• Title/Summary/Keyword: Affine Model

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Update of Digital Map by using The Terrestrial LiDAR Data and Modified RANSAC (수정된 RANSAC 알고리즘과 지상라이다 데이터를 이용한 수치지도 건물레이어 갱신)

  • Kim, Sang Min;Jung, Jae Hoon;Lee, Jae Bin;Heo, Joon;Hong, Sung Chul;Cho, Hyoung Sig
    • Journal of Korean Society for Geospatial Information Science
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    • v.22 no.4
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    • pp.3-11
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    • 2014
  • Recently, rapid urbanization has necessitated continuous updates in digital map to provide the latest and accurate information for users. However, conventional aerial photogrammetry has some restrictions on periodic updates of small areas due to high cost, and as-built drawing also brings some problems with maintaining quality. Alternatively, this paper proposes a scheme for efficient and accurate update of digital map using point cloud data acquired by Terrestrial Laser Scanner (TLS). Initially, from the whole point cloud data, the building sides are extracted and projected onto a 2D image to trace out the 2D building footprints. In order to register the footprint extractions on the digital map, 2D Affine model is used. For Affine parameter estimation, the centroids of each footprint groups are randomly chosen and matched by means of a modified RANSAC algorithm. Based on proposed algorithm, the experimental results showed that it is possible to renew digital map using building footprint extracted from TLS data.

ON UNIVERSAL COVERINGS OF LIE TORI

  • Khalili, Valiollah
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1199-1211
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    • 2012
  • In this paper we give an introduction to the theory of universal central extensions of perfect Lie algebras. In particular, we will provide a model for the universal coverings of Lie tori and we show that automorphisms and derivations lift to the universal coverings. We also prove that the universal covering of a Lie ${\Lambda}$-torus of type ${\Delta}$ is again a Lie ${\Lambda}$-torus of type ${\Delta}$.

Controller synthesis procedure for the TS fuzzy systems with affine local model: A study focusing on the inverted pendulum control problem (애파인 국소모델을 갖는 TS퍼지 시스템을 위한 제어기 설계방안: 도립진자 문제를 중심으로 한 고찰)

  • 곽기호;박주영
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.55-58
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    • 2000
  • 본 논문은 애파인 국소모델을 갖는 TS 퍼지 모델로 표현된 비선형 시스템의 제어에 관하여 다룬다. 여기서 사용하는 TS 퍼지 모델은 실제 모델의 비선형 미분 방정식의 근사로부터 유도된다. 그리고 이 모델을 바탕으로 비례 입력행렬을 가지는 시스템에 대해 안정화시킬 수 있는 TS 퍼지 제어기를 구한다. 본 논문의 설계 과정은 도립진자 제어를 통해 검증한다.

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Development of a Polynomial Correction Program for Accuracy Improvement of the Geopositioning of High Resolution Imagery (고해상도 위성영상의 지상위치 정확도 개선을 위한 다항식 보정 프로그램의 개발)

  • Lee, Jin-Duk;So, Jae-Kyeong
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2007.04a
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    • pp.135-140
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    • 2007
  • Due to the expensiveness of IKONOS Pro and Precision Products, it is attractive to use the low-cost IKONOS Geo Product with vendor-provided RPCs to produce highly accurate mapping products. The imaging geometry of IKONOS high-resolution imagery is described by RFs instead of rigorous sensor models. This paper presents four different models defined respectively in object space and image space to improve the accuracies of the RF-derived ground coordinates. The four models include the offset model, the scale & offset model, the affine model and the 2nd-order polynomial model. Different configurations of ground control points (GCPs) are carefully examined to evaluate the effect of the GCPs arrangement on the accuracy of ground coordinates. The experiment also evaluates the effect of different cartographic parameters such as the number location, and accuracy of GCPs on the accuracy of geopositioning.

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DEFAULTABLE BOND PRICING USING REGIME SWITCHING INTENSITY MODEL

  • Goutte, Stephane;Ngoupeyou, Armand
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.711-732
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    • 2013
  • In this paper, we are interested in finding explicit numerical formulas to evaluate defaultable bonds prices of firms. For this purpose, we use a default intensity whose values depend on the credit rating of these firms. Each credit rating corresponds to a state of the default intensity. Then, this regime switches as soon as one of the credit rating of a firm also changes. Moreover, this regime switching default intensity model allows us to capture well some market features or economics behaviors. Thus, we obtain two explicit different formulas to evaluate the conditional Laplace transform of a regime switching Cox Ingersoll Ross model. One using the property of semi-affine of the model and the other one using analytic approximation. We conclude by giving some numerical illustrations of these formulas and real data estimation results.

DIRECT EPIPOLAR IMAGE GENERATION FROM IKONOS STEREO IMAGERY BASED ON RPC AND PARALLEL PROJECTION MODEL

  • Oh, Jae-Hong;Kim, Kyung-Ok
    • Proceedings of the KSRS Conference
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    • v.2
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    • pp.860-863
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    • 2006
  • Epipolar images have to be generated to stereo display aerial images or satellite images. Pushbroom sensor is used to acquire high resolution satellite images. These satellite images have curvilinear epipolar lines unlike the epipolar lines of frame images, which are straight lines. The aforementioned fact makes it difficult to generate epipolar images for pushbroom satellite images. If we assume a linear transition of the sensor having constant speed and attitude during image acquisition, we can generate epipolar images based on parallel projection model (2D Affine model). Recent high resolution images are provided with RPC values so that we can exploit these values to generate epipolar images without using ground control points and tie point. This paper provides a procedure based on the parallel projection model for generating epipolar images directly from a stereo IKONOS images, and experimental results.

