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Directional Lapped Transforms for Image Coding

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4 Author(s)
Jizheng Xu ; Dept. of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai, China ; Feng Wu ; Jie Liang ; Wenjun Zhang

In this paper, we present the design of directional lapped transforms for image coding. A lapped transform, which can be implemented by a prefilter followed by a discrete cosine transform (DCT), can be factorized into elementary operators. The corresponding directional lapped transform is generated by applying each elementary operator along a given direction. The proposed directional lapped transforms are not only nonredundant and perfectly reconstructed, but they can also provide a basis along an arbitrary direction. These properties, along with the advantages of lapped transforms, make the proposed transforms appealing for image coding. A block-based directional transform scheme is also presented and integrated into HD Phtoto, one of the state-of-the-art image coding systems, to verify the effectiveness of the proposed transforms.

Published in:

IEEE Transactions on Image Processing  (Volume:19 ,  Issue: 1 )