Compression of two-dimensional data

A Lempel, J Ziv - IEEE transactions on information theory, 1986 - ieeexplore.ieee.org
Distortion-free compressibility of individual pictures, ie, two-dimensional arrays of data, by
finite-state encoders is investigated. For every individual infinite picture I, a quantity\rho (I) is
defined, called the compressibility of I, which is shown to be the asymptotically attainable
lower bound on the compression ratio that can be achieved for I by any finite-state
information-lossless encoder. This is demonstrated by means of a constructive coding
theorem and its converse that, apart from their asymptotic significance, might also provide …
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Bibliography

  1. Einstein, A., B. Podolsky, and N. Rosen, 1935, “Can quantum-mechanical description of physical reality be considered complete?”, Phys. Rev. 47, 777-780.