Denoising point sets via L_0 minimization

摘要

We present an anisotropic point cloud denoising method using L_0 minimization. The L_0 norm directly measures the sparsity of a solution, and we observe that many common objects can be defined as piecewise smooth surfaces with a small number of features. Hence, we demonstrate how to apply an L_0 optimization directly to point clouds, which produces sparser solutions and sharper surfaces than either the L_1 or L_2 norm. Our method can faithfully recover sharp features while at the same time smoothing the remaining regions even in the presence of large amounts of noise.