• Title/Summary/Keyword: rational points

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CLASSIFICATION OF ORDER SIXTEEN NON-SYMPLECTIC AUTOMORPHISMS ON K3 SURFACES

  • Tabbaa, Dima Al;Sarti, Alessandra;Taki, Shingo
    • Journal of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1237-1260
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    • 2016
  • In the paper we classify complex K3 surfaces with non-symplectic automorphism of order 16 in full generality. We show that the fixed locus contains only rational curves and points and we completely classify the seven possible configurations. If the Picard group has rank 6, there are two possibilities and if its rank is 14, there are five possibilities. In particular if the action of the automorphism is trivial on the Picard group, then we show that its rank is six.

Relative RPCs Bias-compensation for Satellite Stereo Images Processing (고해상도 입체 위성영상 처리를 위한 무기준점 기반 상호표정)

  • Oh, Jae Hong;Lee, Chang No
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.36 no.4
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    • pp.287-293
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    • 2018
  • It is prerequisite to generate epipolar resampled images by reducing the y-parallax for accurate and efficient processing of satellite stereo images. Minimizing y-parallax requires the accurate sensor modeling that is carried out with ground control points. However, the approach is not feasible over inaccessible areas where control points cannot be easily acquired. For the case, a relative orientation can be utilized only with conjugate points, but its accuracy for satellite sensor should be studied because the sensor has different geometry compared to well-known frame type cameras. Therefore, we carried out the bias-compensation of RPCs (Rational Polynomial Coefficients) without any ground control points to study its precision and effects on the y-parallax in epipolar resampled images. The conjugate points were generated with stereo image matching with outlier removals. RPCs compensation was performed based on the affine and polynomial models. We analyzed the reprojection error of the compensated RPCs and the y-parallax in the resampled images. Experimental result showed one-pixel level of y-parallax for Kompsat-3 stereo data.

The Legal Issues and Improvements Surrounding Wages of Foreign Workers (외국인근로자의 임금을 둘러싼 법적 문제점과 개선방안)

  • Noh, Jae-Chul;Ko, Zoon-Ki
    • The Journal of the Korea Contents Association
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    • v.14 no.4
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    • pp.135-147
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    • 2014
  • The wages of migrant workers about the rational discrimination and equal treatment have been treated partially. Foreign workers are also discussed in terms of the productivity and rational discrimination, but it is very limited. The Business community has been persisting that the minimum wage system for foreign workers should be excluded. Unlike local workers, migrant workers are relatively in that position with limited work place, a limited period of time to provide labor for the purpose of wage, in that points, the gap of the reality and the laws surrounding wages can be identified. This is expressed the conflicts and distress between employers and workers. Meanwhile, wages and equal treatment on the part of the study have been discussed, but it is hard to be organized clearly. Be related to this study, it will have a limitation. In this paper, since the employment permit system was enforced, the status of wages and distress and the factor of conflicts between the employer and the foreign worker examine and suggest the improvement plan for the law regarding wage.

Shape Design Sensitivity Analysis Using Isogeometric Approach (등기하 해석법을 이용한 설계 민감도 해석)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.339-345
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    • 2007
  • In this paper, a variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions for response analysis are generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Furthermore, the solution space for the response analysis can be represented in terms of the same functions to represent the geometry, which enables to provide a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling and analyze arbitrarily shaped structures without re-meshing. In this paper, a continuum-based adjoint sensitivity analysis method using the isogeometric approach is extensively derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of geometry In the isogeometric analysis, however, the geometric properties are already embedded in the B-spline basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. Through some numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

On Constructing NURBS Surface Model from Scattered and Unorganized 3-D Range Data (정렬되지 않은 3차원 거리 데이터로부터의 NURBS 곡면 모델 생성 기법)

  • Park, In-Kyu;Yun, Il-Dong;Lee, Sang-Uk
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.37 no.3
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    • pp.17-30
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    • 2000
  • In this paper, we propose an efficient algorithm to produce 3-D surface model from a set of range data, based on NURBS (Non-Uniform Rational B-Splines) surface fitting technique. It is assumed that the range data is initially unorganized and scattered 3-D points, while their connectivity is also unknown. The proposed algorithm consists of three steps: initial model approximation, hierarchical representation, and construction of the NURBS patch network. The mitral model is approximated by polyhedral and triangular model using K-means clustering technique Then, the initial model is represented by hierarchically decomposed tree structure. Based on this, $G^1$ continuous NURBS patch network is constructed efficiently. The computational complexity as well as the modeling error is much reduced by means of hierarchical decomposition and precise approximation of the NURBS control mesh Experimental results show that the initial model as well as the NURBS patch network are constructed automatically, while the modeling error is observed to be negligible.

