• 제목/요약/키워드: continuous self mapping

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Center Array-Sequencing 위상펼침 기법의 MR 온도영상 적용에 관한 기초연구 (Preliminary Study on the MR Temperature Mapping using Center Array-Sequencing Phase Unwrapping Algorithm)

  • ;김태형;천송이;한용희;최기승;이광식;전재량;은충기;문치웅
    • Investigative Magnetic Resonance Imaging
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    • 제12권2호
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    • pp.131-141
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    • 2008
  • 목적: 물체 내부의 온도를 비침습적으로 측정할 수 있는 양성자 공명 주파수 이동에 의한 MR 온도영상의 재구성에 center array-sequencing 위상펼침(PU) 기법을 적용시켜 그 성능 및 유용성을 평가하고자 하였다. 대상 및 방법: MR 온도 영상에 앞서 잡음 수준이 다른 타원형 팬텀들을 컴퓨터 모의 실험으로 제작하고 제안된 PU방 법을 적용시켜 잡음에 대한 성능을 평가하였다. MR 실험은 PU 실험과 이를 이용한 온도분포영상획득 실험으로 구분하여 수행되었다. 1.5T MR 영상장치에서 무릎코일과 $T2^*$ 경사자장에코 펄스열을 이용하여 MR 영상을 얻었다. 물통, 오렌지, 아가젤 등의 팬텀을 실험 대상으로 하였고 자체 제작된 온수펌프 장치로 팬텀의 온도를 조절하였다. T 형 열전쌍 온도측정장치로 팬텀 온도를 측정하고 MR 온도영상 결과와 비교하였다. 획득된 MR영상의 위상분포는 제안된 PU방법으로 위상을 편 후 온도분포 영상을 재구성하였다. 가열 전 후의 온도변화와 MR 영상의 위상변화 관계를 이용하여 아가젤 팬텀 내의 MR온도분포 영상을 구하였다. 결과: 제안된 center array-sequencing PU 알고리즘을 이용하여 여러 팬텀에 대한 MR 위상영상의 접힘 현상을 기존 방법보다 간편하고 빠르게 제거할 수 있었고 이를 이용하여 MR 온도영상을 획득할 수 있었다. 결론: 본 연구는 제안된 center array-sequencing 위상펼침 방법이 잡음에 강하고 처리 속도가 빠를 뿐만 아니라 양성자 공명 주파수 이동의 성질을 이용한 MR 온도 영상 획득에 성공적으로 적용될 수 있음을 보였다.

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POSITIVE SOLUTIONS FOR A NONLINEAR MATRIX EQUATION USING FIXED POINT RESULTS IN EXTENDED BRANCIARI b-DISTANCE SPACES

  • Reena, Jain;Hemant Kumar, Nashine;J.K., Kim
    • Nonlinear Functional Analysis and Applications
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    • 제27권4호
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    • pp.709-730
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    • 2022
  • We consider the nonlinear matrix equation (NMEs) of the form 𝓤 = 𝓠 + Σki=1 𝓐*iℏ(𝓤)𝓐i, where 𝓠 is n × n Hermitian positive definite matrices (HPDS), 𝓐1, 𝓐2, . . . , 𝓐m are n × n matrices, and ~ is a nonlinear self-mappings of the set of all Hermitian matrices which are continuous in the trace norm. We discuss a sufficient condition ensuring the existence of a unique positive definite solution of a given NME and demonstrate this sufficient condition for a NME 𝓤 = 𝓠 + 𝓐*1(𝓤2/900)𝓐1 + 𝓐*2(𝓤2/900)𝓐2 + 𝓐*3(𝓤2/900)𝓐3. In order to do this, we define 𝓕𝓖w-contractive conditions and derive fixed points results based on aforesaid contractive condition for a mapping in extended Branciari b-metric distance followed by two suitable examples. In addition, we introduce weak well-posed property, weak limit shadowing property and generalized Ulam-Hyers stability in the underlying space and related results.

