• 제목/요약/키워드: geometric transformation

검색결과 241건 처리시간 0.024초

일차함수의 그래프에 기초한 이차함수의 그래프에 대한 교수학적 분석 (An Analysis on the Pedagogical Aspect of Quadratic Function Graphs Based on Linear Function Graphs)

  • 김진환
    • 대한수학교육학회지:학교수학
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    • 제10권1호
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    • pp.43-61
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    • 2008
  • 현 교육과정에서 이차함수 그래프에 관한 교수-학습은 대수적 조작에 의한 완전제곱형식으로의 변환을 강조하고 이미 선행한 일차함수의 그래프와는 무관하게 다루어지고 있다. 본 논문은 이차함수 그래프의 구조적 특성이라 할 수 있는 대칭성, 꼭지점 및 합동에 대한 기하적인 근거를 일차함수의 그래프에 기초하여 분석하고 이것의 결과를 구체적 이차함수에 대해 그 꼭지점의 좌표 및 절편을 찾는 데 적용한다. 본 연구는 이차함수 그래프의 구조적 특성을 일차함수의 그래프와 기하적으로 연결시키는 데 의의가 있으며 그 기하적인 과정은 완전제곱형식의 대수적 절차로 연결된다. 이러한 연결은 일차함수의 그래프에 대한 이해가 이차함수의 그래프에 대한 이해로 전이되어 이차함수에 대한 기하적인 이해를 넓히는 교수-학습방법이 될 수 있을 것이다.

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3차원 정보 제공을 위한 X-선 검색장치의 기하학적 모델링 (The Geometric Modeling for 3D Information of X-ray Inspection)

  • 이흥호;이승민
    • 전기학회논문지
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    • 제62권8호
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    • pp.1151-1156
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    • 2013
  • In this study, to clearly establish the concept of a geometric modeling I apply for the concept of Pushbroom, limited to two-dimensional radiation Locator to provide a three-dimensional information purposes. Respect to the radiation scanner Pushbroom modeling techniques, geometric modeling method was presented introduced to extract three-dimensional information as long as the rotational component of the Gamma-Ray Linear Pushbroom Stereo System, introduced the two-dimensional and three-dimensional spatial information in the matching relation that can be induced. In addition, the pseudo-inverse matrix by using the conventional least-squares method, GCP(Ground Control Point) to demonstrate compliance by calculating the key parameters. Projection transformation matrix is calculated for obtaining three-dimensional information from two-dimensional information can be used as the primary relationship, and through the application of a radiation image matching technology will make it possible to extract three-dimensional information from two-dimensional X-ray imaging.

LATERAL CONTROL OF AUTONOMOUS VEHICLE USING SEVENBERG-MARQUARDT NEURAL NETWORK ALGORITHM

  • Kim, Y.-B.;Lee, K.-B.;Kim, Y.-J.;Ahn, O.-S.
    • International Journal of Automotive Technology
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    • 제3권2호
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    • pp.71-78
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    • 2002
  • A new control method far vision-based autonomous vehicle is proposed to determine navigation direction by analyzing lane information from a camera and to navigate a vehicle. In this paper, characteristic featured data points are extracted from lane images using a lane recognition algorithm. Then the vehicle is controlled using new Levenberg-Marquardt neural network algorithm. To verify the usefulness of the algorithm, another algorithm, which utilizes the geometric relation of a camera and vehicle, is introduced. The second one involves transformation from an image coordinate to a vehicle coordinate, then steering is determined from Ackermann angle. The steering scheme using Ackermann angle is heavily depends on the correct geometric data of a vehicle and a camera. Meanwhile, the proposed neural network algorithm does not need geometric relations and it depends on the driving style of human driver. The proposed method is superior than other referenced neural network algorithms such as conjugate gradient method or gradient decent one in autonomous lateral control .

