it is found that the critical Reynolds number (Recrit) is 2,700 when the height of stack discharge is 50mm. The dispersion has a similar trend for the higher Reynolds number than the critical Reynolds number. It is also found that different Froude number does not make any significant influence for the normalized tracer gas concentrations at the recipient providing the same ratio of the wind speed to the discharge speed. No significant effect of stack diameter is observed in the normalized tracer gas concentrations with the same Frounde number. The similarity conditions therefore used in this study are reliable to simulate the conditions in prototype into the wind tunnel tests.

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Study on Design of Air-water Two-phase Flow Centrifugal Pump Based on Similarity Law

  • Matsushita, Naoki;Furukawa, Akinori;Watanabe, Satoshi;Okuma, Kusuo
    • International Journal of Fluid Machinery and Systems
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    • v.2 no.2
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    • pp.127-135
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    • 2009
  • A conventional centrifugal pump causes a drastic deterioration of air-water two-phase flow performances even at an air-water two-phase flow condition of inlet void fraction less than 10% in the range of relatively low water flow rate. Then we have developed a two-phase flow centrifugal pump which consists of a tandem arrangement of double rotating cascades and blades of outer cascade have higher outlet angle more than $90^{\circ}$. In design of the two-phase flow pump for various sized and operating conditions, similarity relations of geometric dimensions to hydraulic performances is very useful. The similarity relations of rotational speed, impeller diameter and blade height are investigated for the developed impeller in the present paper. As the results, the similarity law of rotational speed and impeller diameter is clarified experimentally even in two-phase flow condition. In addition, influences of blade height on air-water two-phase flow performances indicate a little difference from the similarity relations.

2D Planar Object Tracking using Improved Chamfer Matching Likelihood (개선된 챔퍼매칭 우도기반 2차원 평면 객체 추적)

  • Oh, Chi-Min;Jeong, Mun-Ho;You, Bum-Jae;Lee, Chil-Woo
    • The KIPS Transactions:PartB
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    • v.17B no.1
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    • pp.37-46
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    • 2010
  • In this paper we have presented a two dimensional model based tracking system using improved chamfer matching. Conventional chamfer matching could not calculate similarity well between the object and image when there is very cluttered background. Then we have improved chamfer matching to calculate similarity well even in very cluttered background with edge and corner feature points. Improved chamfer matching is used as likelihood function of particle filter which tracks the geometric object. Geometric model which uses edge and corner feature points, is a discriminant descriptor in color changes. Particle Filter is more non-linear tracking system than Kalman Filter. Then the presented method uses geometric model, particle filter and improved chamfer matching for tracking object in complex environment. In experimental result, the robustness of our system is proved by comparing other methods.

EMPIRICAL REALITIES FOR A MINIMAL DESCRIPTION RISKY ASSET MODEL. THE NEED FOR FRACTAL FEATURES

  • Christopher C.Heyde;Liu, S.
    • Journal of the Korean Mathematical Society
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    • v.38 no.5
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    • pp.1047-1059
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    • 2001
  • The classical Geometric Brownian motion (GBM) model for the price of a risky asset, from which the huge financial derivatives industry has developed, stipulates that the log returns are iid Gaussian. however, typical log returns data show a distribution with much higher peaks and heavier tails than the Gaussian as well as evidence of strong and persistent dependence. In this paper we describe a simple replacement for GBM, a fractal activity time Geometric Brownian motion (FATGBM) model based on fractal activity time which readily explains these observed features in the data. Consequences of the model are explained, and examples are given to illustrate how the self-similar scaling properties of the activity time check out in practice.

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Mobile robot indoor map making using fuzzy numbers and graph theory

  • Kim, Wan-Joo;Ko, Joong-Hyup;Chung, Myung-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.491-495
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    • 1993
  • In this paper, we present a methodology to model an indoor environment of a mobile robot using fuzzy numbers and to make a global map of the robot environment using graph theory. We describe any geometric primitive of robot environment as a parameter vector in parameter space and represent the ill-known values of the prameterized geometric primitive by means of fuzzy numbers restricted to appropriate membership functions. Also we describe the spatial relations between geometric prinitives using graph theory for local maps. For making the global map of the mobile robot environment, the correspondence problem between local maps is solved using a fuzzy similarity measure and a Bipartite graph matching technique.

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Moving Vehicle Segmentation from Plane Constraint

  • Kang, Dong-Joong;Ha, Jong-Eun;Kim, Jin-Young;Kim, Min-Sung;Lho, Tae-Jung
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2393-2396
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    • 2005
  • We present a method to detect on-road vehicle using geometric invariant of feature points on side planes of the vehicle. The vehicles are assumed into a set of planes and the invariant from motion information of features on the plane segments the plane from the theory that a geometric invariant value defined by five points on a plane is preserved under a projective transform. Harris corners as a salient image point are used to give motion information with the normalized correlation centered at these points. We define a probabilistic criterion to test the similarity of invariant values between sequential frames. Experimental results using images of real road scenes are presented.

