Affine shear tight frames with 2-layer structure in arbitrary dimensions are constructed. Affine shear filter banks with 2-layer structure associated with affine shear tight frames with 2-layer structure are designed and show to be with the perfect reconstruction property. The redundancy rate and computational complexity of affine shear filter banks are discussed. Applications to video denoising are conducted to demonstrate the effectiveness of the affine shear filter banks with 2-layer structure.
"Affine shear tight frames with two-layer structure", Proc. SPIE 10394, Wavelets and Sparsity XVII, 1039422 (24 August 2017); doi: 10.1117/12.2272398; https://doi.org/10.1117/12.2272398