• Title/Summary/Keyword: projection geometry

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Development of Regularized Expectation Maximization Algorithms for Fan-Beam SPECT Data (부채살 SPECT 데이터를 위한 정칙화된 기댓값 최대화 재구성기법 개발)

  • Kim, Soo-Mee;Lee, Jae-Sung;Lee, Soo-Jin;Kim, Kyeong-Min;Lee, Dong-Soo
    • The Korean Journal of Nuclear Medicine
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    • v.39 no.6
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    • pp.464-472
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    • 2005
  • Purpose: SPECT using a fan-beam collimator improves spatial resolution and sensitivity. For the reconstruction from fan-beam projections, it is necessary to implement direct fan-beam reconstruction methods without transforming the data into the parallel geometry. In this study, various fan-beam reconstruction algorithms were implemented and their performances were compared. Materials and Methods: The projector for fan-beam SPECT was implemented using a ray-tracing method. The direct reconstruction algorithms implemented for fan-beam projection data were FBP (filtered backprojection), EM (expectation maximization), OS-EM (ordered subsets EM) and MAP-EM OSL (maximum a posteriori EM using the one-step late method) with membrane and thin-plate models as priors. For comparison, the fan-beam protection data were also rebinned into the parallel data using various interpolation methods, such as the nearest neighbor, bilinear and bicubic interpolations, and reconstructed using the conventional EM algorithm for parallel data. Noiseless and noisy projection data from the digital Hoffman brain and Shepp/Logan phantoms were reconstructed using the above algorithms. The reconstructed images were compared in terms of a percent error metric. Results: for the fan-beam data with Poisson noise, the MAP-EM OSL algorithm with the thin-plate prior showed the best result in both percent error and stability. Bilinear interpolation was the most effective method for rebinning from the fan-beam to parallel geometry when the accuracy and computation load were considered. Direct fan-beam EM reconstructions were more accurate than the standard EM reconstructions obtained from rebinned parallel data. Conclusion: Direct fan-beam reconstruction algorithms were implemented, which provided significantly improved reconstructions.

Content Adaptive Technique of Embedding Complementary Patterns for Nonintrusive Projection-based Augmented Reality (비간섭 프로젝션 기반 증강현실을 위한 컨텐츠 적응형 보색 패턴 삽입 기술)

  • Park, Han-Hoon;Lee, Moon-Hyun;Seo, Byung-Kuk;Jin, Yoon-Jong;Park, Jong-Il
    • 한국HCI학회:학술대회논문집
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    • 2007.02a
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    • pp.103-108
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    • 2007
  • 최근 프로젝터의 보편화로 인해 프로젝터를 증강현실의 디스플레이 장치로 활용하는 연구가 활발히 진행되고 있다. 관련 연구들을 흔히 프로젝션 기반 증강현실이라고 부른다. 프로젝션 기반 증강현실을 구현하기 위해서는 스크린의 기하(geometry) 및 컬러(photometry) 정보를 획득하는 과정이 선행되어야 하는데, 이는 프로젝터를 이용하여 정해진 패턴 영상을 투사하고 이를 카메라로 캡쳐한 후, 카메라 영상에 다양한 컴퓨터비전 기술들을 적용함으로써 행해진다. 이러한 스크린 기하 및 컬러 정보 획득 기술은 가시적인(visible) 패턴 영상이 사용자의 몰입감을 저해한다는 단점을 가진다. 특히, 스크린의 기하 및 컬러 정보가 수시로 변하는 환경에서는 가시적인 패턴 영상을 사용하는 기존의 스크린 기하 및 컬러 정보 획득 기술은 유용하지 못하다. 이러한 문제점을 해결하기 위해 일부 패턴 영상을 비가시적(invisible)으로 만드는 기술들이 제안되었다. 본 논문에서는 관련 기술들을 비간섭 프로젝션 기반 증강현실이라고 한다. 특히, 보색 패턴(complementary patterns)을 증강현실 영상에 삽입하는 방법은 부가적인 장비없이 간단한 영상처리만으로 효과적으로 패턴 영상을 비가시적으로 만들어 줄 수 있으며, 최근 가상 스튜디오에 활용하는 방안이 모색되고 있다. 그러나, 삽입된 보색 패턴의 세기와 비가시성 사이는 상반관계(trade-off)를 가지므로, 일반적인 환경에서는 보색 패턴의 비가시성을 보장할 수 없다. 본 논문에서는 이러한 보색 패턴의 비가시성을 극대화하기 위해 컨텐츠 적응형 패턴 삽입 기술을 제안한다. 증강현실 영상의 색감 및 텍스처의 복잡도에 따라 크게 4 가지 경우로 분류하여 부분적으로 다른 채널 및 세기로 보색 패턴을 삽입한다. YIQ 컬러 공간에서 표현된 증강현실 영상을 균일한 크기의 영역으로 나눈 다음, 각 영역에 대해 I 성분이 지배적이면 Q 채널에 패턴을 삽입하고 Q 성분이 지배적이면 I 채널에 패턴을 삽입한다. 한편, 각 영역에 대해 텍스처의 복잡도가 크다면 강한 패턴을, 복잡도가 작으면 약한 패턴을 삽입한다. 여기서, 텍스처의 복잡도는 간단한 미분 필터(derivative filter)를 이용하여 계산된다. 다양한 실험 및 사용자 평가를 통해, 제안된 방법은 기존 방법에 비해 크게 두 가지 상반관계를 가지는 장점을 가짐을 확인하였다. 스크린의 기하 및 컬러 정보를 획득하는 성능 면에서 제안된 방법이 기존의 방법과 유사하도록 채널 및 패턴의 세기를 결정한다면, 기존의 방법에 비해 패턴의 비가시성이 크게 개선된다. 반대로, 제안된 방법의 패턴의 비가시성이 기존의 방법과 유사하도록 채널 및 패턴의 세기를 결정한다면, 기존의 방법에 비해 스크린의 기하 및 컬러 정보를 획득하는 성능이 크게 개선된다.