Radarsat 영상의 기하보정 방법에 대한 비교 연구 - DEM 해상도에 따라 - (A Comparative Study of Geocoding Methods for Radarsat Image - According to the DEM Resolutions -)

  • 한동엽;박민호;김용일
    • 대한원격탐사학회지
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    • 제14권1호
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    • pp.69-82
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    • 1998
  • SAR 영상은 기존의 전자광학적 센서가 갖고 있는 자료취득의 제한을 극복하고, 광학적 센서와 상호보완되는 정보를 제공한다. 하지만 SAR 센서와 지면의 기하학적 특성으로 인하여 영상에 내재되어 있는 다양한 기하학적 왜곡을 제거할 필요가 있다. SAR 영상의 기하보정 방법으로 여러 가지 다양한 기법이 소개되고 있지만, SAR 영상을 정확하게 기하보정하는 것은 쉽지 않다. 특히 Radarsat 위성에 채택되고 있는 "International" 타원체와 국내의 "Bessel" 타원체간의 변환관계가 확립되지 않아 기하보정에 어려움이 있다. 보편적으로 많이 이용되는 모의영상을 이용한 기하보정 방법과 공선조건식을 응용한 기하보정 방법에는 수치표고모형이 이용된다. 본 연구에서는 기하보정에 사용되는 방법간의 장점과 단점을 파악하고 국내에 적용될 수 있는 방법을 찾아냈다.

Vignetting Dimensional Geometric Models and a Downhill Simplex Search

  • Kim, Hyung Tae;Lee, Duk Yeon;Choi, Dongwoon;Kang, Jaehyeon;Lee, Dong-Wook
    • Current Optics and Photonics
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    • 제6권2호
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    • pp.161-170
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    • 2022
  • Three-dimensional (3D) geometric models are introduced to correct vignetting, and a downhill simplex search is applied to determine the coefficients of a 3D model used in digital microscopy. Vignetting is nonuniform illuminance with a geometric regularity on a two-dimensional (2D) image plane, which allows the illuminance distribution to be estimated using 3D models. The 3D models are defined using generalized polynomials and arbitrary coefficients. Because the 3D models are nonlinear, their coefficients are determined using a simplex search. The cost function of the simplex search is defined to minimize the error between the 3D model and the reference image of a standard white board. The conventional and proposed methods for correcting the vignetting are used in experiments on four inspection systems based on machine vision and microscopy. The methods are investigated using various performance indices, including the coefficient of determination, the mean absolute error, and the uniformity after correction. The proposed method is intuitive and shows performance similar to the conventional approach, using a smaller number of coefficients.

현대 무용의상에 나타난 인체의 추상화에 관한 연구 - 오스카 슐레머의 의상이론을 중심으로 - (A Study on the Abstraction of the Human Body in Contemporary Dance Costumes - Focusing on Oscar Schlemer's Costume Theory -)

  • 한경하;금기숙
    • 복식
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    • 제60권10호
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    • pp.133-145
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    • 2010
  • The study used four basic formats classified based on the four principles on costumes discussed in the paper 'Human Beings and Arts Phenomena' by Oskar Schlemmer who studied the relationships between stage space and the human body as an analysis tool with regard to analyses on the abstraction of human body in contemporary dance costume. Abstraction of human body expressed in costume for contemporary dance is as follows: Expansions caused by unclear boundary between spaces and costumes, and the principles of three-dimensional abstract spaces based on a geometric cube change heads, trunks, arms and legs to achieve expansions. Similar mechanical shape is a type of shape made in a succession of functional principles of human body in relationships with spaces. As mechanical mechanism is added to the geometric transformation of a specific part of human body, mechanicalness is contained in it. Motion organisms are geometric simplification of moving traces in a space based on conversion into mechanical organisms based on principles of motion, and as mechanical rotation, consecutive speed caused by refraction and directionality are suggested, mobility is achieved. Immaterial shape is based on change into a metaphysical form, and it is converted into animals, plants or a third life that symbolize body parts. It has metaphysical significance in each body part and extends sensibility. As a result of the study, development into abstract succession and a techno art mode has been confirmed. Combination of geometric cubic figures with the organic human body and configuration of the human body pursued by Oskar Schlemmer's geometric abstraction through the proactive accommodation of mechanical aesthetics has been succeeded and expressed in the contemporary dance costumes.

