• Title/Summary/Keyword: Coordinates transformation

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Geodesics-based Shape-preserving Mesh Parameterization (직선형 측지선에 기초한 원형보전형 메쉬 파라미터화)

  • 이혜영
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.7
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    • pp.414-420
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    • 2004
  • Among the desirable properties of a piecewise linear parameterization, guaranteeing a one-to-one mapping (i.e., no triangle flips in the parameter plane) is often sought. A one-to-one mapping is accomplished by non-negative coefficients in the affine transformation. In the Floater's method, the coefficients were computed after the 3D mesh was flattened by geodesic polar-mapping. But using this geodesic polar map introduces unnecessary local distortion. In this paper, a simple variant of the original shape-preserving mapping technique by Floater is introduced. A new simple method for calculating barycentric coordinates by using straightest geodesics is proposed. With this method, the non-negative coefficients are computed directly on the mesh, reducing the shape distortion introduced by the previously-used polar mapping. The parameterization is then found by solving a sparse linear system, and it provides a simple and visually-smooth piecewise linear mapping, without foldovers.

Study on the Coordinate Transformation by Means of Projection in Geodetic Surveying (대지측량(大地測量)에 있어서 투영법(投影法)에 의한 좌표변환(座標變換)의 연구(硏究))

  • Choi, Chul Soon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.2
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    • pp.101-107
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    • 1985
  • The coordinates of triangulation stations which has been used in Korea, were computed by means of the Gauss Conformal Double Projection in the 1910's. This projection has been considered as a problem in respect of accuracy, because the farther a station is from the origin, the larger the computational error becomes. In this paper, the Gauss Conformal Double Projection is compared with the T.M(Transverse Metcator) Projection which is widely used in many countries. In T.M projection method more accurate ground coordinates are obtained. This paper has an objective to improve the accuracy of public surveying by using the method presented in this paper.

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Volume measurement of limb edema using three dimensional registration method of depth images based on plane detection (깊이 영상의 평면 검출 기반 3차원 정합 기법을 이용한 상지 부종의 부피 측정 기술)

  • Lee, Wonhee;Kim, Kwang Gi;Chung, Seung Hyun
    • Journal of Korea Multimedia Society
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    • v.17 no.7
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    • pp.818-828
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    • 2014
  • After emerging of Microsoft Kinect, the interest in three-dimensional (3D) depth image was significantly increased. Depth image data of an object can be converted to 3D coordinates by simple arithmetic calculation and then can be reconstructed as a 3D model on computer. However, because the surface coordinates can be acquired only from the front area facing Kinect, total solid which has a closed surface cannot be reconstructed. In this paper, 3D registration method for multiple Kinects was suggested, in which surface information from each Kinect was simultaneously collected and registered in real time to build 3D total solid. To unify relative coordinate system used by each Kinect, 3D perspective transform was adopted. Also, to detect control points which are necessary to generate transformation matrix, 3D randomized Hough transform was used. Once transform matrices were generated, real time 3D reconstruction of various objects was possible. To verify the usefulness of suggested method, human arms were 3D reconstructed and the volumes of them were measured by using four Kinects. This volume measuring system was developed to monitor the level of lymphedema of patients after cancer treatment and the measurement difference with medical CT was lower than 5%, expected CT reconstruction error.

Vision based 3D Hand Interface Using Virtual Two-View Method (가상 양시점화 방법을 이용한 비전기반 3차원 손 인터페이스)

  • Bae, Dong-Hee;Kim, Jin-Mo
    • Journal of Korea Game Society
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    • v.13 no.5
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    • pp.43-54
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    • 2013
  • With the consistent development of the 3D application technique, visuals are available at more realistic quality and are utilized in many applications like game. In particular, interacting with 3D objects in virtual environments, 3D graphics have led to a substantial development in the augmented reality. This study proposes a 3D user interface to control objects in 3D space through virtual two-view method using only one camera. To do so, homography matrix including transformation information between arbitrary two positions of camera is calculated and 3D coordinates are reconstructed by employing the 2D hand coordinates derived from the single camera, homography matrix and projection matrix of camera. This method will result in more accurate and quick 3D information. This approach may be advantageous with respect to the reduced amount of calculation needed for using one camera rather than two and may be effective at the same time for real-time processes while it is economically efficient.

