Linear Convolution

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P M Makila - One of the best experts on this subject based on the ideXlab platform.

  • when is a Linear Convolution system stabilizable
    Systems & Control Letters, 2002
    Co-Authors: P M Makila
    Abstract:

    Lack of operator closedness and closability arguments are used to discuss the impossibility of finite lp/Lp gain stabilization of unstable finite-dimensional Linear (Convolution operator) systems in the doubly infinite time-axis case for any 1⩽p⩽∞. The presented analysis generalizes and refines a result due to Georgiou and Smith (IEEE Trans. Automat. Control 40 (1995) 516) for the L2(−∞,∞) setting.

M. Benaissa - One of the best experts on this subject based on the ideXlab platform.

Ching-tsorng Tsai - One of the best experts on this subject based on the ideXlab platform.

  • SMC - A piecewise Linear Convolution interpolation with third-order approximation for real-time image processing
    2010 IEEE International Conference on Systems Man and Cybernetics, 2010
    Co-Authors: Chishyan Liaw, Ching-tsorng Tsai
    Abstract:

    This paper presents a high-performance architecture of a piecewise Linear Convolution interpolation for digital image. The kernel of the proposed method is built up of piecewise Linear polynomial and approximates the ideal sinc-function in interval [−2, 2]. The proposed architecture reduces the computational complexity of generating weighting coefficients and provides a simple hardware architecture design, low computation cost and is easy to meet real-time requirement. The architecture is implemented on the Virtex-II FPGA, and the VLSI architecture has been successfully designed and implemented with TSMC 0.13µm standard cell library. The simulation results indicate that the interpolation quality of the proposed architecture is better than cubic Convolution interpolations mostly, which is able to process various-ratio image scaling for HDTV in real-time.

  • A piecewise Linear Convolution interpolation with third-order approximation for real-time image processing
    2010 IEEE International Conference on Systems Man and Cybernetics, 2010
    Co-Authors: Chishyan Liaw, Ching-tsorng Tsai
    Abstract:

    This paper presents a high-performance architecture of a piecewise Linear Convolution interpolation for digital image. The kernel of the proposed method is built up of piecewise Linear polynomial and approximates the ideal sinc-function in interval [-2, 2]. The proposed architecture reduces the computational complexity of generating weighting coefficients and provides a simple hardware architecture design, low computation cost and is easy to meet real-time requirement. The architecture is implemented on the Virtex-II FPGA, and the VLSI architecture has been successfully designed and implemented with TSMC 0.13μm standard cell library. The simulation results indicate that the interpolation quality of the proposed architecture is better than cubic Convolution interpolations mostly, which is able to process various-ratio image scaling for HDTV in real-time.

R.k. Ward - One of the best experts on this subject based on the ideXlab platform.

  • Reduction of boundary artifacts in image restoration
    IEEE Transactions on Image Processing, 1996
    Co-Authors: Farhad Aghdasi, R.k. Ward
    Abstract:

    The abrupt boundary truncation of an image introduces artifacts in the restored image. The traditional solution is to smooth the image data using special window functions such as Hamming or trapezoidal windows. This is followed by zero-padding and Linear Convolution with the restoration filter. This method improves the results but still distorts the image, especially at the margins. Instead of the above method, we propose a different procedure. This procedure is simple and exploits the natural property of "circular" or periodic Convolution of the discrete Fourier transform (DFT). Instead of padding the image by zeros, it is padded by a reflected version of it. This is followed by "circular" Convolution with the restoration filter. This procedure is shown to lead to better restoration results than the windowing and Linear Convolution techniques. The computational effort is also improved since our method requires half the number of computations required by the conventional Linear deConvolution method.

V. A. Lomazov - One of the best experts on this subject based on the ideXlab platform.