The Design of the IIR Differintegrator and its Application in Edge Detection
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초록
New IIR digital differintegrators (differentiator and integrator) with very minorabsolute relative errors are presented in this paper. The digital integrator is designed byinterpolating some of the existing integrators. The optimum value of the interpolationratio is obtained through linear programming optimization. Subsequently, by modifyingthe transfer function of the proposed integrator appropriately, new digital differentiator isobtained. Simulation results demonstrate that the proposed differintegrator are a moreaccurate approximation of ideal ones, than the existing differintegrators. Furthermore,the proposed differentiator has been tested in an image processing application. Edgescharacterize boundaries and are, therefore, a problem of fundamental importance inimage processing. For comparison purpose Prewitt, Sobel, Roberts, Canny, Laplacianof Gaussian (LOG), Zerocross operators were used and their results are displayed. The results of edge detection by some of the existing differentiators are also provided. The simulation results have shown the superiority of the proposed approach overexisting ones.
Abstract
New IIR digital differintegrators (differentiator and integrator) with very minorabsolute relative errors are presented in this paper. The digital integrator is designed byinterpolating some of the existing integrators. The optimum value of the interpolationratio is obtained through linear programming optimization. Subsequently, by modifyingthe transfer function of the proposed integrator appropriately, new digital differentiator isobtained. Simulation results demonstrate that the proposed differintegrator are a moreaccurate approximation of ideal ones, than the existing differintegrators. Furthermore,the proposed differentiator has been tested in an image processing application. Edgescharacterize boundaries and are, therefore, a problem of fundamental importance inimage processing. For comparison purpose Prewitt, Sobel, Roberts, Canny, Laplacianof Gaussian (LOG), Zerocross operators were used and their results are displayed. The results of edge detection by some of the existing differentiators are also provided. The simulation results have shown the superiority of the proposed approach overexisting ones.
참고문헌 (14)
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