摘要
根据小波滤波器的精确重构条件,推导出Burt-Adelson双正交小波滤波器组的参数表达式。该表达式参数可任意取值,因此能够随意构造具有不同特征的Burt-Adelson小波。作为构造实例,构造出一个新的有理系数Burt-Adelson小波,它具有优化的编码增益。实验表明,其图像压缩性能略低于CDF-9/7小波,但优于JPEG2000标准推荐的7/5小波;而且其提升小波变换的计算效率比CDF-9/7小波高20%以上,也优于7/5小波。
This paper derived the parameter expressions of Burt-Adelson （B-A） biorthogonal wavelet filter bank （FB） family based on the perfect reconstruction condition of FB. By assigning arbitrary real number to this free parameter, any B-A wavelet with different features could be constructed with ease. As an instance, constructed a new rational-coefficient B-A wavelet with optimum coding gain. Simulations show that the new B-A wavelet enjoys the image compression performance slightly inferior to that of the CDF-9/7 wavelet by Cohen, Daubechies, and Feauveau; however surpasses the 7/5 wavelet recommended in JPEG 2000 standard. Moreover its corresponding lifting based discrete wavelet transform （DWT） gains an improvement of computa- tional efficiency up to 20% over the CDF-9/7, superior to 7/5 wavelet also.
出处
《计算机应用研究》
CSCD
北大核心
2008年第10期3078-3080,3084,共4页
Application Research of Computers
基金
江苏省高校自然科学基础研究资助项目(07KJD520005)
常熟理工学院新引进教师科研启动基金资助项目(ky11520)
常熟理工学院青年教师科研启动基金资助项目(ky200657)
关键词
双正交小波
滤波器
离散小波变换
提升
图像编码
biorthogonal wavelet
filter bank
discrete wavelet transform （DWT）
lifting
image coding
