中文摘要：

电磁类地球物理方法由于极易受到各类噪声的干扰，使得估计的视电阻率曲线或相位曲线发生畸变，严重地影响了反演解译精度，如何对这类观测曲线进行合理有效地平滑，是目前数据处理中的重点，也是难点．本文把各向异性扩散（anisotropic diffusion AD）引入到曲线平滑中，提出了各向异性扩散的曲线平滑方法，以平滑点梯度值的降函数作为扩散速度，在梯度较大的位置予以较小的扩散速度以保护特征，在梯度较小的位置予以较大的扩散速度平滑噪声引起的扰动．同时为了减小“飞点”（outliers）对平滑的干扰，采用局部单调扩散进行预处理．实验结果显示，本文提出的平滑方法有效地平滑了噪声与“飞点”的干扰，恢复了曲线的基本形态，有效地保持了曲线基本特征．

英文摘要：

Estimated apparent resistivity or phase curve may be distorted because electromagnetic methods are influ enced by noise easily, and influences accuracy of inversion. It is key and difficult point of data processing currently how to smooth the curve effectively. In the paper anisotropic diffusion（AD） is introduced to curve smoothing and the method of curve smoothing based on AD is proposed. In the method nonincreasing function of gradient is taken for diffusion velocity, if gradient of smoothing point is larger, then the diffusion velocity will be low and features of curve will be preserved, Otherwise the diffusion velocity will be larger and disturbance by noise will be smoothed out. Meanwhile preprocessing is done by Locally Monotionic Diffusion in order to reduce influence of ＂outlies＂. The re suits of Field data show that the method can remove noise and ＂outlies＂ effectively, restore basis shape of curve and preserve its features effectively.