Localization of Unmanned Ground Vehicle using 3D Registration of DSM and Multiview Range Images: Application in Virtual Environment (DSM과 다시점 거리영상의 3차원 등록을 이용한 무인이동차량의 위치 추정: 가상환경에서의 적용)

  • Park, Soon-Yong;Choi, Sung-In;Jang, Jae-Seok;Jung, Soon-Ki;Kim, Jun;Chae, Jeong-Sook
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.700-710
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    • 2009
  • A computer vision technique of estimating the location of an unmanned ground vehicle is proposed. Identifying the location of the unmaned vehicle is very important task for automatic navigation of the vehicle. Conventional positioning sensors may fail to work properly in some real situations due to internal and external interferences. Given a DSM(Digital Surface Map), location of the vehicle can be estimated by the registration of the DSM and multiview range images obtained at the vehicle. Registration of the DSM and range images yields the 3D transformation from the coordinates of the range sensor to the reference coordinates of the DSM. To estimate the vehicle position, we first register a range image to the DSM coarsely and then refine the result. For coarse registration, we employ a fast random sample matching method. After the initial position is estimated and refined, all subsequent range images are registered by applying a pair-wise registration technique between range images. To reduce the accumulation error of pair-wise registration, we periodically refine the registration between range images and the DSM. Virtual environment is established to perform several experiments using a virtual vehicle. Range images are created based on the DSM by modeling a real 3D sensor. The vehicle moves along three different path while acquiring range images. Experimental results show that registration error is about under 1.3m in average.

A Study on the Determination of Plane Coordinates Using Single Photo Method (단사진 해석기법을 이용한 평면좌표 결정에 관한 연구)

  • 유복모;박운용;조강연;이용희
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.5 no.2
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    • pp.37-46
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    • 1987
  • The single photo method has a lot of applications in forestry, traffic accident managements, industry, criminal investigation, and in daily life. In this study a new single photo method was developed by classifying into the Space resection method and the 2 Dimensional Perspective Transformation method. Metric and nonmetric cameras were used to analyse the accuracy by means of single photo method, and the errors in coordinates and lengths were studied by changing the number and arrangement of control points to obtain the optimum condition for the single photo method. The influence of number and arrangement of control points on the accuracy was relatively small in case of the Metric WILD P31 and ASAHI PENTAX 6$\times$7 cameras, where as for errors it was a major factor in the Non-metric Nikon FM2. To overcome these defects, at least 6 control points should be used for the errors to be convergent and they should be distributed evenly over the surveying area. It was found that accuracy increased as the object to be photographed was placed in the perpendicular direction to the axis of camera.

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The Mechanical Analysis of the Hand spring forward and Salto forward straight with 3/2 Turn on the Vault (도마 손 짚고 몸펴 앞 공중 돌아 540도 비틀기의 운동역학적 분석)

  • Yeo, Hong-Chul;Ryu, Jae-Kyun
    • Korean Journal of Applied Biomechanics
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    • v.14 no.1
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    • pp.13-26
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    • 2004
  • The purpose of this study was to investigate the differences of the kinematical and the kinetical factors that calculated from preflight to preflight of salto forward straight 3/2 turn motion between skillers and less-skillers. four S-VHS video cameras operating at 60Hz were used to record the performances. Five elite male gymnasts were participated in this study as subjects. Three-dimensional coordinates of 21 body landmarks during each trial were collected using a Direct Linear Transformation method. The raw 3-D coordinates of the 21 body landmarks were smoothed using a second order lowpass, recursive Butterworth digital filter and a cutoff frequency of 10Hz. Load cells attached on the beneath of a board were used to attain the kinetic variables. It was found that the more angular momentum in the longitudinal axis, the less vertical velocity and these angular momentum effected the height of peak in the preflight. Also, it was revealed that the larger angular momentum in the medio-lateral axis was rather than it in the longitudinal axis to increase vertical height and rotation force of the body. For the reaction force of springboard, the vertical and the horizontal reaction force were 16.52BW and 3.45BW, respectively. It was found that the higher value of the vertical reaction force induced the faster vertical velocity and the higher an ar momentum. of the whole body center of gravity.

