摘要
提出了一种设计全相位双正交五株形滤波器组的一般方法.在保证线性相位和完全重建前提下,基于一维IDCT域全相位半带数字滤波器,利用新的全相位钻石形变换核函数和改进的准正交镜像滤波器(QMF)模型,设计了一类新的两通道五株形滤波器组(QFB),称为全相位双正交五株形滤波器组(apbQFB).然后利用apbQFB生成一种新的全相位Contourlet(apContourlet)变换,并详细研究了其在非线性估计和图像降噪方面的应用.数值实验结果表明,apContourlet的非线性估计和图像降噪性能均优于原Contourlet,可见apbQFB方法具有一定的通用性和优越性.
A general method for designing all phase biorthogonal quincunx filter banks(apbQFB) was presented in the paper.To ensure linear phase and perfect reconstruction,based on 1-D IDCT domain all phase half-band digital filter,using a new all phase diamond transformation kernel function and the improved quasi-QMF model,a new class of two-channel quincunx filter bank(QFB),namely all phase biorthogonal quincunx filter banks,was de-signed.Then a new all phase Contourlet(apContourlet) transform was derived using the apbQFB and its applications in nonlinear approximation and image denoising were studied in detail.Numerical experiments show that the perform-ance of nonlinear approximation and image denoising of apContourlet both outperform the original Contourlet,thus the apbQFB method possesses some degree of universality and superiority.
出处
《天津大学学报》
EI
CAS
CSCD
北大核心
2012年第1期87-94,共8页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金资助项目(61002027)
