The image denoising variational method possesses higher numerical precision but lower computational efficiency, especially in processing the remote sensing images which is usually larger. To this problem, an adaptive 2-D wavelet interpolation operator was constructed based on quasi-Shannon wavelet function, and then adaptive wavelet precision integration method (PIM) on solving 2-D partial differential equation was proposed by combining with PIM. This proposed method combined the multi-scale property of the wavelet transformation with the higher precision of PIM , which could improve the computational efficiency effectively so that the lager remote sensing image could be processed.%针对遥感影像数据量大、应用精度较高的图像降噪变分法处理时计算效率较低的问题,基于quasi-Shannon小波构造了一种二维自适应小波插值算子,并和精细积分法相结合建立了求解二维偏微分方程自适应小波精细积分方法.利用小波变换的多尺度自适应性和精细积分方法的高精度有效提高了图像降噪变分法的求解效率,从而可实现较大遥感影像的降噪处理.
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