Denoising point sets via L0 minimization

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. (C) 2015 Elsevier B.V. All rights reserved.