• Title/Summary/Keyword: parallel projection algorithm

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A STRONGLY CONVERGENT PARALLEL PROJECTION ALGORITHM FOR CONVEX FEASIBILITY PROBLEM

  • Dang, Ya-Zheng;Gao, Yan
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.93-100
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    • 2012
  • In this paper, we present a strongly convergent parallel projection algorithm by introducing some parameter sequences for convex feasibility problem. To prove the strong convergence in a simple way, we transmit the parallel algorithm in the original space to an alternating one in a newly constructed product space. Thus, the strong convergence of the parallel projection algorithm is derived with the help of the alternating one under some parametric controlling conditions.

Sparse-View CT Image Recovery Using Two-Step Iterative Shrinkage-Thresholding Algorithm

  • Chae, Byung Gyu;Lee, Sooyeul
    • ETRI Journal
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    • v.37 no.6
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    • pp.1251-1258
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    • 2015
  • We investigate an image recovery method for sparse-view computed tomography (CT) using an iterative shrinkage algorithm based on a second-order approach. The two-step iterative shrinkage-thresholding (TwIST) algorithm including a total variation regularization technique is elucidated to be more robust than other first-order methods; it enables a perfect restoration of an original image even if given only a few projection views of a parallel-beam geometry. We find that the incoherency of a projection system matrix in CT geometry sufficiently satisfies the exact reconstruction principle even when the matrix itself has a large condition number. Image reconstruction from fan-beam CT can be well carried out, but the retrieval performance is very low when compared to a parallel-beam geometry. This is considered to be due to the matrix complexity of the projection geometry. We also evaluate the image retrieval performance of the TwIST algorithm -sing measured projection data.

Locally Initiating Line-Based Object Association in Large Scale Multiple Cameras Environment

  • Cho, Shung-Han;Nam, Yun-Young;Hong, Sang-Jin;Cho, We-Duke
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.4 no.3
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    • pp.358-379
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    • 2010
  • Multiple object association is an important capability in visual surveillance system with multiple cameras. In this paper, we introduce locally initiating line-based object association with the parallel projection camera model, which can be applicable to the situation without the common (ground) plane. The parallel projection camera model supports the camera movement (i.e. panning, tilting and zooming) by using the simple table based compensation for non-ideal camera parameters. We propose the threshold distance based homographic line generation algorithm. This takes account of uncertain parameters such as transformation error, height uncertainty of objects and synchronization issue between cameras. Thus, the proposed algorithm associates multiple objects on demand in the surveillance system where the camera movement dynamically changes. We verify the proposed method with actual image frames. Finally, we discuss the strategy to improve the association performance by using the temporal and spatial redundancy.

Comparison of High Speed Modular Multiplication and Design of Expansible Systolic Array (고속 모듈러 승산의 비교와 확장 가능한 시스톨릭 어레이의 설계)

  • Chu, Bong-Jo;Choe, Seong-Uk
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.5
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    • pp.1219-1224
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    • 1999
  • This paper derived Montgomery's parallel algorithms for modular multiplication based on Walter's and Iwamura's method, and compared data dependence graph of each parallel algorithm. Comparing the result, Walter's parallel algorithm has small computational index in data dependence graph, so it is selected and used to computed spatial and temporal pipelining diagrams with each projection direction for designing expansible bit-level systolic array. We also evaluated internal operation of proposed expansible systolic array C++ language.

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Parallel Implementation of Radon Transform on TMS320C80-based System (TMS320C80시스템에서 Radon 변환의 병렬 구현)

  • 송정호;성효경최흥문
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.727-730
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    • 1998
  • In this paper, we propose an implementation of an efficient parallel Radon transform on TMS320C80-based system. For an N$\times$N SAR image, we can obtain O(NM/p) of the conventional parallel Radon transform, by representing the projection patterns in Radon space variables instead of the image space variables, and pipelining the algorithm, where p is the number of processors and M is the number of projection angles. Also, we can reduce the time for the dynamic load distribution among the nodes and the communication overheads of accessing the global memories, by pipelining the memory and processing operations by using tripple buffer structure. Experimental results show an efficient parallel Radon transform of speedup Sp=3.9 and efficiency E=97.5% for 256$\times$256 image, when implemented on TMS320C80 composed of four parallel slave processors with three memory blocks.

