• Korean Journal of Mathematics
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• 제17권4호
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• pp.385-397
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• 2009

We study codes over the polynomial ring ${\mathbb{F}}_q[D]$ and their projections to the finite rings ${\mathbb{F}}_q[D]/(D^m)$ and the weight enumerators of self-dual codes over these rings. We also give the formula for the number of codewords of minimum weight in the projections.

• 대한방사선기술학회지:방사선기술과학
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• 제45권2호
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• pp.117-125
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• 2022

Although stationary inverse-geometry digital tomosynthesis (s-IGDT) is able to reduce motion artifacts, image acquisition time and radiation dose, the image quality of the s-IGDT is degraded due to the truncations arisen in projections. Therefore, the effects of geometric and image acquisition conditions in the s-IGDT should be analyzed for improving the image quality and clinical applicability of the s-IGDT system. In this study, the s-IGDT images were obtained with the various X-ray source arrangement types and the various number of projections. The resolution and noise characteristics of the obtained s-IGDT images were evaluated, and the characteristics were compared with those of the conventional DT images. The s-IGDT system using linear X-ray source arrangement and 40 projections maximized the image characteristics of resolution and noise, and the corresponding system was superior to the conventional DT system in terms of image resolution. In conclusion, we expect that the s-IGDT system can be used for providing medical images in diagnosis.

• Journal of the Korean Wood Science and Technology
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• 제50권4호
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• pp.246-255
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• 2022

The need for non-destructive testing and evaluation of Korean traditional wooden buildings is increasing because of their widespread deterioration. Among all types of deterioration, termite damage in wooden columns is the most difficult to detect with the naked eye because it starts inside the wood, and the initial deterioration is small. X-ray computed tomography (CT) is the best technology to investigate the inner state of wood that has less damage, but applying it to wooden columns between walls is challenging. Therefore, the feasibility of tomosynthesis, which is a method to reconstruct a coronal section of a subject with a few X-ray projections from a limited angle of rotation, was studied as an alternative to CT. Pine (P. densiflora) with three artificial holes was prepared as a specimen to evaluate the quality of reconstructed tomosynthesis images according to the different number of projections. The quality of the tomosynthesis images in the in-focus plane was evaluated using the contrast-to-noise ratios, while a vertical resolution between the images was assessed by determining the artificial spread function. The quality of the tomosynthesis image in the in-focus plane increased as the number of projections increased and then remained constant as the number of projections reached 21 or over. In the case of vertical resolution, there was no significant difference when 21 projections or more were used to reconstruct the images. A distinct difference between coronal section images was found when the distance was more than 10 mm from one plane to another plane.

• Computers and Concrete
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• 제9권6호
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• pp.439-455
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• 2012

The interaction of plan geometry and structural configuration, a determinative factor in the earthquake behavior of buildings, has become a serious issue in the building industry in Turkey due to the poor seismic performance of R/C buildings during the latest earthquake. Consequently, designing new buildings without structural irregularities against earthquake loads is proving to be more significant. This study focuses on the effects of plan geometries on earthquake performances of buildings. In that respect, structural irregularities in the plan are investigated in detail based on the Turkish Earthquake Code (TEC 2007). The study is based on five main parametric models and a total of 40 sub-models that are grouped according to their plan geometries with excessive projections such as L-shaped, H-shaped, T-shaped and U-shaped models. In addition to these, a square model without any projections is also generated. All models are designed to have the same storey gross area but with different number of storeys. Changes in the earthquake behavior of buildings were evaluated according to the number of storeys, the projection ratios and the symmetry conditions of each model. The analysis of each structural irregularity resulted in many findings, which were then assessed. The study demonstrates that the square model delivers the best earthquake performance owing to its regular plan geometry.

• Journal of the Korean Wood Science and Technology
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• 제41권5호
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• pp.385-391
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• 2013

X-ray computed tomography is a very powerful nondestructive technique in safety inspection of historic timber building. But, in field, various testing condition makes it difficult to carry out X-ray CT testing. Limited size in X-ray digital detector is one of the problems. In this study, a pitch pine disk with two holes was used to know how imperfection in X-ray projection affects CT image resolution. Using various number of projections, CT image was reconstructed by filtered back projection method, and then it was investigated how many projection is required to identify the holes in different location. Two artificial holes could be differently detected according to their location in cross section of specimen. One hole in center part of specimen was identified using more than 9 radiographs, but the other one which located in outer part of cross section could not be detected until more than 36 projections were used. Even though there is data missing in outer part of cross section due to limited size of detector, the center part of CT image could be reconstructed well and the resolution of outer part became higher with increase of the number of projections. For field application, the number of projections for CT image reconstruction needs to be decided with consideration of another nondestructive testing and the location of interest.

• Journal of the Korean Data and Information Science Society
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• 제26권4호
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• pp.907-914
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• 2015

저출산으로 인한 학생수의 감소는 교육 행정 정책에 있어서 매우 많은 변화들을 예고하고 있다. 본 연구는 2032년까지 정확한 학생 (인구) 수를 예측하기 위하여 연령 진급률 혹은 학년 진급률을 이용한 학생 (인구) 수를 추계하는 방법을 제시하는데 목적이 있다. 비례법을 이용한 이동평균비례법과 가중비례이동평균법이 인구추계의 방법으로 제시되었다. 제시된 방법들의 측정오차들에 대한 평균과 표준편차들을 모의실험을 통하여 구하였다. 본 연구에서 제시된 가중비례이동평균법과 이동평균비례법의 예측결과들은 낮게 추정되는 현상이 나타나고 있다. 이를 보완하여 대구 경북 지역의 고등학교 3학년 학생수를 추계하였다.

