title: Directional lapped transforms for image coding.
abstract: 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.
authors.affiliation: Institute of Image Communication and Information Processing, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China. jzxu@microsoft.com
authors.forename: Jizheng
authors.initials: J
authors.lastname: Xu
authors.forename: Feng
authors.initials: F
authors.lastname: Wu
authors.forename: Jie
authors.initials: J
authors.lastname: Liang
authors.forename: Wenjun
authors.initials: W
authors.lastname: Zhang