3자유도 병렬기구의 위치오차 보정기술에 관한 연구 (A Study on the Error Compensation of Three-DOF Translational Parallel Manipulator)

  • 신욱진;조남규
    • 한국공작기계학회논문집
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    • 제13권3호
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    • pp.44-52
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    • 2004
  • This paper proposed a error compensation methodology for three-DOF translational parallel manipulator. The proposed method uses CMM (coordinate measuring machine) as metrology equipment to measure the position of end-effector. To identify the transform relationships between the coordinate system of the parallel manipulator and the CMM coordinate system, a new coordinate referencing (or coordinate system identification) technique is presented. By using this technique, accurate coordinate transformation relationships are efficiently established. According to these coordinate transformation relationships, an equation to calculate the compensating error components at any arbitrary position of the end-effector is derived. In this paper, Monte Carlo simulation method is applied to simulate the compensation process. Through the simulation results, the proposed error compensation method proves its effectiveness and feasibility.

폐쇄계를 포함하는 탄성 기계시스템의 동역학적 해석 (Dynamic Analysis of Flexible Mechanical System)

  • 안덕환;이병훈
    • 대한기계학회논문집
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    • 제19권1호
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    • pp.271-276
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    • 1995
  • This paper presents a systematic method for the dynamic analysis of flexible mechanical systems containing closed kinematic loops. Kinematics between pairs of contiguous flexible bodies is described with the joint coordinates and the deformation modal coordinates. The cut-joint constraint equations associated with the closed kinematic loops are derived, simply using the geometric conditions. The equations of motions are initially written in terms of the joint and modal coordinates using the velocity transformation technique. Lagrange multipliers associated with the cut-joint constraints for closed-loop systems are then eliminated systematically using the generalized coordinate partitioning method, resulting to a minimal set of equations of motion.

색도 변환과 퍼지 클러스터링을 이용한 입술영역 추출 (Extraction of Lip Region using Chromaticity Transformation and Fuzzy Clustering)

  • 김정엽
    • 한국멀티미디어학회논문지
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    • 제17권7호
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    • pp.806-817
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    • 2014
  • The extraction of lip region is essential to Lip Reading, which is a field of image processing to get some meaningful information by the analysis of lip movement from human face image. Many conventional methods to extract lip region are proposed. One is getting the position of lip by using geometric face structure. The other discriminates lip and skin regions by using color information only. The former is more complex than the latter, however it can analyze black and white image also. The latter is very simple compared to the former, however it is very difficult to discriminate lip and skin regions because of close similarity between these two regions. And also, the accuracy is relatively low compared to the former. Conventional analysis of color coordinate systems are mostly based on specific extraction scheme for lip regions rather than coordinate system itself. In this paper, the method for selection of effective color coordinate system and chromaticity transformation to discriminate these two lip and skin region are proposed.

요동운동 롤러 종동절과 디스크 캠 기구의 운동해석을 위한 원호 접근법에 관한 연구 (A Study on circular Arc Approach for Motion Analysis of Oscillating Roller Follower and Disk Cam Mechanisms)

  • 구병국;신중호;윤호업;장옥화
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 추계학술대회 논문집
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    • pp.523-526
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    • 2000
  • This paper performs the motion analysis for a disk cam and a follower mechanism using a circular arc method, a coordinate transformation method and an instant velocity method in order to find a contact point between the cam and the follower. Based on the proposed method, the displacement and the velocity are calculated by using the geometric relationships of the cam mechanism. Also, the acceleration is determined on using the central difference method. As the results, this paper presents the original curve and the analyzed curve for the motion analysis of the disk cam for an example.

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