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Development of Image Reconstruction Algorithm for Chest Digital Tomosynthesis System (CDT) and Evaluation of Dose and Image Quality (흉부 디지털 단층영상합성 시스템의 영상 재구성 알고리즘 개발 및 선량과 화질 평가)

  • Kim, Min Kyoung;Kwak, Hyeng Ju;Kim, Jong Hun;Choe, Won-Ho;Ha, Yun Kyung;Lee, So Jung;Kim, Dae Ho;Lee, Yong-Gu;Lee, Youngjin
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.9
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    • pp.143-147
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    • 2016
  • Recently, digital tomosynthesis system (DTS) has been developed to reduce overlap using conventional X-ray and to overcome high patient dose problem using computed tomography (CT). The purpose of this study was to develop image reconstruction algorithm and to evaluate image characteristics and dose with chest digital tomosynthesis (CDT) system. Image reconstruction was used for filtered back-projection (FBP) methods and system geometry was constructed ${\pm}10^{\circ}$, ${\pm}15^{\circ}$, ${\pm}20^{\circ}$, and ${\pm}30^{\circ}$ angular range for acquiring phantom images. Image characteristics carried out root mean square error (RMSE) and signal difference-to-noise ratio (SDNR), and dose is evaluated effective dose with ${\pm}20^{\circ}$ angular range. According to the results, the phantom image with slice thickness filter has superb RMSE and SDNR, and effective dose was 0.166 mSv. In conclusion, we demonstrated usefulness of developed CDT image reconstruction algorithm and we constructed CDT basic output data with measuring effective dose.

Development of Unmatched System Model for Iterative Image Reconstruction for Pinhole Collimator of Imaging Systems in Nuclear Medicine (핀홀콜리메이터를 사용한 핵의학영상기기의 순환적 영상 재구성을 위한 비동일 시스템 모델 개발)

  • Bae, Jae-Keon;Bae, Seung-Bin;Lee, Ki-Sung;Kim, Yong-Kwon;Joung, Jin-Hun
    • Journal of radiological science and technology
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    • v.35 no.4
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    • pp.353-360
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    • 2012
  • Diverse designs of collimator have been applied to Single Photon Emission Computed Tomography (SPECT) according to the purpose of acquisition; thus, it is necessary to reflect geometric characteristic of each collimator for successive image reconstruction. This study carry out reconstruction algorithm for imaging system in nuclear medicine with pinhole collimator. Especially, we study to solve sampling problem which caused in the system model of pinhole collimator. System model for a maximum likelihood expectation maximization (MLEM) was developed based on the geometry of the collimator. The projector and back-projector were separately implemented based on the ray-driven and voxel-driven methods, respectively, to overcome sparse sampling problem. We perform phantom study for pinhole collimator by using geant4 application for tomographic emission(GATE) simulation tool. The reconstructed images show promising results. Designed iterative reconstruction algorithm with unmatched system model effective to remove sampling problem artefact. Proposed algorithm can be used not only for pinhole collimator but also for various collimator system of imaging system in nuclear medicine.

