  We present a semi-sparsity model for 3D triangular mesh denoising, which is
motivated by the success of semi-sparsity regularization in image processing
applications. We demonstrate that such a regularization model can be also
applied for graphic processing and gives rise to similar simultaneous-fitting
results in preserving sharp features and piece-wise smoothing surfaces.
Specifically, we first describe the piecewise constant function spaces
associated with the differential operators on triangular meshes and then show
how to extend the semi-sparsity model to meshes denoising. To verify its
effectiveness, we present an efficient iterative algorithm based on the
alternating direction method of multipliers (ADMM) technique and show the
experimental results on synthetic and real scanning data against the
state-of-the-arts both visually and quantitatively.
