• 한국수학사학회지
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• 제34권1호
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• pp.1-20
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• 2021

Logic and intuition are considered as the opposite extremes of teaching geometry, and any teaching method of geometry is to be placed between these extremes. The purpose of this study is to identify the characteristics of logical and intuitive approaches for teaching geometry and to derive didactical implications by taking Euclid's Elements and Clairaut's Elements respectively representing the extremes. To this end, comparing the composition and contents of each book, we analyze which propositions Clairaut chose from Euclid's Elements, how their approaches differ in definitions, proofs, and geometrical constructions, and what unique approaches Clairaut took. The results reveal that Clairaut mainly chose propositions from Euclid's books 1, 3, 6, 11, and 12 to provide the contexts that show why such ideas were needed, rather than the sudden appearance of abstract and formal propositions, and omitted or modified the process of justification according to learners' levels. These propose a variety of intuitive strategies in line with trends of teaching geometry towards emphasis on conceptual understanding and different levels of justification. Specifically, such as the general principle of similarity and the infinite geometric approach shown in Clairaut's Elements, we could confirm that intuition-based geometry does not necessarily aim for tasks with low cognitive demand, but must be taught in a way that learners can understand.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제9권6호
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• pp.2132-2143
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• 2015

This paper presents two distance geometry-based algorithms for wireless location in cellular network systems-distance geometry filtering (DGF) and distance geometry constraint (DGC). With time-of-arrival range measurements, the DGF algorithm estimates the mobile station position by selecting a set of measurements with relatively small NLOS (non-line-of-sight) errors, and the DGC algorithm optimizes the measurements first and then estimates the position using those optimized measurements. Simulation results show that the proposed algorithms can mitigate the impact of NLOS errors and effectively improve the accuracy of wireless location.

• 대한원격탐사학회:학술대회논문집
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• 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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• pp.182-185
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• 2005

Satellite cameras are calibrated before launch in detail and in general, but it cannot be guaranteed that the geometry is not changing during launch and caused by thermal influence of the sun in the orbit. Modem satellite imaging systems are based on CCD-line sensors. Because of the required high sampling rate the length of used CCD-lines is limited. For reaching a sufficient swath width, some CCD-lines are combined to a longer virtual CCD-line. The images generated by the individual CCD-lines do overlap slightly and so they can be shifted in x- and y-direction in relation to a chosen reference image just based on tie points. For the alignment and difference in scale, control points are required. The resulting virtual image has only negligible errors in areas with very large difference in height caused by the difference in the location of the projection centers. Color images can be related to the joint panchromatic scenes just based on tie points. Pan-sharpened images may show only small color shifts in very mountainous areas and for moving objects. The direct sensor orientation has to be calibrated based on control points. Discrepancies in horizontal shift can only be separated from attitude discrepancies with a good three-dimensional control point distribution. For such a calibration a program based on geometric reconstruction of the sensor orientation is required. The approximations by 3D-affine transformation or direct linear transformation (DL n cannot be used. These methods do have also disadvantages for standard sensor orientation. The image orientation by geometric reconstruction can be improved by self calibration with additional parameters for the analysis and compensation of remaining systematic effects for example caused by a not linear CCD-line. The determined sensor geometry can be used for the generation? of rational polynomial coefficients, describing the sensor geometry by relations of polynomials of the ground coordinates X, Y and Z.

• 소성∙가공
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• 제5권2호
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• pp.165-175
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• 1996

the process of strip twisting is practiced for the manufacture of some commercial parts such as elements for tube type line mixers. A thin metal strip with rectangular cross section is twisted thru an angle greater than 180。. Initial geometry is altered in to a complex one with dimen-sional changes. In practice several tryouts are necessary to obtain required dimensional accu-racies. A simple analysis model is proposed to predict the dimensional changes forming torque and axial force.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2002년도 ICCAS
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• pp.34.4-34
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• 2002

1. Introduction 2. Basic Camera models and geometry 3. Projection of line widths 4. Camera calibration algorithm 5. Experimental results 6. Conclusions and future work

• 한국지능시스템학회논문지
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• 제14권4호
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• pp.506-511
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• 2004