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Noise Properties for Filtered Back Projection in CT Reconstruction (필터보정역투영 CT 영상재구성방법에서 잡음 특성)

  • Chon, Kwonsu
    • Journal of the Korean Society of Radiology
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    • v.8 no.6
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    • pp.357-364
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    • 2014
  • The filtered back projection in the image reconstruction algorithms for the clinic computed tomography system has been widely used. Noise of the reconstructed image was examined under the input noise for parallel and fan beam geometries. The reconstruction images of $512{\times}512$ size were carried out under 360 and 720 projection by the Visual C++ for parallel beam and fan beam, respectively, and those agreed with the original Shepp-Logan head phantom very much. Noise was generated because of intrinsic restriction (finite number of projections) for the image reconstruction algorithm, filtered back projection, when no input noise was applied. Because the result noise was rapidly increased under 0.5% input noise ratio, technologies for reducing noise in CT system and image processing is important.

Fast Calculation Algorithm for Line Integral on CT Reconstruction (CT 영상재구성을 위한 빠른 선적분 알고리즘)

  • Kwon Su, Chon;Joon-Min, Gil
    • KIPS Transactions on Computer and Communication Systems
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    • v.12 no.1
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    • pp.41-46
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    • 2023
  • Iterative reconstruction of CT takes a long time because projection and back-projection are alternatively repeated until taking a good image. To reduce the reconstruction time, we need a fast algorithm for calculating the projection which is a time-consuming step. In this paper, we proposed a new algorithm to calculate the line integral and the algorithm is approximately 10% faster than the well-known Siddon method (Jacobs version) and has a good image quality. Although the algorithm has been investigated for the case of parallel beams, it can be extended to the case of fan and cone beam geometries in the future.

Subspace Projection-Based Clustering and Temporal ACRs Mining on MapReduce for Direct Marketing Service

  • Lee, Heon Gyu;Choi, Yong Hoon;Jung, Hoon;Shin, Yong Ho
    • ETRI Journal
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    • v.37 no.2
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    • pp.317-327
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    • 2015
  • A reliable analysis of consumer preference from a large amount of purchase data acquired in real time and an accurate customer characterization technique are essential for successful direct marketing campaigns. In this study, an optimal segmentation of post office customers in Korea is performed using a subspace projection-based clustering method to generate an accurate customer characterization from a high-dimensional census dataset. Moreover, a traditional temporal mining method is extended to an algorithm using the MapReduce framework for a consumer preference analysis. The experimental results show that it is possible to use parallel mining through a MapReduce-based algorithm and that the execution time of the algorithm is faster than that of a traditional method.

Parallel Processing of Multi-Core Processor and GPUs in Projection Step for Efficient Fluid Simulation (효율적인 유체 시뮬레이션을 위한 투영 단계에서의 멀티 코어 프로세서와 그래픽 프로세서의 병렬처리)

  • Kim, Sun-Tae;Jung, Hwi-Ryong;Hong, Jeong-Mo
    • The Journal of the Korea Contents Association
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    • v.13 no.6
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    • pp.48-54
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    • 2013
  • In these days, the state-of-art technologies employ the heterogeneous parallelization of CPU and GPU for fluid simulations in the field of computer graphics. In this paper, we present a novel CPU-GPU parallel algorithm that solves projection step of fluid simulation more efficiently than existing sequential CPU-GPU processing. Fluid simulation that requires high computational resources can be carried out efficiently by the proposed method.

Shape Measurement and Representation of 3-D Curved Objects using Simple Back-Projection algorithm (단순역투영법을 이용한 3차원 곡면물체의 형상계측 및 표현)

  • 최종수;김덕수
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.1
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    • pp.61-67
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    • 1985
  • The new computer vision system which can reconstruct contours of parallel fault planes with horizon of 3-D curved objects has been developed. With the system, the shape of 3-D objects was measured by Simple Back-Projection algorithm which is a fundamental one in C.T.(Computed Tomography). And, the curvature in differential geometry characterizes any curve. Devising it, the method to represent each contour of 3-D curved objects with the system is described in this paper.

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