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A Study on VMD for Emotional Clothing Shops (감성의류매장에 관한 VMD 연구)

  • Kang, Kyung-Ae;Kim, Sun-Mi
    • Journal of the Korea Fashion and Costume Design Association
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    • v.9 no.3
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    • pp.133-149
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    • 2007
  • Amid a wave of informatization, the world is allowing diverse exchanges and cooperations in the global village to be promoted. And, a change in the life environment and the consumption pattern allows the key word in distribution revolution called 'online' and 'emotion' to be recalled. As the emotion is being positioned as the trend of the new era, this study has its significance in that even the fashion industry desperately requires the emotion marketing aiming at the artistic value and practicality in fashion and the creation in value-added, and requires the development and utilization plan for diverse VMD programs on the rational dress shop, like the successful case of the trendy shop such as America's large bookstore 'Barnes & Noble.' Accordingly, the purpose of this study is to design and suggest the virtually trendy dress shop as one plan of utilizing VMD, by examining about the fashion business environment and about 'emotion trend' according to the consumer purchase needs, and through researching into the cases of the trendy dress shops with the emotion marketing. The virtual trendy dress shop 'Muse,' which was proposed as its research result, was designed with having the main concept as urban naturalism, which points to the urban and sophisticated coordination, and to the simple personality and rational value, as one method of utilizing VMD in the differentiated dress shop. And, it is desired to be performed the researches on the development and the utilization plan for diverse VMD programs in the dress shop down the road.

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Multi-material topology optimization for crack problems based on eXtended isogeometric analysis

  • Banh, Thanh T.;Lee, Jaehong;Kang, Joowon;Lee, Dongkyu
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.663-678
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    • 2020
  • This paper proposes a novel topology optimization method generating multiple materials for external linear plane crack structures based on the combination of IsoGeometric Analysis (IGA) and eXtended Finite Element Method (X-FEM). A so-called eXtended IsoGeometric Analysis (X-IGA) is derived for a mechanical description of a strong discontinuity state's continuous boundaries through the inherited special properties of X-FEM. In X-IGA, control points and patches play the same role with nodes and sub-domains in the finite element method. While being similar to X-FEM, enrichment functions are added to finite element approximation without any mesh generation. The geometry of structures based on basic functions of Non-Uniform Rational B-Splines (NURBS) provides accurate and reliable results. Moreover, the basis function to define the geometry becomes a systematic p-refinement to control the field approximation order without altering the geometry or its parameterization. The accuracy of analytical solutions of X-IGA for the crack problem, which is superior to a conventional X-FEM, guarantees the reliability of the optimal multi-material retrofitting against external cracks through using topology optimization. Topology optimization is applied to the minimal compliance design of two-dimensional plane linear cracked structures retrofitted by multiple distinct materials to prevent the propagation of the present crack pattern. The alternating active-phase algorithm with optimality criteria-based algorithms is employed to update design variables of element densities. Numerical results under different lengths, positions, and angles of given cracks verify the proposed method's efficiency and feasibility in using X-IGA compared to a conventional X-FEM.

Positioning Accuracy Analysis of KOMPSAT-3 Satellite Imagery by RPC Adjustment (RPC 조정에 의한 KOMPSAT-3 위성영상의 위치결정 정확도 분석)

  • Lee, Hyoseong;Seo, Doochun;Ahn, Kiweon;Jeong, Dongjang
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.31 no.6_1
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    • pp.503-509
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    • 2013
  • The KOMPSAT-3 (Korea Multi-Purpose Satellite-3), was launched on May 18, 2012, is an optical high-resolution observation mission of the Korea Aerospace Research Institute and provides RPC(Rational Polynomial Coefficient) for ground coordinate determination. It is however need to adjust because RPC absorbs effects of interior-exterior orientation errors. In this study, to obtain the suitable adjustment parameters of the vendor-provided RPC of the KOMPSAT-3 images, six types of adjustment models were implemented. As results, the errors of two and six adjustment parameters differed approximately 0.1m. We thus propose the two parameters model, the number of control points are required the least, to adjust the KOMPSAT-3 R PC. According to the increasing the number of control points, RPC adjustment was performed. The proposed model with a control point particularly did not exceed a maximum error 3m. As demonstrated in this paper, the two parameters model can be applied in RPC adjustment of KOMPSAT-3 stereo image.