2D Interpolation of 3D Points using Video-based Point Cloud Compression (비디오 기반 포인트 클라우드 압축을 사용한 3차원 포인트의 2차원 보간 방안)

  • Hwang, Yonghae;Kim, Junsik;Kim, Kyuheon
    • Journal of Broadcast Engineering
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    • v.26 no.6
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    • pp.692-703
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    • 2021
  • Recently, with the development of computer graphics technology, research on technology for expressing real objects as more realistic virtual graphics is being actively conducted. Point cloud is a technology that uses numerous points, including 2D spatial coordinates and color information, to represent 3D objects, and they require huge data storage and high-performance computing devices to provide various services. Video-based Point Cloud Compression (V-PCC) technology is currently being studied by the international standard organization MPEG, which is a projection based method that projects point cloud into 2D plane, and then compresses them using 2D video codecs. V-PCC technology compresses point cloud objects using 2D images such as Occupancy map, Geometry image, Attribute image, and other auxiliary information that includes the relationship between 2D plane and 3D space. When increasing the density of point cloud or expanding an object, 3D calculation is generally used, but there are limitations in that the calculation method is complicated, requires a lot of time, and it is difficult to determine the correct location of a new point. This paper proposes a method to generate additional points at more accurate locations with less computation by applying 2D interpolation to the image on which the point cloud is projected, in the V-PCC technology.

CORRELATION ASSESSMENT BETWEEN RESONANCE FREQUENCY ANALYSIS AND RADIOGRAPHIC METHOD ACCORDING TO PERI-IMPLANT BONE CHANGE

  • Lee Mi-Ran;Cho Lee-Ra;Yi Yang-Jin;Choi Hang-Moon;Park Chan-Jin
    • The Journal of Korean Academy of Prosthodontics
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    • v.43 no.6
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    • pp.736-744
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    • 2005
  • Statement of problem. Initial stability of implant is an important factor for predicting osseointegration. It requires a rapid, non-invasive, user-friendly technique to frequently assess the implant stability and the degree of osseointegration. Purpose. The aim of this study was to evaluate the correlation between the resonance frequency analysis (RFA) and the radiographic method for peri-implant bone change under in vitro conditions. Material and Method. Twenty implants of 3.75 mm in diameter(Neoplant, Neobiotech, Korea) were used. To simulate peri-implant bone change, 2 mm-deep $45^{\circ}$ range horizontal defect and 2 mm-deep $90^{\circ}$ range horizontal defect area were serially prepared perpendicular to the X-ray beam after conventional implant insertion. Customized film holding device was fabricated to standardize the projection geometry for serial radiographs of implants and direct digital image was obtained. ISQ values and gray values inside threads were measured before and after peri-implant bone defect preparation. Results. Within a limitation of this study, ISQ value of resonance frequency analysis was changed according to peri-implant bone change (p<0.05) and gray value of radiographic method was changed according to peri-implant bone change (p<0.05). There was no correlation between the ISQ value and the gray value for peri-implant bone change (p>0.05). But, in horizontal defect condition, relatively positive correlation were between ISQ and gray values(r=0.663). Conclusion. This results provided a possibility that peri-implant bone change may be evaluated by both RFA and radiographic method.

Video Augmentation of Virtual Object by Uncalibrated 3D Reconstruction from Video Frames (비디오 영상에서의 비보정 3차원 좌표 복원을 통한 가상 객체의 비디오 합성)

  • Park Jong-Seung;Sung Mee-Young
    • Journal of Korea Multimedia Society
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    • v.9 no.4
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    • pp.421-433
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    • 2006
  • This paper proposes a method to insert virtual objects into a real video stream based on feature tracking and camera pose estimation from a set of single-camera video frames. To insert or modify 3D shapes to target video frames, the transformation from the 3D objects to the projection of the objects onto the video frames should be revealed. It is shown that, without a camera calibration process, the 3D reconstruction is possible using multiple images from a single camera under the fixed internal camera parameters. The proposed approach is based on the simplification of the camera matrix of intrinsic parameters and the use of projective geometry. The method is particularly useful for augmented reality applications to insert or modify models to a real video stream. The proposed method is based on a linear parameter estimation approach for the auto-calibration step and it enhances the stability and reduces the execution time. Several experimental results are presented on real-world video streams, demonstrating the usefulness of our method for the augmented reality applications.

