TY - GEN
T1 - Image restoration with union of directional orthonormal DWTs
AU - Muramatsu, Shogo
AU - Aizawa, Natsuki
AU - Yukawa, Masahiro
PY - 2012
Y1 - 2012
N2 - This work proposes to apply directional lapped orthogonal transforms to image restoration. A DirLOT is an orthonormal transform of which basis is allowed to be anisotropic with the symmetric, real-valued and compact-support property. In this work, DirLOTs are used to generate symmetric orthonormal discrete wavelet transforms and then a redundant dictionary as a union of unitary transforms. The multiple directional property is suitable for representing natural images which contain diagonal edges and textures. The performances of deblurring, super-resolution and inpainting are evaluated for several images with the iterative-shrinkage/thresholding algorithm. It is verified that the proposed dictionary yields comparable or superior restoration performance to the non-subsampled Haar transform.
AB - This work proposes to apply directional lapped orthogonal transforms to image restoration. A DirLOT is an orthonormal transform of which basis is allowed to be anisotropic with the symmetric, real-valued and compact-support property. In this work, DirLOTs are used to generate symmetric orthonormal discrete wavelet transforms and then a redundant dictionary as a union of unitary transforms. The multiple directional property is suitable for representing natural images which contain diagonal edges and textures. The performances of deblurring, super-resolution and inpainting are evaluated for several images with the iterative-shrinkage/thresholding algorithm. It is verified that the proposed dictionary yields comparable or superior restoration performance to the non-subsampled Haar transform.
KW - DirLOT
KW - deblurring
KW - inpainting
KW - iterative-shrinkage/thresholding algorithm
KW - sparse representation
KW - super-resolution
UR - http://www.scopus.com/inward/record.url?scp=84874415910&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84874415910&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84874415910
SN - 9780615700502
T3 - 2012 Conference Handbook - Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2012
BT - 2012 Conference Handbook - Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2012
T2 - 2012 4th Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2012
Y2 - 3 December 2012 through 6 December 2012
ER -