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Direct Epipolar Image Generation From IKONOS Stereo Imagery Based On RPC and Parallel Projection Model

  • Oh, Jae-Hong;Shin, Sung-Woong;Kim, Kyung-Ok
    • Korean Journal of Remote Sensing
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    • v.22 no.5
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    • pp.451-456
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    • 2006
  • Epipolar images have to be generated to stereo display aerial images or satellite images. Pushbroom sensor is used to acquire high resolution satellite images. These satellite images have curvilinear epipolar lines unlike the epipolar lines of frame images, which are straight lines. The aforementioned fact makes it difficult to generate epipolar images for pushbroom satellite images. If we assume a linear transition of the sensor having constant speed and attitude during image acquisition, we can generate epipolar images based on parallel projection model (20 Affine model). Recent high resolution images are provided with RPC values so that we can exploit these values to generate epipolar images without using ground control points and tie point. This paper provides a procedure based on the parallel projection model for generating epipolar images directly from a stereo IKONOS images, and experimental results.

Conformational changes of short, discrete Rouse chain during creep and recovery processes

  • Watanabe, Hiroshi;Inoue, Tadashi
    • Korea-Australia Rheology Journal
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    • v.16 no.2
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    • pp.91-99
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    • 2004
  • For the Rouse chain composed of infinite number of beads (continuous limit), conformational changes during the creep and creep recovery processes was recently analyzed to reveal the interplay among all Rouse eigenmodes under the constant stress condition (Watanabe and Inoue, Rheol. Acta, 2004). For completeness of the analysis of the Rouse model, this paper analyzes the conformational changes of the discrete Rouse chain having a finite number of beads (N = 3 and 4). The analysis demonstrates that the chain of finite N exhibits the affine deformation on imposition/removal of the stress and this deformation gives the instantaneous component of the recoverable compliance, $J_{R}$(0) = 1/(N-l)v $k_{B}$T with v and $k_{B}$ being the chain number density and Boltzmann constant, respectively. (This component vanishes for N\longrightarrow$\infty$.) For N = 2, it is known that the chain has only one internal eigenmode so that the affinely deformed conformation at the onset of the creep process does not change with time t and $J_{R}$(t) coincides with $J_{R}$(0) at any t (no transient increase of $J_{R}$(t)). However, for N$\geq$3, the chain has N-l eigenmodes (N-l$\geq$2), and this coincidence vanishes. For this case, the chain conformation changes with t to the non-affine conformation under steady flow, and this change is governed by the interplay of the Rouse eigenmodes (under the constant stress condition). This conformational change gives the non-instantaneous increase of $J_{R}$(t) with t, as also noted in the continuous limit (N\longrightarrow$\infty$).X>).TEX>).X>).

Geometric Accuracy of KOMPSAT-2 PAN Data According to Sensor Modeling (센서모델링 특성에 따른 KOMPSAT-2 PAN 영상의 정확도)

  • Seo, Doo-Chun;Yang, Ji-Yeon
    • Aerospace Engineering and Technology
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    • v.8 no.2
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    • pp.75-82
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    • 2009
  • In order to help general users to analyze the KOMPSAT-2 data, an application of sensor modeling to commercial software was explained in this document. The sensor modeling is a basic step to extract the quantity and quality information from KOMPSAT-2 data. First, we introduced the contents and type of ancillary data offered with KOMPSAT-2 PAN image data, and explained how to use it with commercial software. And then, we applied the polynomial-base and refine RFM sensor modeling with ground control points. In the polynomial-base sensor modeling, the accuracy which is average RMSE of check points is highest when the satellite position was calculated by type of 1st order function and the satellite attitude was calculated by type of 1st order function for (Y axis), (Z axis) or constant for (X axis), (Y axis), (Z axis) in perspective center position and satellite attitude parameters. As a result of refine RFM sensor modeling, the accuracy is less than 1 pixel when we applied affine model..

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A Hierarchical Image Mosaicing using Camera and Object Parameters for Efficient Video Database Construction (효율적인 비디오 데이터베이스 구축을 위해 카메라와 객체 파라미터를 이용한 계층형 영상 모자이크)

  • 신성윤;이양원
    • Journal of Korea Multimedia Society
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    • v.5 no.2
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    • pp.167-175
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    • 2002
  • Image Mosaicing creates a new image by composing video frames or still images that are related, and performed by arrangement, composition and redundancy analysis of images. This paper proposes a hierarchical image mosaicing system using camera and object parameters far efficient video database construction. A tree-based image mosiacing has implemented for high-speed computation time and for construction of static and dynamic image mosaic. Camera parameters are measured by using least sum of squared difference and affine model. Dynamic object detection algorithm has proposed for extracting dynamic objects. For object extraction, difference image, macro block, region splitting and 4-split detection methods are proposed and used. Also, a dynamic positioning method is used for presenting dynamic objects and a blurring method is used for creating flexible mosaic image.

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