APSIPA Transactions on Signal and Information Processing > Vol 5 > Issue 1

Boundary operation of 2D non-separable oversampled lapped transforms

Kosuke Furuya, Niigata University, Japan, furuya@telecom0.eng.niigata-u.ac.jp , Shintaro Hara, Canon Imaging Systems Inc., Japan, Kenta Seino, Niigata University, Japan, Shogo Muramatsu, Niigata University, Japan
 
Suggested Citation
Kosuke Furuya, Shintaro Hara, Kenta Seino and Shogo Muramatsu (2016), "Boundary operation of 2D non-separable oversampled lapped transforms", APSIPA Transactions on Signal and Information Processing: Vol. 5: No. 1, e9. http://dx.doi.org/10.1017/ATSIP.2016.3

Publication Date: 04 Apr 2016
© 2016 Kosuke Furuya, Shintaro Hara, Kenta Seino and Shogo Muramatsu
 
Subjects
 
Keywords
Non-separable oversampled lapped transforms (NSOLTs)Multidimensional filter banksSize-limitationIterative hard thresholding
 

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In this article:
I. INTRODUCTION 
II. REVIEW OF 2D NSOLT 
III. BOUNDARY OPERATION 
IV. EXPERIMENTAL RESULT 
V. CONCLUSION 

Abstract

This paper proposes a boundary operation technique of two-dimensional (2D) non-separable oversampled lapped transforms (NSOLT). The proposed technique is based on a lattice structure consisting of the 2D separable block discrete cosine transform and non-separable redundant support-extension processes. The atoms are allowed to be anisotropic with the oversampled, symmetric, real-valued, compact-supported, and overlapped property. First, the blockwise implementation is developed so that the atoms can be locally controlled. The local control of atoms is shown to maintain perfect reconstruction. This property leads an atom termination (AT) technique as a boundary operation. The technique overcomes the drawback of NSOLT that the popular symmetric extension method is invalid. Through some experimental results with iterative hard thresholding, the significance of AT is verified.

DOI:10.1017/ATSIP.2016.3