• 한국정밀공학회지
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• 제16권7호
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• pp.119-124
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• 1999

A method to find the line of sight ray in space which corresponds to a point in an image plane is presented. The line of sight ray is defined by two points which are the intersections between the two calibration planes and the sight ray. The intersection point is found by the oblique coordinate mapping between the image plane and the calibration plane in the space. The proposed oblique coordinate mapping method has advantages over the transformation matrix method in the required memory space and computation time.

• 한국측량학회지
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• 제22권4호
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• pp.313-321
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• 2004

정부에서는 위성측위시스템(GNSS)의 보급에 따라 2007년부터 세계측지계 적용을 결정하였으며, LBS, 텔레메틱스 산업계에서도 CPS/IS활용에 적합한 좌표계 도입을 요청하고 있다. 또한, 기존의 파일기반이 아닌 단일DB기반인 기본지리정보의 효을적 구축과 유지관리, 사용자의 편의성 제고를 고려하여 한반도 전역을 포괄하는 단일평면좌표계를 기본지리정보좌표계(UTM-K)로 정의하고, 도로분야 기본지리정보구축에 적용하여 문제점을 보완하였다. 기본지리정보좌표계(UTM-K)는 한반도 전역을 포괄하는 단일평면좌표계가 되도록 투영법은 TM투영법, 원점축척계수는 0.9996, 투영원점(경도: $127^{\circ}$30'00", 위도: $38^{\circ}$00'00"), 원점좌표(N=2,000.000m, E=1,000.000m)를 적용하였다. UTM-K는 기관별 지리정보구축과정에서 발생한 오류수정과 다양하게 제작된 지도데이터를 연계 $.$활용에 적용할 수 있고, 상당한 비용절감이 기대된다. 다만, 도입과정에서 복수 좌표계 사용에 따른 혼란은 지속적인 홍보와 교육으로 해소할 수 있을 것이다

• Journal of applied mathematics & informatics
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• 제32권5_6호
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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.

• 한국측량학회지
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• 제1권2호
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• pp.42-59
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• 1983

우리나라 삼각점의 위치표시에 사용되고 있는 가우스상사이중투영에 의한 평면직각좌표의 실상을 새로운 기법으로 정리, 분석하는 한편 그 결과를 토대로 공공측량 등의 정확도 향상과 측량 실무면에서의 편익을 위하여 투영영역내에서의 측지선의 왜곡을 보다 적게하는 새로운 투영법, 평면직각좌표계 및 선증대율의 도입을 시도하였다. 본 연구에서 제시한 새로운 투영법, 평면직각좌표계 및 좌표원점에서의 선증대율은 다음과 같다. 투영 : 가우스 크뤼거 투영 평면직각좌표계 : 8 계 좌표원점에서의 선증대율 : $m_0=0.9999$

• 대한기계학회논문집A
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• 제29권2호
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• pp.247-252
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• 2005

This research presents a three-dimensional modeling technique for a flexible sheet. A relative coordinate formulation is used to represent the kinematics of the sheet. The three-dimensional flexible sheet is modeled by multi-rigid bodies interconnected by out-of-plane joints and plate force elements. A parent node is designated as a master body and is connected to the ground by a floating joint to cover the rigid motion of the flexible sheet in space. Since the in-plane deformation of a sheet such as a paper and a film is relatively small, compared to out-of-plane deformation, only the out-of-plane deformation is accounted for in this research. The recursive formulation has been adopted to solve the equations of motion efficiently. An example is presented to show the validity of the proposed method.