A Landmark Based Localization System using a Kinect Sensor (키넥트 센서를 이용한 인공표식 기반의 위치결정 시스템)

  • Park, Kwiwoo;Chae, JeongGeun;Moon, Sang-Ho;Park, Chansik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.1
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    • pp.99-107
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    • 2014
  • In this paper, a landmark based localization system using a Kinect sensor is proposed and evaluated with the implemented system for precise and autonomous navigation of low cost robots. The proposed localization method finds the positions of landmark on the image plane and the depth value using color and depth images. The coordinates transforms are defined using the depth value. Using coordinate transformation, the position in the image plane is transformed to the position in the body frame. The ranges between the landmarks and the Kinect sensor are the norm of the landmark positions in body frame. The Kinect sensor position is computed using the tri-lateral whose inputs are the ranges and the known landmark positions. In addition, a new matching method using the pin hole model is proposed to reduce the mismatch between depth and color images. Furthermore, a height error compensation method using the relationship between the body frame and real world coordinates is proposed to reduce the effect of wrong leveling. The error analysis are also given to find out the effect of focal length, principal point and depth value to the range. The experiments using 2D bar code with the implemented system show that the position with less than 3cm error is obtained in enclosed space($3,500mm{\times}3,000mm{\times}2,500mm$).

A Study on the Image-Based 3D Modeling Using Calibrated Stereo Camera (스테레오 보정 카메라를 이용한 영상 기반 3차원 모델링에 관한 연구)

  • 김효성;남기곤;주재흠;이철헌;설성욱
    • Journal of the Institute of Convergence Signal Processing
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    • v.4 no.3
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    • pp.27-33
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    • 2003
  • The image-based 3D modeling is the technique of generating a 3D graphic model from images acquired using cameras. It is being researched as an alternative technique for the expensive 3D scanner. In this paper, we propose the image-based, 3D modeling system using calibrated stereo cameras. The proposed algorithm for rendering, 3D model consists of three steps, camera calibration, 3D reconstruction, and 3D registration step. In the camera calibration step, we estimate the camera matrix for the image aquisition camera. In the 3D reconstruction step, we calculate 3D coordinates using triangulation from corresponding points of the stereo image. In the 3D registration step, we estimate the transformation matrix that transforms individually reconstructed 3D coordinates to the reference coordinate to render the single 3D model. As shown the result, we generated relatively accurate 3D model.

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Designs of Pipe Fitting with Three Dimensional Measurement and Kinematic Constrained Equations (파이프 체결을 위한 3차원 측정 및 기구적 구속조건 기반의 설계 방식)

  • Yang, Jeong-Yean
    • The Journal of the Korea Contents Association
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    • v.22 no.3
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    • pp.54-61
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    • 2022
  • Ship is a huge system including a variety of pipe arrangements. Pipes are installed according to the design layout, however the end poistion of pipes are not well matched owing to its measurement and construction errors. In this situation, the customized pipe fitting is frequently designed to connect with both pipes, the position of which are manually measured. This paper focused that these two coordinates are measured by point cloud from RGBD sensor and the relative transformation induced by positional and orientational differences is calculated by inverse kinematics in robotics theory. Therefore, the result applies for the methodology of the pipe connection design. The pipe coordinate that is estimated by the matching and the probabilistic RANSAC method will be verified by experiments. The kinematic design parameters are computationally calculated by using the minimum degree of freedom that connects both pipe coordinates.