다차원척도법을 이용한 중학교 보건교육 교과영역 구축 및 속성 분석 (Health Education Curriculum Constructs and Dimensional Properties for Korean Middle School Students in Multidimensional Scaling Analysis)

  • 박경옥
    • 한국학교ㆍ지역보건교육학회지
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    • 제7권
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    • pp.1-17
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    • 2006
  • Background: School is a primary health education setting for adolescents and the continuous support should be provided to renew school health education curriculum correspondent to cultural changes in Korean society. Objectives: This study was conducted to identify the principals and teachers' health education needs for their students and to analyze their conceptual map for health education curriculum at school. Methods: The sample size of the preliminary study was 321 of the teachers in elementary, middle, and high school, and that of the main study was 355 middle school principals and teachers over the country. The self-administered mailing survey was conducted to collect the available health education topics in the preliminary study, to identify the factor structure of the health education topics and to analyze the conceptual properties on health education with exploratory factor analysis and multidimensional scaling analysis in SPSS 12.0. Results: A total of 21 health education topics were collected from the preliminary survey and 31 topics were, comprehensively, generated for the main survey. In exploratory factor analysis, seven factors were generated in 1.0 or greater Eigen value standard. The seven factors were 'life health promotion,' 'disease prevention and drug control,' 'bulling and aggression prevention,' 'injury and sexual harassment prevention,' human-efficacy and regulation,' 'health protection for adolescence,' and 'alcohol and tobacco control.' The educational need scores were the highest in 'human-efficacy and regulation' and 'injury and sexual harassment prevention.' The two-dimensional cooperates were generated for the 31 health education topics and the two dimensional properties which divided the conceptual space were 'health-safety' for one and 'public/environmental-individual/personal' for the other. That is, middle school principals and teachers primarily, understand the health education curriculum in the sense of 'health vs. safety' and 'public/environmental vs individual/personal.' Conclusions: Health education curriculum and textbook should be developed based on teachers' needs and conditions for health education in school fields. The field-based health education programs or textbook would make more possible problem-solving health education for youth in real school fields.

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Application of Multispectral Remotely Sensed Imagery for the Characterization of Complex Coastal Wetland Ecosystems of southern India: A Special Emphasis on Comparing Soft and Hard Classification Methods

  • Shanmugam, Palanisamy;Ahn, Yu-Hwan;Sanjeevi , Shanmugam
    • 대한원격탐사학회지
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    • 제21권3호
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    • pp.189-211
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    • 2005
  • This paper makes an effort to compare the recently evolved soft classification method based on Linear Spectral Mixture Modeling (LSMM) with the traditional hard classification methods based on Iterative Self-Organizing Data Analysis (ISODATA) and Maximum Likelihood Classification (MLC) algorithms in order to achieve appropriate results for mapping, monitoring and preserving valuable coastal wetland ecosystems of southern India using Indian Remote Sensing Satellite (IRS) 1C/1D LISS-III and Landsat-5 Thematic Mapper image data. ISODATA and MLC methods were attempted on these satellite image data to produce maps of 5, 10, 15 and 20 wetland classes for each of three contrast coastal wetland sites, Pitchavaram, Vedaranniyam and Rameswaram. The accuracy of the derived classes was assessed with the simplest descriptive statistic technique called overall accuracy and a discrete multivariate technique called KAPPA accuracy. ISODATA classification resulted in maps with poor accuracy compared to MLC classification that produced maps with improved accuracy. However, there was a systematic decrease in overall accuracy and KAPPA accuracy, when more number of classes was derived from IRS-1C/1D and Landsat-5 TM imagery by ISODATA and MLC. There were two principal factors for the decreased classification accuracy, namely spectral overlapping/confusion and inadequate spatial resolution of the sensors. Compared to the former, the limited instantaneous field of view (IFOV) of these sensors caused occurrence of number of mixture pixels (mixels) in the image and its effect on the classification process was a major problem to deriving accurate wetland cover types, in spite of the increasing spatial resolution of new generation Earth Observation Sensors (EOS). In order to improve the classification accuracy, a soft classification method based on Linear Spectral Mixture Modeling (LSMM) was described to calculate the spectral mixture and classify IRS-1C/1D LISS-III and Landsat-5 TM Imagery. This method considered number of reflectance end-members that form the scene spectra, followed by the determination of their nature and finally the decomposition of the spectra into their endmembers. To evaluate the LSMM areal estimates, resulted fractional end-members were compared with normalized difference vegetation index (NDVI), ground truth data, as well as those estimates derived from the traditional hard classifier (MLC). The findings revealed that NDVI values and vegetation fractions were positively correlated ($r^2$= 0.96, 0.95 and 0.92 for Rameswaram, Vedaranniyam and Pitchavaram respectively) and NDVI and soil fraction values were negatively correlated ($r^2$ =0.53, 0.39 and 0.13), indicating the reliability of the sub-pixel classification. Comparing with ground truth data, the precision of LSMM for deriving moisture fraction was 92% and 96% for soil fraction. The LSMM in general would seem well suited to locating small wetland habitats which occurred as sub-pixel inclusions, and to representing continuous gradations between different habitat types.