• Title/Summary/Keyword: Backprojection

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The Use of Regularizers for High-Frequency Apodization in Filtered Backprojection (Filtered Backprojection에서 정착자를 사용한 고주파 감쇠)

  • Lee, Soo-Jin;Kim, Yong-Hoh
    • The Journal of Engineering Research
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    • v.2 no.1
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    • pp.49-56
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    • 1997
  • In emission computed tomography, statistical reconstruction methods in the context of a Bayesian framework have been a topic of interest over the last decade. This was mainly due to the fact that Bayesian approaches can incorporate a priori information into the reconstruction algorithm. Although these approaches can exhibit good performance, their applications to the clinic is hindered mainly by their high computational cost. On the other hand, the speed and simplicity of the filtered backprojection (FBP) algorithm have led to its widespread use in most clinical applications. In this work, we use spline models, which have been quite useful in Bayesian reconstruction, as regularizers for high-frequency apodization in FBP algorithm and show that the effects of using spline models as priors in Bayesian reconstruction can also be achieved in FBP reconstruction.

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Fast Orthorectification for High Resolution Satellite Images Using Quadtree-Based Patch Backprojection

  • Chen, Liang-Chien;Teo, Tee-Ann;Rau, Jiann-Yeou
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.687-689
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    • 2003
  • High resolution satellite images have huge amount of pixels in common. Thus, an efficient method is required for the generation of orthoimages. Patch backprojection method is a feasible way to improve the efficiency with respect to the point-by-point patch backprojection. We will propose an Adaptive Patch that optimizes the patch size for different terrain variations. The essence of the patch optimization is quadrate structuring for terrain variations. The area of interest is, thus, sequentially subdivided to four quadrate tiles until a preset criterion is met. The experiment results indicated that the proposed method is efficient without losing accuracy.

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Comparison Study on Projection and Backprojection Methods for CT Simulation (투사 및 역투사 방법에 따른 컴퓨터단층촬영 영상 비교)

  • Oh, Ohsung;Lee, Seung Wook
    • Journal of radiological science and technology
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    • v.37 no.4
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    • pp.323-330
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    • 2014
  • Image reconstruction is one of the most important processes in CT (Computed tomography) technology. For fast scanning and low dose to the objects, iterative reconstruction is becoming more and more important. In the implementation of iterative reconstruction, projection and backprojection processes are considered to be indispensable parts. However, many approaches for projection and backprojection may result severe image artifacts due to their discrete characteristics and affects the reconstructed image quality. Thus, new approaches for projection and backprojection are highly demanded these days. In this paper, distance-driven approach was evaluated and compared with other conventional methods. The numerical simulator was developed to make the phantoms, and projection and backprojection images were compared using these approaches. As a result, it turned out that there are less artifacts during projection and backprojection in parallel and fan beam geometry.

Implementing a Fast Projector-Backprojector for EM-Based Tomogrphic Reconstruction

  • 이수진
    • Journal of Biomedical Engineering Research
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    • v.20 no.6
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    • pp.523-529
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    • 1999
  • 방출컴퓨터단층영상술을 위한 영상재구성법에 있어서 기대값 최대화(EM)를 사용한 maximum likeihood 방법이 기존의 filtered backprojection 방법에 비해 현저한 장점을 지니고 있다는 점에서 지속적으로 그 가치가 인정되어 왔다. 그러나, 이러한 방법은 projection 및 backprojection 의 반복계산을 요하므로 영상재구성을 위한 총 계산시간이 projector 및 backprojector 의 성능에 크게 좌우된다. 본 논문에서는 EM에 근거한 영상재구성 알고리즘의 계산량을 감소시키는 방법에 관하여 논한다. 특히, projection 및 backprojection 계산을 위한 행렬의 원소중 중요한 양들을 구하는 방법과 이들을 미리 계산하여 적절한 양의 메모리에 저장하는 방법에 관하여 고찰한다. 실험에서 제안된 방법을 사용할 경우 EM 알고리즘의 계산시간을 92%까지 현저히 감소시킬 수있음을 보였다.

