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A biorthogonal wavelet construction method and application based on Bernstein group

A biorthogonal wavelet and construction method technology, applied in image data processing, television, instruments, etc.

Inactive Publication Date: 2008-07-09
BEIHANG UNIV
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Problems solved by technology

[0007] However, as far as the inventors know, there is no application of the above-mentioned Bernstein basis functions to the construction of biorthogonal wavelets. The present invention proposes a framework for constructing biorthogonal wavelets based on Bernstein bases. On this basis, an image compression-oriented transformation

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  • A biorthogonal wavelet construction method and application based on Bernstein group
  • A biorthogonal wavelet construction method and application based on Bernstein group
  • A biorthogonal wavelet construction method and application based on Bernstein group

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Embodiment 1

[0051] Assuming that the lengths of the low-pass filters at the decomposition and reconstruction ends are 11 and 17 (or 17 and 11), respectively, ψ and The vanishing moments of are 6 and 4 respectively, then the corresponding Bernstein coefficient satisfies the following form:

[0052] d = [1, 1, c, 0, 0, 0]

[0053] D = [ 1 , 1 - 5 14 c + 19 14 , - 15 2 8 c + 12 7 , 10 7 c 2 - 23 7 c + 47 14 ,

[0054] - 625 7 ...

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Abstract

The invention discloses a construction method of biorthogonal wavelet, which is based on Bernstein base and comprises the following steps that: (1) a lowpass filter at a discomposing and reconstructing end is expressed by Bernstein base; (2) numerical calculation of the lowpass filter is carried out; (3) the lowpass filter at the discomposing and reconstructing end is led to meet the conditions to reconstruct the lowpass filter entirely; (4) the parameter of obtained biorthogonal wavelet is calculated. In addition, the invention also provides a method to realize image compression based on the biorthogonal wavelet. Construction of the filter containing parameter that is provided with symmetric odd number length is realized by adopting the invention, thus providing a new way to construct transformation suitable for high-magnification compression of static image.

Description

technical field [0001] The invention relates to a method for constructing a biorthogonal wavelet based on a Bernstein base, and also relates to a method for implementing image compression using a biorthogonal wavelet filter constructed by the method, and belongs to the technical field of digital image processing. Background technique [0002] At present, the image compression method based on wavelet transform is recognized as the best image compression method, and has been adopted by the international standard JPEG2000. In this field, related research can be divided into two categories: the first category is how to make wavelet transform have better transformation characteristics, and the second category is how to effectively encode wavelet domain coefficients. The performance of image compression-oriented transformation depends largely on the energy concentration of wavelet transform. The more energy concentrated in low frequency, the easier to compress the obtained coeffic...

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Application Information

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IPC IPC(8): H04N7/26G06T9/00H04N19/117H04N19/635
Inventor 李波杨小远杨蕤
Owner BEIHANG UNIV
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