• Journal of Mechanical Science and Technology
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• 제19권spc1호
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• pp.305-311
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• 2005

This research presents a three-dimensional modeling technique for a flexible sheet. A relative coordinate formulation is used to represent the kinematics of the sheet. The three-dimensional flexible sheet is modeled by multi-rigid bodies interconnected by out-of-plane joints and plate force elements. A parent node is designated as a master body and is connected to the ground by a floating joint to cover the rigid motion of the flexible sheet in space. Since the in-plane deformation of a sheet such as a paper and a film is relatively small, compared to out-of-plane deformation, only the out-of-plane deformation is accounted for in this research. The recursive formulation has been adopted to solve the equations of motion efficiently. An example is presented to show the validity of the proposed method.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2005년도 추계학술대회논문집
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• pp.573-576
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• 2005

This research presents a three-dimensional modeling technique for a flexible sheet. A relative coordinate formulation is used to represent the kinematics of the sheet. The three-dimensional flexible sheet is modeled by multi-rigid bodies interconnected by out-of-plane joints and plate force elements. A parent node is designated as a master body and is connected to the ground by a floating joint to cover the rigid motion of the flexible sheet in space. Since the in-plane deformation of a sheet such as a paper and a film is relatively small, compared to out-of-plane deformation, only the out-of-plane deformation is accounted for in this research. The recursive formulation has been adopted to solve the equations of motion efficiently. An example is presented to show the validity of the proposed method.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제20권1호
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• pp.39-49
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• 2016

The History of Mathematics (HOM) was integrated in teaching the Cartesian Coordinate Plane (CCP) to Grade Seven learners of Moonwalk National High School using Lesson Study. After the lesson was taught, there were three valuable issues emerged: (1) HOM is a Springboard and/or a Medium of Motivation in Teaching CCP; (2) The History of CCP Opened a Wider Perspective about Its Real-life Application in the Modern World (3) Integration of History Developed a Sense of Purpose and an Appreciation of Mathematics Among Learners. Feedbacks solicited from the learners showed that they have understanding of the importance of studying Mathematics after they learned the life and contributions of Rene Descartes to Mathematics. Hence, integration of history plays a vital role in developing positive attitudes among learners towards Math.

• The Journal of the Acoustical Society of Korea
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• 제17권2E호
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• pp.47-52
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• 1998

An analysis of dynamic responses is carried out on monoclinic anisotropic system due to a buried harmonic line source. The load is in the form of a normal stress acting along an arbitrary axis on the plane of symmetry within the orthotropic materials: In case that the line load is acting along the symmetry axis normal to the plane of symmetry, plane wave equation is coupled with verital shear wave and longitudinal wave. However, if the line load is acting along an arbitrary axis normal to the plane of symmetry, plane wave equation is coupled with vertical shear wave, longitudinal wave and horizontal shear wave. We first considered the equation of motion in a reference coordinate system, where the line load is coincident with a symmetry axis of the orthotropic material. Then the equation of motion is transformed into one with respect to general coordinate system with azimuthal angle by using transformation tensor. Plane wave solutions of monoclinic systems are derived for infinite media. Finally complete solutions for the plane harmonic wave are obtained by calculating the inverse of the integral transforms, in which bulk wave poles are avoided by deforming the contour of the integration to the complex plane. Numerical results for examples of orthotropic material belonging to monoclinic symmetry are demonstrated.

• 한국의류학회지
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• 제20권3호
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• pp.519-526
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• 1996

To investigate the relationship between plane and side drape coefficient, the drape tester designed in which coordinate of projected outline of draped specimen could be recorded. By using this drape tester, the three dimensional shape, plane and side drape coefficient were obtained from coordinate of plane projected shape, and furthermore examined the tendency in changes of drape coefficient in terms of diameter of specimen, deflection angle, and bending rigidity. The side drape coefficients were constant regardless of changes in diameter of specimen. The plane drape coefficients, however, made a little difference according to changes in diameter of specimen. The experimental drape coefficient agreed well with the theoretical drape coefficient according to deflection angle. In the meanwhile, when the plane drape coefficients were regressed with the side drape coefficents, regression equation was $y=0.375x-0.002x^2+6.9\times10^{-5}x^3$. When the $\overline{\theta_s}$ is mean of deflection angle of selected points which have the longest and shortest distance from center point in the node, the theoretical drape coefficient calculated from $\overline{\theta_s}$ has high correlation with experimental drape coefficient. The plane and side drape coefficient changed linearly with increasing the bending length, $\sqrt[3]{EI/w}$.