The application of multi-resolution techniques on the diagnostic x-ray coherent scatter images

A new Gaussian kernel function which called "Accumulating Gaussian kernel" was presented in this paper. The diagnostic x-ray coherent scatter images are a set of patterns of spatial distribution of photon energy, the signal from a coarser scale have to keep the total energy from finer scale. The accumulating Gaussian kernel can decompose the image same as the general Gaussian kernel and transfer the whole energy from finer scale to the coarser scale. In this pyramid scheme the coarser scale provides low frequency coefficients and keeps lossless of energy. So a simple linear scan method along the x-axis was used to describe the energy distribution accurately. With this method, the experimental results of analysis of x-ray coherent scatter are consistent with that got from the standard method.