• Title/Summary/Keyword: sparse reconstruction

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The Measurement of the Volume and Surface Area of an Object based on Polyhedral Method (다면체기법에 의한 입체의 최적 체적 및 표면적 측정)

  • Woo, Kwang-Bang;Chin, Young-Min;Park, Sang-On
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.311-315
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    • 1987
  • In this paper an efficient algorithm to estimate the volume and surface area and the reconstruction algorithm for 3-dimensional graphics are presented. The graph theory is used to estimate the optimal quantitative factors. To improve the computing efficiency, the algorithm to get proper contour points is performed by applying several tolerances. The search and the given arc cost is limited according to the change of curvature of the cross-sectional contour. For mathematical model, these algorithms for volume estimation based on polyhedral approximation are applied to the selected optimal surface. The results show that the values of the volume and surface area for tolerances 1.0005, 1.001 and 1.002 approximate to values for tolerances 1.000 resulting in small errors. The reconstructed three-dimensional images are sparse and consist of larger triangular tiles between two cross sections as tolerance is increasing.

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High Resolution Time Resolved Contrast Enhanced MR Angiography Using k-t FOCUSS (k-t FOCUSS 알고리듬을 이용한 고분해능 4-D MR 혈관 조영 영상 기법)

  • Jung, Hong;Kim, Eung-Yeop;Ye, Jong-Chul
    • Investigative Magnetic Resonance Imaging
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    • v.14 no.1
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    • pp.10-20
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    • 2010
  • Purpose : Recently, the Recon Challenge at the 2009 ISMRM workshop on Data Sampling and Image Reconstruction at Sedona, Arizona was held to evaluate feasibility of highly accelerated acquisition of time resolved contrast enhanced MR angiography. This paper provides the step-by-step description of the winning results of k-t FOCUSS in this competition. Materials and Methods : In previous works, we proved that k-t FOCUSS algorithm successfully solves the compressed sensing problem even for less sparse cardiac cine applications. Therefore, using k-t FOCUSS, very accurate time resolved contrast enhanced MR angiography can be reconstructed. Accelerated radial trajectory data were synthetized from X-ray cerebral angiography images and provided by the organizing committee, and radiologists double blindly evaluated each reconstruction result with respect to the ground-truth data. Results : The reconstructed results at various acceleration factors demonstrate that each components of compressed sensing, such as sparsifying transform and incoherent sampling patterns, etc can have profound effects on the final reconstruction results. Conclusion : From reconstructed results, we see that the compressed sensing dynamic MR imaging algorithm, k-t FOCUSS enables high resolution time resolved contrast enhanced MR angiography.

Reconstruction of the Paleo-environment during the Upper Pleistocene at Seongjeong-dong, Cheonan-si, inferred from Pollen Analysis (천안 성정동 지역의 화분분석 결과를 통한 Pleistocene 후기 고환경복원)

  • Kim, Hye-Ryung;Yoon, Soon-Ock;Hwang, Sang-Ill;Lee, Byeong-Cheol
    • Journal of the Korean Geographical Society
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    • v.47 no.2
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    • pp.179-192
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    • 2012
  • Paleo-environments such as vegetation and climate changes from the Last Glacial Maximum to the Holocene are reconstructed by the results of pollen analysis in the floodplain of Cheonan River, Seongjeong-dong, Cheonan-si, Chungnam Province. In the pollen zone I (approximately 23,000-15,000 yr BP), the area studied was covered by the extensive grassland with sparse wood. The climatic conditions were very cold, but it might not be so severe compared to the intermontane area in the Yeongnam area. This zone corresponds to the 'very cold' stage of Woldstedt(1962) and Yoon and Jo(1996). No pollen horizon(pollen zone II) deposited between approximately 15,000 and 10,000 yr BP corresponds to the transitional stage from the Last Glacial Maximum to the Holocene. The horizon consists of the dark gray brown sand deposits different from the other horizons dominated by the silty deposits and these sedimentary properties may be attributed to the dramatic climate changes between the very cold stage and warm stage. The pollen zone III formed between approximately 10,000 and 6,000 yr BP shows clearly different pollen compositions indicative of temperate climate conditions.

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Pulse Sequence based MR Images for Compressed Sensing Algorithm Applications (펄스열을 이용한 MR 영상의 Compressed Sensing 알고리즘 적용)

  • Gho, Sung-Mi;Choi, Na-Rae;Kim, Dong-Hyun
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.46 no.5
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    • pp.1-7
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    • 2009
  • In recent years, compressed sensing (CS) algorithm has been studied in various research areas including medical imaging. To use the CS algorithm, the signal that is to be reconstructed needs to have the property of sparsity But, most medical images generally don't have this property. One method to overcome this problem is by using sparsifying transform. However, MR imaging, compared to other medical imaging modality, has the unique property that by using appropriate image acquisition pulse sequences, the image contrast can be modified. In this paper, we propose the possibility of applying the CS algorithm with non-sparsifying transform to the pulse sequence modified MR images and improve the reconstruction performance of the CS algorithm by using an appropriate sparsifying transform. We verified the proposed contents by computer simulation using Shepp-Logan phantom and in vivo data.

Performance Analysis of Noisy Group Testing for Diagnosis of COVID-19 Infection (코로나19 진단을 위한 잡음 그룹검사의 성능분석)

  • Seong, Jin-Taek
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.2
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    • pp.117-123
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    • 2022
  • Currently the number of COVID-19 cases is increasing rapidly around the world. One way to restrict the spread of COVID-19 infection is to find confirmed cases using rapid diagnosis. The previously proposed group testing problem assumed without measurement noise, but recently, false positive and false negative cases have occurred during COVID-19 testing. In this paper, we define the noisy group testing problem and analyze how much measurement noise affects the performance. In this paper, we show that the group testing system should be designed to be less susceptible to measurement noise when conducting group testing with a low positive rate of COVID-19 infection. And compared with other developed reconstruction algorithms, our proposed algorithm shows superior performance in noisy group testing.