Directional lapped transforms for image coding

  • Authors:

  • Jizheng Xu;Feng Wu;Jie Liang;Wenjun Zhang

  • Affiliations:

  • Institute of Image Comm. and Inf. Processing, Dept. of Electronic Eng., Shanghai Jiao Tong Univ., China and Shanghai Key Lab. of Digital Media Processing and Transmissions, Shanghai Jiao Tong Univ ...;Microsoft Research Asia, Beijing, China;School of Engineering Science, Simon Fraser University, Burnaby, BC, Canada;Institute of Image Communication and Information Processing, Shanghai Jiao Tong University, Shanghai, China

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 2010

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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.