针对待分割图像中含有强度不均匀性和噪声情况,传统水平集分割方法不能得到理想的分割结果且效率低、抗干扰能力弱等不足。为此,提出一种利用偏置校正的分数阶正则化水平集分割算法。该方法利用分数阶距离正则项惩罚水平集函数(level se...针对待分割图像中含有强度不均匀性和噪声情况,传统水平集分割方法不能得到理想的分割结果且效率低、抗干扰能力弱等不足。为此,提出一种利用偏置校正的分数阶正则化水平集分割算法。该方法利用分数阶距离正则项惩罚水平集函数(level set function,LSF)与带符号符号距离函数之间的偏差,抑制LSF在平坦区域的急剧反向扩散,保证LSF平稳演化。采用(Grünwald-Letnikov,G-L)分数阶导数,设计了新的分数阶导数及其共轭覆盖模板并采用改进的边缘停止函数和偏置校正,用于驱动LSF演化曲线快速地接近目标边缘。将偏置校正和分数阶距离正则化相结合用水平集函数来定义得到了能量泛函最小化的数值解。实验结果表明,所提方法对图像分割效率和鲁棒性有明显的提升。展开更多
A running mean bias(RMB) correction approach was applied to the forecasts of near-surface variables in a seasonal short-range ensemble forecasting experiment with 57 consecutive cases during summer 2010 in the norther...A running mean bias(RMB) correction approach was applied to the forecasts of near-surface variables in a seasonal short-range ensemble forecasting experiment with 57 consecutive cases during summer 2010 in the northern China region. To determine a proper training window length for calculating RMB, window lengths from 2 to 20 days were evaluated, and 16 days was taken as an optimal window length, since it receives most of the benefit from extending the window length. The raw and 16-day RMB corrected ensembles were then evaluated for their ensemble mean forecast skills. The results show that the raw ensemble has obvious bias in all near-surface variables. The RMB correction can remove the bias reasonably well, and generate an unbiased ensemble. The bias correction not only reduces the ensemble mean forecast error, but also results in a better spreaderror relationship. Moreover, two methods for computing calibrated probabilistic forecast(PF) were also evaluated through the 57 case dates: 1) using the relative frequency from the RMB-corrected ensemble; 2) computing the forecasting probabilities based on a historical rank histogram. The first method outperforms the second one, as it can improve both the reliability and the resolution of the PFs, while the second method only has a small effect on the reliability, indicating the necessity and importance of removing the systematic errors from the ensemble.展开更多
文摘针对待分割图像中含有强度不均匀性和噪声情况,传统水平集分割方法不能得到理想的分割结果且效率低、抗干扰能力弱等不足。为此,提出一种利用偏置校正的分数阶正则化水平集分割算法。该方法利用分数阶距离正则项惩罚水平集函数(level set function,LSF)与带符号符号距离函数之间的偏差,抑制LSF在平坦区域的急剧反向扩散,保证LSF平稳演化。采用(Grünwald-Letnikov,G-L)分数阶导数,设计了新的分数阶导数及其共轭覆盖模板并采用改进的边缘停止函数和偏置校正,用于驱动LSF演化曲线快速地接近目标边缘。将偏置校正和分数阶距离正则化相结合用水平集函数来定义得到了能量泛函最小化的数值解。实验结果表明,所提方法对图像分割效率和鲁棒性有明显的提升。
基金supported by a project of the National Natural Science Foundation of China (Grant No. 41305099)
文摘A running mean bias(RMB) correction approach was applied to the forecasts of near-surface variables in a seasonal short-range ensemble forecasting experiment with 57 consecutive cases during summer 2010 in the northern China region. To determine a proper training window length for calculating RMB, window lengths from 2 to 20 days were evaluated, and 16 days was taken as an optimal window length, since it receives most of the benefit from extending the window length. The raw and 16-day RMB corrected ensembles were then evaluated for their ensemble mean forecast skills. The results show that the raw ensemble has obvious bias in all near-surface variables. The RMB correction can remove the bias reasonably well, and generate an unbiased ensemble. The bias correction not only reduces the ensemble mean forecast error, but also results in a better spreaderror relationship. Moreover, two methods for computing calibrated probabilistic forecast(PF) were also evaluated through the 57 case dates: 1) using the relative frequency from the RMB-corrected ensemble; 2) computing the forecasting probabilities based on a historical rank histogram. The first method outperforms the second one, as it can improve both the reliability and the resolution of the PFs, while the second method only has a small effect on the reliability, indicating the necessity and importance of removing the systematic errors from the ensemble.
