Reversible transform for lossy and lossless 2-D data compression
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United States of America Patent
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Dec 30, 2008
Grant Date -
Jun 22, 2006
app pub date -
Dec 17, 2004
filing date -
Dec 17, 2004
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Abstract
A 2D transform and its inverse have an implementation as a sequence of lifting steps arranged for reduced computational complexity (i.e., reducing a number of non-trivial operations). This transform pair has energy compaction properties similar to the discrete cosine transform (DCT), and is also lossless and scale-free. As compared to a separable DCT transform implemented as 1D DCT transforms applied separably to rows and columns of a 2D data block, the transforms operations are re-arranged into a cascade of elementary transforms, including the 2.times.2 Hadamard transform, and 2.times.2 transforms incorporating lifting rotations. These elementary transforms have implementations as a sequence of lifting operations.
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