A novel image compression algorithm based on the biorthogonal invariant set multiwavelet

Yongjun Li; Yunsong Li; Weijia Liu

doi:10.1117/12.2180767

21 May 2015 A novel image compression algorithm based on the biorthogonal invariant set multiwavelet

Yongjun Li, Yunsong Li, Weijia Liu

Proceedings Volume 9501, Satellite Data Compression, Communications, and Processing XI; 950105 (2015) https://doi.org/10.1117/12.2180767
Event: SPIE Sensing Technology + Applications, 2015, Baltimore, MD, United States

Abstract

On the basis of the theory of the biorthogonal invariant set multiwavelets (BISM) which is established by Micchelli and Xu, a biorthogonal invariant set multi-wavelets (BISM) filter is designed and the algorithms of decomposition and reconstruction of this filter are given in this paper, and it has many characteristics, such as symmetry, compact support, orthogonality and low complexity. In this filter, the self-affine triangle domain is as support interval, and constant function is as scaling function. Advantages such as low algorithm complexity, the energy and entropy in high concentration after transformation, no blocking effect to facilitate parallel computing are analyzed when the biorthogonal invariant sets multiwavelet (BISM) filters are used image compression. Finally, the validity of image compression algorithm based on biorthogonal invariant set multiwavelet is verified by the approximate JPEG2000 framework.

Citation Download Citation

Yongjun Li, Yunsong Li, and Weijia Liu "A novel image compression algorithm based on the biorthogonal invariant set multiwavelet", Proc. SPIE 9501, Satellite Data Compression, Communications, and Processing XI, 950105 (21 May 2015); https://doi.org/10.1117/12.2180767

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KEYWORDS

Wavelets

Image compression

Reconstruction algorithms

Image filtering

Image processing

Distributed interactive simulations

Wavelet transforms

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