Sparse Norm Filtering

思路:

  • 均值滤波: $$ \min_{l_i^{\text{new}}}\sum_{j\in N_i}(I_i^{\text{new}}-I_j)^2 $$

  • 利用稀疏范数进行保边滤波:

\[ \min_{l_i^{\text{new}}}\sum_{j\in N_i}|I_i^{\text{new}}-I_j|^p,0<p\leqslant2 \]