  Multi-connected universe models with space identification scales smaller than
the size of the observable universe produce topological images of cosmic
sources. We generalise to locally hyperbolic spaces the crystallographic
method, aimed to detect the topology from three-dimensional catalogs of
cosmological objects. Our new method is based on the construction of a {\it
collecting-correlated-pair} technique which enhances the topological signature
and can make it detectable. The main idea is that in multi-connected universes,
equal distances occur more often than by chance. We present an idealised
version of this method as well as numerical simulations, we discuss the
statistical relevance of the expected signature and we show how the extraction
of a topological signal may also lead to a precise determination of the
cosmological parameters. A more realistic version of the method which takes
account of uncertainties in the position and velocity data is then discussed.
We apply our technique to presently available data, namely a quasar catalog,
and discuss the significance of the result. We show how the improved
crystallographic method both competes with the two--dimensional methods based
on cosmic microwave background analyses, and suffers from the same drawback:
the shortage of present observational data.