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Adaptive State Feedback Control for Nonlinear Rotary Inverted Pendulum System using Similarity Transformation Method: Implementation of Real-Time Experiment (유사변환기법을 이용한 비선형 회전식 역진자의 적응형 상태궤환 제어시스템: 실시간 실험 구현)

  • Cho, Hyun-Cheol;Lee, Young-Jin;Lee, Kwon-Soon;Koo, Kyung-Wan
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.2
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    • pp.130-135
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    • 2009
  • In recent years, researches on rotary inverted pendulum control systems have been significantly focused due their highly nonlinear dynamics and complicated geometric structures. This paper presents a novel control approach for such systems by means of similarity transformation theory. At first, we represent nonlinear system dynamics to the controllability-formed state space model including a time-varying parameter vector. We establish the state-feedback control configuration based on the transformed model and derive an adaptive control law for adjusting desired characteristic equation. Numerical analysis is achieved to evaluate our control method and demonstrate its superiority by comparing it to the traditional control strategy. Furthermore, real-time control experiment is carried out to test its practical reliability.

The transmission Network clustering using a fuzzy entropy function (퍼지 엔트로피 함수를 이용한 송전 네트워크 클러스터링)

  • Jang, Se-Hwan;Kim, Jin-Ho;Lee, Sang-Hyuk;Park, Jun-Ho
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.225-227
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    • 2006
  • The transmission network clustering using a fuzzy entropy function are proposed in this paper. We can define a similarity measure through a fuzzy entropy. All node in the transmission network system has its own values indicating the physical characteristics of that system and the similarity measure in this paper is defined through the system-wide characteristic values at each node. However, to tackle the geometric mis-clustering problem, that is, to avoid the clustering of geometrically distant locations with similar measures, the locational informations are properly considered and incorporated in the proposed similarity measure. In this paper, a new regional clustering measure for the transmission network system is proposed and proved. The proposed measure is verified through IEEE 39 bus system.

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A Density Peak Clustering Algorithm Based on Information Bottleneck

  • Yongli Liu;Congcong Zhao;Hao Chao
    • Journal of Information Processing Systems
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    • v.19 no.6
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    • pp.778-790
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    • 2023
  • Although density peak clustering can often easily yield excellent results, there is still room for improvement when dealing with complex, high-dimensional datasets. One of the main limitations of this algorithm is its reliance on geometric distance as the sole similarity measurement. To address this limitation, we draw inspiration from the information bottleneck theory, and propose a novel density peak clustering algorithm that incorporates this theory as a similarity measure. Specifically, our algorithm utilizes the joint probability distribution between data objects and feature information, and employs the loss of mutual information as the measurement standard. This approach not only eliminates the potential for subjective error in selecting similarity method, but also enhances performance on datasets with multiple centers and high dimensionality. To evaluate the effectiveness of our algorithm, we conducted experiments using ten carefully selected datasets and compared the results with three other algorithms. The experimental results demonstrate that our information bottleneck-based density peaks clustering (IBDPC) algorithm consistently achieves high levels of accuracy, highlighting its potential as a valuable tool for data clustering tasks.

Comparison of Occupational Exposure Limits in Six Agencies for Hazardous Substances Related Workers' Periodic Health Examination in South Korea (우리나라 특수건강진단 대상물질에 대한 6개 기관의 직업적 노출 기준 비교)

  • Lee, Sangyoon;Suh, Chun-Hui;Kim, Se-Yeong;Ye, Byeong Jin;Sul, Jingon;Son, Jun-Seok;Yoon, Jongwan;Hong, Sukwoo;Ryu, Ji Young;Kim, Dae-Hwan
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.23 no.2
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    • pp.148-155
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    • 2013
  • Objectives: This study was performed in order to compare the average levels and similarity of occupational exposure limits in South Korea, the U.S., the E.U., Germany, Japan and Finland. Methods: In this study, occupational exposure limits (OELs) for one hundred and seventy seven hazardous substances which are managed in the workplace by the Occupational Safety and Health Act in South Korea were matched with those of other countries. The units for the exposure limits of the same substance (identical CAS number) were unified and the exposure limits in each country were compared with threshold limit values (TLVs) of the American Conference of Governmental Industrial Hygienists (ACGIH) using a geometric mean method. Geometric similarity was calculated to assess the association by each country. Results: The exposure limits according to ACGIH TLVs in South Korea, the E.U., Germany, Japan, and Finland were 148, 37, 76, 90, and 110, respectively. When using TLVs of ACGIH as a standard, the geometric mean ratios of Germany, Finland, the E.U., South Korea, and Japan were 0.79, 0.80, 0.82, 1.19, and 1.27, respectively. Geometric similarity with TLVs of ACGIH was highest in South Korea (0.75) followed by Japan (0.56), the E.U. (0.52), Finland (0.50), and Germany (0.46). Conclusions: Through the comparison of levels of OELs and similarities among South Korea, the U.S., the E.U., Germany, Japan, and Finland, we could better understand the characteristics of occupational exposure limits by country.