One common problem in the practical application of volume visualization is the proper choice of transfer functions in order to color different parts of the volume meaningfully. This interactive process can be very complicated and time consuming. An alternative to the adjustment of transfer functions is the application of segmentation algorithms. These algorithms are often dedicated to a limited range of data sets and tend to be very compute intensive. In this paper we propose a morphology based hierarchical analysis to estimate the optical properties of the volume to be rendered. This approach requires fewer parameters and incorporates also spatial information, but it is far less compute intensive than most of the segmentation methods. The hierarchical analysis is constructed in analogy to the wavelet analysis, except for the fact, that non-linear filters are used in our case. These morphological operators have a lower distortional influence on the analyzed structures than the usual l...