• Title/Summary/Keyword: geometric distance

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Target Identification using the Mahalanobis Distance and Geometric Parameters (마할라노비스 거리와 기하학적 파라메터에 의한 표적의 인식)

  • 이준웅;권인소
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.7
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    • pp.814-820
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    • 1999
  • We propose a target identification algorithm for visual tracking. Target identification is realized by finding out corresponding line segments to the hypothesized model segments of the target. The key idea is the combination of the Mahalanobis distance with the geometrical relationship between model segments and extracted line segments.

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Dose Reduction According to Geometric Parameters of Digital Cerebral Angiography (두개부 혈관 조영검사 시 기하학적 특성에 따른 선량 감소 방안)

  • Park, Chan Woo;Cho, Pyong Kon
    • Journal of the Korean Society of Radiology
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    • v.13 no.3
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    • pp.399-406
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    • 2019
  • This study aims to find geometric parameters that the radiologist can change from time to time to reduce dose in angiography examinations. Depending on the geometric characteristics, the values calculated by effective dose were compared, while filming in fluoroscopy mode and Digital subtraction angiography, respectively. The study found that the lower the dose was in FPS mode, the lower the dose was reduced to 30-40%. Doses according to the X-ray angle were measured highest in AP View and lower as the angle went in the head direction. The greater the FOV, the higher the dose was 1.2-1.6 times, and the closer the distance between the X-ray tube and the table, the greater the dose was about 10%. Source-image intensifier distance (SID) get longer to 100 mm, dose of each fluoroscopy and Digital subtraction angiography increase up to 25-30%. In conclusion, various geometric characteristics in angiography examinations are parameters that can be applied by radiographers as frequently as possible, and appropriate geometric properties can be considered and applied in various situations, resulting in appropriate dose reduction.

ON POLAR TAXICAB GEOMETRY IN A PLANE

  • Park, Hyun Gyu;Kim, Kyung Rok;Ko, Il Seog;Kim, Byung Hak
    • Journal of applied mathematics & informatics
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    • v.32 no.5_6
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    • pp.783-790
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    • 2014
  • Most distance functions, including taxicab distance, are defined on Cartesian plane, and recent studies on distance functions have been mainly focused on Cartesian plane. However, most streets in cities include not only straight lines but also curves. Therefore, there is a significant need for a distance function to be defined on a curvilinear coordinate system. In this paper, we define a new function named polar taxicab distance, using polar coordinates. We prove that this function satisfies the conditions of distance function. We also investigate the geometric properties and classifications of circles in the plane with polar taxicab distance.

Theoretical Study of Design Parameters for the Thermal Stress in Engine Exhaust Manifold (엔진 배기매니폴드의 열응력 발생에 관한 설계 인자들의 이론적 연구)

  • Choi, Bok-Lok
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.6 no.1
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    • pp.50-56
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    • 2007
  • Exhaust manifold is generally subjected to thermal cycle loadings ; at hot condition, large compressive plastic deformations are generated, and at cold condition, tensile stresses are remained in highly deformed critical zones. These phenomena originate from the fact that thermal expansions of the runners are restricted by inlet flange clamped to the cylinder head, because the former is less stiff than the latter and, the temperature of the inlet flange is lower than that of the runners. Since the failure of an exhaust manifold is mainly caused by geometric constraints between the cylinder head and the manifold, the thermal stress can be controlled by geometric factors. The generic geometric factors include the inter distance (2R), the distance from the head to the outlet (L), the tube diameter(d) and the tube thickness (t). This criteria based on elastic analysis up to onset of yield apparently indicate that the pre-stress also reduces the factor; however, high temperature relaxation may reduce this effect at later operation stage.

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Analysis on the Influence of Wheel/Rail Geometric Parameters on the Equivalent/Conicity (차륜/레일 기하학적 인자에 의한 등가답면구배 영향 분석)

  • Hur Hyun-Moo;Kwon Sung-Tae
    • Journal of the Korean Society for Railway
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    • v.8 no.5
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    • pp.490-494
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    • 2005
  • The geometric parameters between wheel and rail change wheel/rail contact geometry characteristics, and this influence dynamic behavior of rolling stock. So, the selections of optimum geometric parameters between wheel and rail is important for planning of railway system. In this study, we have analyzed the influence of geometric parameters like wheel flange-back distance, gage, and rail inclination on the equivalent conicity relating to dynamic behavior. The analyses show the following results. The widening of wheel flange-back distanc, the decrement of gage increase the equivalent conicity and the increment of rail inclination show the sharp change of the equivalent conicity.

Geometric Error Analysis of Contact Type Three Points Supporting Method for Inner Diameter Measurement (접촉식 3점지지법에 의한 내경측정의 기하학적 오차 해석)

  • Kim, Min-Ho;Kim, Tae-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.5
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    • pp.69-76
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    • 2008
  • Inner diameter of bearing race is automatically measured by complete inspection system after grinding process. Contact type three points supporting method is widely applied to automatic inner diameter measurement because of its excellent stability. However, the geometric consideration regarding three points supporting method is not sufficient. In this study, the error equation from geometric error analysis of three points supporting method is found. The effect of factors in the error equation is also investigated. The error equation is linear for difference of diameter in sample and master on range of tolerance. An error becomes more and more larger, when the distance of two supporting balls or the diameter of supporting ball are increased. In the result, some considerations are proposed for measurement of inner diameter by the three points supporting method.

