Up to now a wavelet transformation based method has been investigated, in order to reduce noise in the reconstructed slices. In contrast to other common methods for noise reduction the algorithm takes two or more datasets as its input. The input images are spatially identical but taken at different points in time, leading to uncorrelated noise in the images. Such data can for example be generated by separate reconstruction each with only every second projection. Correlation analysis based on the input images or rather their wavelet-representation allow the differentiation between structure and noise.

Several two-dimensional Wavelet transformations (dyadic, stationary, à-trous and quin-cunx) as well as different Wavelets were used for the local frequency analysis and compared to each other. Furthermore, different methods for correlation analysis were investigated. The methods were evaluated with respect to their achieved noise reduction rate and the preservation of edges.

In order to achieve an anisotropic noise reduction, the wavelet coefficients need to be analyzed direction dependent. Therefore, a new method was developed for estimating the standard deviation of noise from the differences of the wavelet coefficients of the separately reconstructed images. The so computed direction dependent weights allow an anisotropic denoising. Furthermore, the method was extended to work in 3D. This resulted in improved image quality, visually and quantitatively.

This project is financed by Siemens Medical Solutions. On one hand the close cooperation enables a knowledge transfer concerning state-of-the-art research and on the other hand it provides access to the newest generation of medical devices.