Feasibility Study on Producing 1:25,000 Digital Map Using KOMPSAT-5 SAR Stereo Images (KOMPSAT-5 레이더 위성 스테레오 영상을 이용한 1:25,000 수치지형도제작 가능성 연구)

  • Lee, Yong-Suk;Jung, Hyung-Sup
    • Korean Journal of Remote Sensing
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    • v.34 no.6_3
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    • pp.1329-1350
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    • 2018
  • There have been many applications to observe Earth using synthetic aperture radar (SAR) since it could acquire Earth observation data without reference to weathers or local times. However researches about digital map generation using SAR have hardly been performed due to complex raw data processing. In this study, we suggested feasibility of producing digital map using SAR stereo images. We collected two sets, which include an ascending and a descending orbit acquisitions respectively, of KOMPSAT-5 stereo dataset. In order to suggest the feasibility of digital map generation from SAR stereo images, we performed 1) rational polynomial coefficient transformation from radar geometry, 2) digital resititution using KOMPSAT-5 stereo images, and 3) validation using digital-map-derived reference points and check points. As the results of two models, root mean squared errors of XY and Z direction were less than 1m for each model. We discussed that KOMPSAT-5 stereo image could generated 1:25,000 digital map which meets a standard of the digital map. The proposed results would contribute to generate and update digital maps for inaccessible areas and wherever weather conditions are unstable such as North Korea or Polar region.

RPC Correction of KOMPSAT-3A Satellite Image through Automatic Matching Point Extraction Using Unmanned AerialVehicle Imagery (무인항공기 영상 활용 자동 정합점 추출을 통한 KOMPSAT-3A 위성영상의 RPC 보정)

  • Park, Jueon;Kim, Taeheon;Lee, Changhui;Han, Youkyung
    • Korean Journal of Remote Sensing
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    • v.37 no.5_1
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    • pp.1135-1147
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    • 2021
  • In order to geometrically correct high-resolution satellite imagery, the sensor modeling process that restores the geometric relationship between the satellite sensor and the ground surface at the image acquisition time is required. In general, high-resolution satellites provide RPC (Rational Polynomial Coefficient) information, but the vendor-provided RPC includes geometric distortion caused by the position and orientation of the satellite sensor. GCP (Ground Control Point) is generally used to correct the RPC errors. The representative method of acquiring GCP is field survey to obtain accurate ground coordinates. However, it is difficult to find the GCP in the satellite image due to the quality of the image, land cover change, relief displacement, etc. By using image maps acquired from various sensors as reference data, it is possible to automate the collection of GCP through the image matching algorithm. In this study, the RPC of KOMPSAT-3A satellite image was corrected through the extracted matching point using the UAV (Unmanned Aerial Vehichle) imagery. We propose a pre-porocessing method for the extraction of matching points between the UAV imagery and KOMPSAT-3A satellite image. To this end, the characteristics of matching points extracted by independently applying the SURF (Speeded-Up Robust Features) and the phase correlation, which are representative feature-based matching method and area-based matching method, respectively, were compared. The RPC adjustment parameters were calculated using the matching points extracted through each algorithm. In order to verify the performance and usability of the proposed method, it was compared with the GCP-based RPC correction result. The GCP-based method showed an improvement of correction accuracy by 2.14 pixels for the sample and 5.43 pixelsfor the line compared to the vendor-provided RPC. In the proposed method using SURF and phase correlation methods, the accuracy of sample was improved by 0.83 pixels and 1.49 pixels, and that of line wasimproved by 4.81 pixels and 5.19 pixels, respectively, compared to the vendor-provided RPC. Through the experimental results, the proposed method using the UAV imagery presented the possibility as an alternative to the GCP-based method for the RPC correction.