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A Study of the Applicability of Cross-Section Method for Cut-Slope Stability Analysis (개착사면의 안정성 해석을 위한 횡단면 기법의 활용성 고찰)

  • Cho, Tae-Chin;Hwang, Taik-Jean;Lee, Guen-Ho;Cho, Kye-Seong;Lee, Sang-Bae
    • Tunnel and Underground Space
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    • v.22 no.1
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    • pp.43-53
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    • 2012
  • Stability of cut-slope, the orientation and dimension of which are gradually changed, has been analyzed by employing the cross-section method capable of comprehensibly considering the lithological, structural and mechanical characteristics of slope rock. Lithological fragility is investigated by inspecting the drilled core logs and BIPS image has been taken to delineate the rock structure. Engineering properties of drilled-core including the joint shear strength have been also measured. Potential failure modes of cut-slope and failure-induced joints are identified by performing the stereographic projection analysis. Traces of potential failure-induced joints are drawn on the cross-section which depicts the excavated geometry of cut-slope. Considering the distribution of potential plane failure-induced joint traces blocks of plane failure mode are hypothetically formed. The stabilities and required reinforcements of plane failure blocks located at the different excavation depth have been calculated to confirm the applicability of the cross-section method for the optimum cut-slope design.

A Defocus Technique based Depth from Lens Translation using Sequential SVD Factorization

  • Kim, Jong-Il;Ahn, Hyun-Sik;Jeong, Gu-Min;Kim, Do-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.383-388
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    • 2005
  • Depth recovery in robot vision is an essential problem to infer the three dimensional geometry of scenes from a sequence of the two dimensional images. In the past, many studies have been proposed for the depth estimation such as stereopsis, motion parallax and blurring phenomena. Among cues for depth estimation, depth from lens translation is based on shape from motion by using feature points. This approach is derived from the correspondence of feature points detected in images and performs the depth estimation that uses information on the motion of feature points. The approaches using motion vectors suffer from the occlusion or missing part problem, and the image blur is ignored in the feature point detection. This paper presents a novel approach to the defocus technique based depth from lens translation using sequential SVD factorization. Solving such the problems requires modeling of mutual relationship between the light and optics until reaching the image plane. For this mutuality, we first discuss the optical properties of a camera system, because the image blur varies according to camera parameter settings. The camera system accounts for the camera model integrating a thin lens based camera model to explain the light and optical properties and a perspective projection camera model to explain the depth from lens translation. Then, depth from lens translation is proposed to use the feature points detected in edges of the image blur. The feature points contain the depth information derived from an amount of blur of width. The shape and motion can be estimated from the motion of feature points. This method uses the sequential SVD factorization to represent the orthogonal matrices that are singular value decomposition. Some experiments have been performed with a sequence of real and synthetic images comparing the presented method with the depth from lens translation. Experimental results have demonstrated the validity and shown the applicability of the proposed method to the depth estimation.

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Approximate calculation of the static analysis of a lifted stay cable in super-long span cable-stayed bridges

  • Zhao, Xinwei;Xiao, Rucheng;Sun, Bin
    • Structural Engineering and Mechanics
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    • v.74 no.5
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    • pp.635-655
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    • 2020
  • The sag effect of long stay cables is one of the key factors restricting further increase in the span of cable-stayed bridges. Based on the formerly proposed concept of long stay cables lifted by an auxiliary suspension cable in cross-strait cable-stayed bridges, corresponding static approximate calculations and analytical theory based on catenary and parabolic cable configurations are established. Taking a main span 1400 m cable-stayed bridge as the research object, three typical lifting conditions and the whole process of auxiliary cable lifting are analyzed and discussed. The results show that the sag effect is effectively reduced. The support efficiency is only improved when the cables are lifted above the original cable chord. Reduction of the horizontal component force of the cable is limited. The equivalent elastic modulus and the vertical support stiffness of the lifted cables are significantly increased with increased horizontal projection length and not sensitive to the change of the lifting point position. The scheme of lifting the cable to the chord midpoint is more economical because of the less steel required for the auxiliary suspension cable, but its effect on improving the vertical support efficiency is limited. The support efficiency is better when the cable is lifted to the cable end tangential to the original cable chord, but the lifting force and the cross-sectional area of the auxiliary suspension cable are doubled. The approximate calculation results of the lifted cables are very close to the numerical analysis results, which verifies the applicability of the approximation method proposed in this study. The results of parabolic approximation calculations are approximately equal to that of catenary cable geometry. As the parabolic approximation analysis theory of lifted cables is more convenient in mathematical processing, it is feasible to use parabolic approximation analysis theory as the analytical method for the conceptual design of lifted cables of super-long span cable-stayed bridges.