Image Deblurring with Odd Symmetry Discrete Neumann Boundary Condition

In the work [1], Michael K. NG et al introduced Neumann boundary condition (BC) for blurring models and provided fast algorithms for image deblurring. Whereas only even symmetric discrete Neumann BC was discussed in their paper. We present in this paper odd symmetric discrete Neumann BC for image deblurring and its corresponding diagonalization algorithm as a supplement to their work. Numerical results are given for comparison. Our work could illustrate that discrete approximations of each continuous problem would bring a new level of variety and complexity, often in the boundary conditions.