EZW data compression method based on random threshold adjustment
A technology of data compression and threshold adjustment, which is applied in the fields of digital video signal modification, electrical components, image communication, etc., can solve the problems of degraded compression quality, degraded signal-to-noise ratio, etc., and achieve higher compression ratio, higher compression ratio, and better restoration effect. Effect
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[0042] The present invention will be further introduced below in conjunction with the accompanying drawings and specific embodiments.
[0043] Embedded zerotree wavelet principle: multi-resolution analysis and wavelet transform, let x∈R,f:x→R and ψ k (x): x→R is a linearly independent function system, then f(x) can be expressed as:
[0044]
[0045] Among them, a k is the expansion coefficient, and V is called the function system {ψ k The spanning space of (x)}:
[0046]
[0047] For example, with integer translations and real binary scales, the square integrable function ψ k Form the set of expansion functions {ψ j,k (x)}:
[0048] The wavelet forward and inverse transform formulas of one-dimensional functions are as follows:
[0049]
[0050]
[0051] where C ψ Satisfying the admissible conditions, formula (3) is the process of finding the expansion coefficient, and formula (4) is a function in the spanning function space. Let the function system {ψ j,k ...
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