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A smoothing algorithm based on curvature flow is proposed to suppress noises in triangular meshes reconstructed from contours. Geometric features among the mesh are detected, according to which the original mesh is refined adaptively. An isotropic method is used to smooth the refined mesh, making the algorithm straightforward and stable while preserving important geometric features. Experimental results show that the algorithm can denoise triangular meshes constructed from contours with important geometric features preserved competently.