최근 몇 년 동안 사람들의 고유한 생리적인 특징을 이용한 생체 인식은 새로운 학문으로서 연구 및 개발이 활발하게 진행되고 있다. 지금까지, 오로지 지문 인식만이 다른 생체 인식에 비해 확인과 식별 시스템들이 더 정교하고, 비싼 취득 인터페이스들과 인식 과정을 필요로 하기 때문에 온라인 보안 검사를 위하여 한정된 성공을 보았다. Hand-Geometry는 생체 인식의 확인 그리고 취득의 편리 때문에 식별 그리고 확인을 위하여 사용되고 있다. 그러므로, 본 논문은 이러한 특징을 가지는 손의 기하학적인 Hand-Geometry 인식 시스템을 제안하고자 한다. 해부학적인 관점에서, 인간의 손은 길이, 폭, 두께, 기하학적인 모양, 손바닥의 모양, 그리고 손가락들의 기하학적인 모양까지 특성으로 나타내어질 수 있다. 본 논문에서 제안한 Hand-Geometry 인식 시스템은 30개의 특징 데이터를 가진다. 그러나 특징 데이터 가운데 사용자의 Hand-Geometry의 특징에 따라 길이 데이터가 변하는 것을 실험적으로 발견하였다. 따라서 이와 같은 가변적인 길이 데이터를 안정화시키기 위하여 본 논문에서는 길이 데이터의 기준점을 손톱 아래 점으로 정하고, GA를 적용하여 보다 안정된 특징점을 추출하였다.

• 대한공간정보학회지
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• 제15권4호
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• pp.81-88
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• 2007

선형 CCD 센서에 의해 획득되는 위성영상의 기하는 프레임 카메라 영상의 기하와는 차이점을 가지고 있다. 이는 각 스캔 선마다 영상의 외부표정요소가 다르기 때문에 발생한다. 따라서 기존의 프레임 영상에 사용되었던 에피폴라 기하와는 다른 기하가 필요하게 된다. 이와 같은 관점에서, 본 연구에서는 대표적인 선형 CCD 센서를 사용하여 촬영된 IKONOS 위성영상을 이용하여 에피폴라 영상을 제작하기 위한 영상 재배열 방법에 대한 연구를 수행하였으며, 영상의 투영조건을 중심투영이 아닌 평행투영으로 간주하여 구성된 2D 부등각 센서모델을 적용하였다. 이센서 모델에 의해 구성된 에피폴라 선식으로부터 유도된 정규 매개변수와 부등각 변환을 적용하여 에피폴라 재배열영상을 제작하였다. 결과로써, 2D 부등각 센서모델의 정확도가 검증되었으며, 제작된 에피폴라 영상을 사용하여 추출된 3차원 위치정확도는 IKONOS의 RFM 위치정확도와 유사하게 도출되었다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2001년도 ICCAS
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• pp.150.4-150
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• 2001

The geometry PIG provides pipeline operators with continuous measurement of pipe centerline coordinates, bend radius, displacement, and bending strain in a single pass through the pipeline. This study introduces the developed geometry PIG(Pipeline Inspection Gauge) which is used for geometry surveys. This tool is equipped with the several sensor systems. The Inertial Navigation System (INS) comprises angle rate gyros and linear accelerometers. The system measures the precise path of the PIG during its traverse of the pipeline. This system is also used to produce a detailed map of the lire, measure curvature. Odometers measure the PIG´s distance moved along the line and instantaneous speed during the PIG run. Caliper sensors measure pipeline ...

• 천문학회지
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• 제46권3호
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• pp.97-102
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• 2013

In the present work, we prove the validity of two theorems on null-paths in a version of absolute parallelismgeometry. A version of these theorems has been originally established and proved by Kermak, McCrea and Whittaker (KMW) in the context of Riemannian geometry. The importance of such theorems lies in their applications to derive a general formula for the redshift of spectral lines coming from distant objects. The formula derived in the present work can be applied to both cosmological and astrophysical redshifts. It takes into account the shifts resulting from gravitation, different motions of the source of photons, spin of the moving particle (photons) and the direction of the line of sight. It is shown that this formula cannot be derived in the context of Riemannian geometry, but it can be reduced to a formula given by KMW under certain conditions.

• 한국수학사학회지
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• 제32권1호
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• pp.17-25
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• 2019

This essay elucidates the way the geometries of space-time theories explain material bodies' motions. A conventional attempt to interpret the way that space-time geometry explains is to consider the geometrical structure of space-time as involving a causally efficient entity that directs material bodies to follow their trajectories corresponding to the laws of motion. Newtonian substantival space is interpreted as an entity that acts but is not acted on by the motions of material bodies. And Einstein's curved space-time is interpreted as an entity that causes the motions of bodies. This essay argues against this line of thought and provides an alternative understanding of the way space-time geometry explain the laws of motion. The workings of the way that Newton's flat and Einstein's curved space-time explains the law of motion is such that space-time geometry encodes the principle of inertia which specifies straight lines of moving bodies.