四元数小波变换在图像处理中的应用  

Application of Quaternion Wavelet Transform in Image Processing

作　　者：柳莲花[1] 丁万山[1] 

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016

出　　处：《电子科技》2010年第4期89-93,共5页Electronic Science and Technology

摘　　要：根据四元小波理论提出了一种新的参数估计方法,用于估计刚体在空间的旋转位置。该方法将四元代数理论与小波变换相结合,推导出基于多分辨率分析的四元小波金字塔。金字塔将二维图像映射到四维空间,其每个层次提供3个相位,利用相位与图像变化之间的线性关系估计空间差距和旋转角度,实现一个自上而下的有效参数估计,从而推广了小波变换的应用。通过物体旋转检测程序对旋转前后的图像进行处理,得到空间变换趋势,证明该理论的可行性。A new parameter estimation method is proposed according to the quatemion wavelet theory to estimate the position of the rotated rigid body. A quaternion wavelet pyramid, based on the multi-resolution ratio analysis, is inferred by combining quatemion algebra with wavelet transform. It projects a two-dimensional image into four-dimensional space. Each level of the pyramid provides three phases to estimate the spatial distance and rotated angles by using the linear relation between QWT phases and image shift, thus a top-down parameter estimation is generated. This extends the application of wavelet transform. A program is designed to detect the rotation of the object and infer its trend of spatial movement by comparing the differences from the two images captured before and after the rotation,which demonstrates the feasibility of the theory.

关 键 词：四元小波变换 小波金字塔 参数估计 光流 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]