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Backprojection Filtering Method for Limited Angle Tomography (제한된 각도에서 단층영상 획득을 위한 역투사 후 필터링 방법)

  • Cho, Min-Kook;Kim, Ho-Kyung;Yin, Z-Hye;Kim, Tae-Woo
    • Journal of Biomedical Engineering Research
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    • v.29 no.1
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    • pp.46-51
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    • 2008
  • We describe a backprojection filtering method for limited angle tomography. In order to reduce blur artifacts originated from the out-of-planes and control high-frequency noise, we employed two band-limited window functions, and which were realized by Hann filters in this study. Based on the experimentally measured data, the performance of the developed method is demonstrated by comparing with the conventional shift-and-add and filtered backprojection methods. Application of the developed method to the dental imaging has a potential to be used for the preoperative evaluation of the jaw for dental implants with much reduced patient dose instead of the conventional dental computed tomography.

Fast Multi-GPU based 3D Backprojection Method (다중 GPU 기반의 고속 삼차원 역전사 기법)

  • Lee, Byeong-Hun;Lee, Ho;Kye, Hee-Won;Shin, Yeong-Gil
    • Journal of Korea Multimedia Society
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    • v.12 no.2
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    • pp.209-218
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    • 2009
  • 3D backprojection is a kind of reconstruction algorithm to generate volume data consisting of tomographic images, which provides spatial information of the original 3D data from hundreds of 2D projections. The computational time of backprojection increases in proportion to the size of volume data and the number of projection images since the value of every voxel in volume data is calculated by considering corresponding pixels from hundreds of projections. For the reduction of computational time, fast GPU based 3D backprojection methods have been studied recently and the performance of them has been improved significantly. This paper presents two multiple GPU based methods to maximize the parallelism of GPU and compares the efficiencies of two methods by considering both the number of projections and the size of volume data. The first method is to generate partial volume data independently for all projections after allocating a half size of volume data on each GPU. The second method is to acquire the entire volume data by merging the incomplete volume data of each GPU on CPU. The in-complete volume data is generated using the half size of projections after allocating the full size of volume data on each GPU. In experimental results, the first method performed better than the second method when the entire volume data can be allocated on GPU. Otherwise, the second method was efficient than the first one.

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Enhancement of Image Sharpness in X-ray Digital Tomosynthesis Using Self-Layer Subtraction Backprojection Method (관심 단층 제거 후 역투사법을 이용한 X-선 디지털 영상합성법에서의 단층영상 선명도 향상에 관한 연구)

  • Shon, Cheol-Soon;Cho, Min-Kook;Lim, Chang-Hwy;Cheong, Min-Ho;Kim, Ho-Kyung;Lee, Sung-Sik
    • Journal of the Korean Society for Nondestructive Testing
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    • v.27 no.1
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    • pp.8-14
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    • 2007
  • X-ray digital tomosynthesis is widely used in the nondestructive testing and evaluation, especially for the printed circuit boards (PCBs). In this study, we propose a simple method to reduce the blur artefact, frequently claimed in the conventional digital tomosynthesis based on SAA (shift-and-add) algorithm, and thus restore the image sharpness. The proposed method is basically based on the SAA, but has a correction procedure by finding blur artefacts from the forward-and back-projection for the firstly obtained, manipulated backprojection data. The manipulation is the replacement of the original data at the POI (plane-of-interest) by zeros. This method has been compared with the conventional SAA algorithm using the experimental measurements and Monte Carlo simulation for the designed PCB phantom. The comparison showed a much enhancement of sharpness in the images obtained from the proposed method.

