摘要
小波提升格式以计算快速、能形成整数到整数的可逆变换的优势在数字图像压缩领域得到了广泛应用,而如何把适合于图像压缩的第一代小波映射成整数提升格式也成为一个研究问题。本文应用双正交滤波的多相矩阵的多步三角分解,提出不同多相矩阵表示时寻求提升系数的方法,并利用这种方法给出了多相矩阵的行列式不为1的滤波器组的提升格式。
The lifting scheme can obtain the reversible integer wavelet transform and computes fast, so it has been widely used in image compression domain. So how to factor the first generation wavelets which adapt to image compression to the lifting scheme is worth while studying. This paper presents a method of looking for lifting coefficients by using the multi-steps trigonal decomposition of biorthogonal wavelet polyphase matrix, and gives the 1 lifting scheme when the biorthogonal polyphase matrix's determinant is not equal to 1 through this method.
出处
《信号处理》
CSCD
2003年第3期269-273,共5页
Journal of Signal Processing