一种用于图像编码的双正交插值小波

针对CDF-9／7小波滤波器系数是无理数的缺点，利用小波滤波器的精确重构条件，构造一类仅用一个自由参数表达的双正交插值小波。通过调整自由参数构造一种具有最佳编码增益和二进制（形如k／2^n，t，n∈Z的数）系数的插值小波。实验表明其图像压缩性能与CDF-9／7小波相当，小波变换的计算效率提高50％以上。

Biorthogonal Interpolating Wavelet for Image Coding

Aiming at the disadvantage of the state-of-the-art CDF-9/7 wavelet that its filter coefficients are irrational, a class of Biorthogonal Interpolating Wavelets(BIW) parameterized by one free parameter is constructed based on the perfect reconstruction of the wavelet filter bank. By adjusting the free parameter, a new BIW is obtained, which has the advantages of both optimum coding gain and binary filter coefficients (numbers of the form ). Simulations show that the new wavelet exhibits image compression performance competitive to CDF-9/7, and the corresponding lifting based Discrete Wavelet Transform(DWT) gains improvement upon computing efficiency superior to 50%.