Novel Backprojection Method for Monocular Head Pose Estimation

  • Ju, Kun;Shin, Bok-Suk;Klette, Reinhard
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.1
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    • pp.50-58
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    • 2013
  • Estimating a driver's head pose is an important task in driver-assistance systems because it can provide information about where a driver is looking, thereby giving useful cues about the status of the driver (i.e., paying proper attention, fatigued, etc.). This study proposes a system for estimating the head pose using monocular images, which includes a novel use of backprojection. The system can use a single image to estimate a driver's head pose at a particular time stamp, or an image sequence to support the analysis of a driver's status. Using our proposed system, we compared two previous pose estimation approaches. We introduced an approach for providing ground-truth reference data using a mannequin model. Our experimental results demonstrate that the proposed system provides relatively accurate estimations of the yaw, tilt, and roll angle. The results also show that one of the pose estimation approaches (perspective-n-point, PnP) provided a consistently better estimate compared to the other (pose from orthography and scaling with iterations, POSIT) using our proposed system.

Simulation of the Coating Thickness Measurement in the TRISO-coated Fuel Particle Image Reconstruction by the Filtered Backprojection (Filtered Backprojection에 의해 복원된 TRISO 핵연료입자 단층 영상을 이용한 코팅 두께 측정 시뮬레이션)

  • Kim, Woong-Ki;Lee, Young-Woo;Park, Ji-Yeon;Ra, Sung-Woong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2005.11a
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    • pp.713-716
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    • 2005
  • 차세대 원자로로 부각되고 있는 고온가스냉각 원자로에서는 고온 안정성 및 핵분열생성물 차단 성능이 우수한 TRISO(Tri-Isotropic) 핵연료를 사용하고 있다. TRISO 핵연료 입자는 직경이 약 1mm인 구 형태로 입자의 중심에는 직경 $0.35^{\sim}0.6\;{\mu}m$의 핵연료 입자가 포함되며 입자 외곽을 코팅 층이 에워 싸고 있다. 이 코팅층은 완충(buffer) PyC 층, 내부 PyC 층, 외부 PyC 층으로 구성되어 있다. 각 코팅 층의 두께를 수십$^{\sim}$${\mu}m$ 범위이며 사양으로 정해져 있어 핵연료 입자 제조 후 사양을 만족하는지를 검사해야 한다. 본 연구에서는 TRISO 핵연료 입자 정보를 컴퓨터로 생성하고 가상의 X-선 래디오그래피 방법을 이용하여 투시 영상을 구성한 후 Filtered Backprojection 기법을 이용하여 단면 영상을 재구성하고 이 단면 영상을 이용하여 코팅 층의 두께를 정밀하게 측정하기 위한 모의 실험을 수행하였다. 경계선이 불명확한 투시영상이 아닌 경계선이 명확한 재구성 단면 영상을 이용하여 코팅 층의 두께를 약 2.3% 이내의 오차율로 정밀하게 측정하였다.

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A Spline-Regularized Sinogram Smoothing Method for Filtered Backprojection Tomographic Reconstruction

  • Lee, S.J.;Kim, H.S.
    • Journal of Biomedical Engineering Research
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    • v.22 no.4
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    • pp.311-319
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    • 2001
  • Statistical reconstruction methods in the context of a Bayesian framework have played an important role in emission tomography since they allow to incorporate a priori information into the reconstruction algorithm. Given the ill-posed nature of tomographic inversion and the poor quality of projection data, the Bayesian approach uses regularizers to stabilize solutions by incorporating suitable prior models. In this work we show that, while the quantitative performance of the standard filtered backprojection (FBP) algorithm is not as good as that of Bayesian methods, the application of spline-regularized smoothing to the sinogram space can make the FBP algorithm improve its performance by inheriting the advantages of using the spline priors in Bayesian methods. We first show how to implement the spline-regularized smoothing filter by deriving mathematical relationship between the regularization and the lowpass filtering. We then compare quantitative performance of our new FBP algorithms using the quantitation of bias/variance and the total squared error (TSE) measured over noise trials. Our numerical results show that the second-order spline filter applied to FBP yields the best results in terms of TSE among the three different spline orders considered in our experiments.

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