Stages of analysis
Image -> its topology graph -> one of the possible topologies
Having the topology graph isn’t enough for the complete analysis of the image. It provides all possible topologies in the image, but we have to choose only one. This is to be done by the user based on his criteria of what is noise:
Some of the principal cycles will have to be discarded by the user. The remaining ones will represent the simplified topology of the image and, accordingly, we have the simplified topology graph. Ideally, the remaining cycles of the same dimension shouldn't contain each other, see Objects in gray scale images.
See also Filtering output data.