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Acceleration of projections onto convex sets

机译:加速凸集上的投影

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Abstract: Projections Onto Convex Sets (POCS) is an important algorithm for many image processing and video processing applications. Slow convergence is one of its limitations. In this paper, an acceleration algorithm for POCS is presented. The algorithm is based on the observation that the trajectory of iterations can be approximated as a straight line at the vicinity of the convergence point. As a result, a fast convergence algorithm can be derived. The proposed algorithm has a quadratic convergence rate as comparing to the linear rate of the standard POCS.!10
机译:摘要:凸集投影(POCS)是许多图像处理和视频处理应用程序中的一种重要算法。收敛缓慢是其局限性之一。本文提出了一种POCS的加速算法。该算法基于以下观察:迭代轨迹可以在收敛点附近近似为一条直线。结果,可以导出快速收敛算法。与标准POCS的线性速率相比,该算法具有二次收敛速率!10

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