• 한국의학물리학회지:의학물리
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• 제32권2호
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• pp.50-58
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• 2021

Purpose: In this study, we investigated the relationship between the noise characteristics and the number of projected images in tomosynthesis using a digital phantom. Methods: The digital phantom consisted of a columnar phantom in the center of the image and a spherical phantom with a diameter of 80 pixels. A virtual scan was performed, and 128 projected images (Tomo_w/o) of the phantoms were obtained. The image noise according to the Poisson distribution was added to the projected images (Tomo_×1). Furthermore, another projected image with additional noise was prepared (Tomo_×1/2). For each dataset, we created datasets with 64 (half) and 32 (quarter) projections by removing the even-numbered images twice from the 128 (fully) projected images. Tomosynthesis images were reconstructed by filtered back projection (FBP). The modulation transfer function (MTF) was estimated using the sphere method, and the noise power spectrum (NPS) was estimated using the two-dimensional Fourier transform method. Results: The MTFs did not change between datasets, and the NPSs improved as the number of projected images increased. The noise characteristics of the Tomo_×1_half images were the same as those of the Tomo_×1/2_full. Conclusions: To achieve a reduction in the patient dose in tomosynthesis acquisition, we recommend reducing the number of projected images rather than reducing the dose per projection.

• 대한의용생체공학회:의공학회지
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• 제32권1호
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• pp.15-24
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• 2011

While Compton imaging is recognized as a valuable 3-D technique in nuclear medicine, reconstructing an image from Compton scattered data has been of a difficult problem due to its computational complexity. The most complex and time-consuming computation in Compton camera reconstruction is to perform the conical projection and backprojection operations. To alleviate the computational burden imposed by these operations, we investigate a rebinning method which can convert conical projections into parallel projections. The use of parallel projections allows to directly apply the existing deterministic reconstruction methods, which have been useful for conventional emission tomography, to Compton camera reconstruction. To convert conical projections into parallel projections, a cone surface is sampled with a number of lines. Each line is projected onto an imaginary plane that is mostly perpendicular to the line. The projection data rebinned in each imaginary plane can then be treated as the standard parallel projection data. To validate the rebinning method, we tested with the representative deterministic algorithms, such as the filtered backprojection method and the algebraic reconstruction technique. Our experimental results indicate that the rebinning method can be useful when the direct application of existing deterministic methods is needed for Compton camera reconstruction.

• Animal cells and systems
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• 제2권1호
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• pp.139-144
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• 1998

I examined the projection of glutamatergic neurons in the lateral reticular nucleus into ansiform (crus l and ll) and paramedian lobules in the rat cerebellum using immunocytochemical methods with antiserum against glutamate combined with WGA-HRP histochemistry. The projections of glutamatergic neurons from the lateral reticular nucleus to crus l were most extensive in number among the three injection cases and the majority of projections originated at the dorsal to dorsomedial region of the ipsilateral magnocellular nucleus. Glutamate-immunoreactive cells projecting to crus ll were less extensive in number than those projecting to crus l and were mainly localized at the dorsomedial portion of the ipsilateral magnocellular nucleus. Double-labelled neurons projecting to crus l or crux ll were also located at ipsilateral subtrigeminal as well as contralateral magnocellular nuclei. Glutamatergic neurons projecting to paramedian lobules were moderate in number and mainly located at the dorsal area of the ipsilateral magnocellular nucleus. A few double-labelled cells were also found at ipsilateral subtrigeminal or contralateral magnocellular nuclei. The present study suggests that glutamate-immunoreactive neurons at the dorsal to dorsomedial magnocellular division of the lateral reticular nucleus may participate in the excitatory control of target neuronal activities at ipsilateral, posterior hemispheric lobules of the rat cerebellum.

• 한국멀티미디어학회논문지
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• 제12권2호
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• pp.209-218
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• 2009

삼차원 역전사(3D backprojection) 기법은 수백 장의 이차원 투영영상을 가지고 대상물의 공간적인 위치 파악이 가능한 단층 영상(tomography)을 생성하기 위해 사용되는 재구성 기법이다. 재구성 기법은 단층 영상을 구성하는 결과볼륨의 모든 화소로부터 각 화소 위치에 기여할 값을 이차원 투영영상에서 계산하여 얻어오기 때문에 결과볼륨이 커지거나 투영영상의 수가 증가하게 되면 전체 계산량은 상당히 증가하게 된다. 이러한 문제를 해결하기 위해 최근 범용 그래픽스 하드웨어(graphics processing unit: GPU) 기반의 고속 삼차원 재구성 기법이 연구되었으며 상당한 성능 향상을 가져왔다. 본 논문에서는 기존의 단일 GPU 기반의 삼차원 재구성 기법을 다중 GPU기반으로 확장할 때 입력되는 투영영상 크기와 결과볼륨의 크기에 따라서 효율적으로 동작될 수 있는 두 가지 병렬 처리 구현 기법에 대해 제시하고 비교 분석한다. 제안한 병렬 처리 구현 기법은 투영영상을 입력 데이터로 간주하여 각 GPU가 모든 투영영상에 대해서 출력 데이터인 결과볼륨을 분할하여 생성하는 결과볼륨 분할생성 기법과 각 GPU가 투영영상을 분산적재하여 할당받은 입력 데이터에 대한 결과볼륨을 출력한 후 각각의 출력 결과를 CPU에서 합하는 투영영상 분산적재 기법이다. 실험 결과, 결과볼륨의 크기가 GPU에 모두 할당할 수 있는 크기인 경우에는 결과볼륨 분할생성 기법이 더 좋은 성능을 보였고, 결과볼륨의 크기가 GPU 메모리보다 큰 경우에는 투영영상 분산적재 기법이 더 유리하였다.