Numerical Simulation of an Impinging Jet with Various Nozzle-to-strip Distances in the Air-knife System

  • So, Hong-Yun;Yoon, Hyun-Gi;Chung, Myung-Kyoon
    • Corrosion Science and Technology
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    • v.9 no.6
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    • pp.239-246
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    • 2010
  • When galvanized steel strip is produced through a continuous hot-dip galvanizing process, the thickness of the adhered zinc film is controlled by impinging a thin plane nitrogen gas jet. The thickness of the zinc film is generally affected by impinging pressure distribution, its gradient and shearing stress at the steel strip. These factors are influenced by static pressure of gas spraying at air knife nozzle, a nozzle-to-strip distance and strip and a geometric shape of the air knife, as well. At industries, galvanized steel strip is produced by changing static pressure of gas and a distance between the air knife nozzle and strip based on experimental values but remaining a geometric shape of nozzle. Splashing and check-mark strain can generally occur when a distance between the air knife nozzle and strip is too short, while ability of zinc removal can lower due to pressure loss of impinging jet when a distance between the air knife nozzle and strip is too long. In present study, buckling of the jet and change of static pressure are observed by analyzing flow characteristics of the impinging jet. The distance from the nozzle exit to the strip varies from 6 mm to 16 mm by an increment of 2 mm. Moreover, final coating thickness with change of a distance between the air knife nozzle and strip is compared with each case. An ability of zinc removal with the various distances is predicted by numerically calculating the final coating thickness.

Geometric Evaluation of Patient-Specific 3D Bolus from 3D Printed Mold and Casting Method for Radiation Therapy

  • An, Hyun Joon;Kim, Myeong Soo;Kim, Jiseong;Son, Jaeman;Choi, Chang Heon;Park, Jong Min;Kim, Jung-in
    • Progress in Medical Physics
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    • v.30 no.1
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    • pp.32-38
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    • 2019
  • Purpose: The objective of this study is to evaluate the geometrical accuracy of a patient-specific bolus based on a three-dimensional (3D) printed mold and casting method. Materials and Methods: Three breast cancer patients undergoing treatment for a superficial region were scanned using computed tomography (CT) and a designed bolus structure through a treatment planning system (TPS). For the fabrication of patient-specific bolus, we cast harmless certified silicone into 3D printed molds. The produced bolus was also imaged using CT under the same conditions as the patient CT to acquire its geometrical shape. We compared the shapes of the produced bolus with the planned bolus structure from the TPS by measuring the average distance between two structures after a surface registration. Results and Conclusions: The result of the average difference in distance was within 1 mm and, as the worst case, the absolute difference did not exceed ${\pm}2mm$. The result of the geometric difference in the cross-section profile of each bolus was approximately 1 mm, which is a similar property of the average difference in distance. This discrepancy was negligible in affecting the dose reduction. The proposed fabrication of patient-specific bolus is useful for radiation therapy in the treatment of superficial regions, particularly those with an irregular shape.

Optimal Geometric Path and Minimum-Time Motion for a Manipulator Arm (로봇팔의 최적 기하학적 경로 및 시간최소화 운동)

  • Park, Jong-Keun;Han, Sung-Hyun;Kim, Tae-Han;Lee, Sang-Tak
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.204-213
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    • 1999
  • This paper suggests a numerical method of finding optimal geometric path and minimum-time motion for a manipulator arm. To find the minimum-time motion, the optimal geometric path is searched first, and the minimum-time motion is searched on this optimal path. In the algorithm finding optimal geometric path, the objective function is minimizing the combination of joint velocities, joint-jerks, and actuator forces as well as avoiding several static obstacles, where global search is performed by adjusting the seed points of the obstacle models. In the minimum-time algorithm, the traveling time is expressed by the linear combinations of finite-term quintic B-splines and the coefficients of the splines are obtained by nonlinear programming to minimize the total traveling time subject to the constraints of the velocity-dependent actuator forces. These two search algorithms are basically similar and their convergences are quite stable.

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Geometric Processing for Freeform Surfaces Based on High-Precision Torus Patch Approximation (토러스 패치 기반의 정밀 근사를 이용한 자유곡면의 기하학적 처리)

  • Park, Youngjin;Hong, Q Youn;Kim, Myung-Soo
    • Journal of the Korea Computer Graphics Society
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    • v.25 no.3
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    • pp.93-103
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    • 2019
  • We introduce a geometric processing method for freeform surfaces based on high-precision torus patch approximation, a new spatial data structure for efficient geometric operations on freeform surfaces. A torus patch fits the freeform surface with flexibility: it can handle not only positive and negative curvature but also a zero curvature. It is possible to precisely approximate the surface regardless of the convexity/concavity of the surface. Unlike the traditional method, a torus patch easily bounds the surface normal, and the offset of the torus becomes a torus again, thus helps the acceleration of various geometric operations. We have shown that the torus patch's approximation accuracy of the freeform surface is high by measuring the upper bound of the two-sided Hausdorff distance between the freeform surface and set of torus patches. Using the method, it can be easily processed to detect an intersection curve between two freeform surfaces and find the offset surface of the freeform surface.