Abstract:The slanted edge method is a basic approach for measuring the modulation transfer function (MTF) of imaging systems; however, its measurement accuracy is limited in practice. Theoretical analysis of the slanted edge MTF measurement method performed in this paper reveals that inappropriate edge angles and random noise reduce this accuracy. The error caused by edge angles is analyzed using sampling and reconstruction theory. Furthermore, an error model combining noise and edge angles is proposed. We verify the a… Show more
“…Qin and Gong proposed a slanted edge method to calculate the point spread function (PSF) of remote sensing images. (8) Xie et al analyzed in detail the factors that may affect the MTF results in the slanted edge method, (9) such as the edge angle and measurement error. The slanted edge approach generally includes four steps: (1) Edge extraction: The least squares (LS) method is usually adopted to calculate the slanted edge using the edge points.…”
In this paper, we present improved slanted edge methods of measuring the modulation transfer function (MTF) based on structured total least L1-, L2-norm edge fitting for urban remote sensing images. The structured total least L1-, L2-norm methods are used to establish slanted edge fitting models, which take the errors in both the design matrix and observation vector in the fitting model into consideration. The slanted edge fitting parameters are estimated under the two norm criteria of L1 and L2. The proposed methods are applied to both simulated and actual images. The results showed that the edge fitting parameters and MTF values calculated by the proposed methods are closer to the true values than those obtained by the traditional slanted edge method based on classical least-squares fitting. It is also found that when the data contain a large amount of noise, the structured total least L1-norm edge fitting has the greatest robustness.
“…Qin and Gong proposed a slanted edge method to calculate the point spread function (PSF) of remote sensing images. (8) Xie et al analyzed in detail the factors that may affect the MTF results in the slanted edge method, (9) such as the edge angle and measurement error. The slanted edge approach generally includes four steps: (1) Edge extraction: The least squares (LS) method is usually adopted to calculate the slanted edge using the edge points.…”
In this paper, we present improved slanted edge methods of measuring the modulation transfer function (MTF) based on structured total least L1-, L2-norm edge fitting for urban remote sensing images. The structured total least L1-, L2-norm methods are used to establish slanted edge fitting models, which take the errors in both the design matrix and observation vector in the fitting model into consideration. The slanted edge fitting parameters are estimated under the two norm criteria of L1 and L2. The proposed methods are applied to both simulated and actual images. The results showed that the edge fitting parameters and MTF values calculated by the proposed methods are closer to the true values than those obtained by the traditional slanted edge method based on classical least-squares fitting. It is also found that when the data contain a large amount of noise, the structured total least L1-norm edge fitting has the greatest robustness.
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