In the past 20 years the search for neutrinoless double beta decay has driven
many developements in all kind of detector technology. A new branch in this
field are highly-pixelated semiconductor detectors - such as the CdTe-Timepix
detectors. It compromises a cadmium-telluride sensor of 14 mm x 14 mm x 1 mm
size with an ASIC which has 256 x 256 pixel of 55 \textmu m pixel pitch and can
be used to obtain either spectroscopic or timing information in every pixel. In
regular operation it can provide a 2D projection of particle trajectories;
however, three dimensional trajectories are desirable for neutrinoless double
beta decay and other applications. In this paper we present a method to obtain
such trajectories. The method was developed and tested with simulations that
assume some minor modifications to the Timepix ASIC. Also, we were able to test
the method experimentally and in the best case achieved a position resolution
of about 90 \textmu m with electrons of 4.4 GeV.Comment: 10 pages, 15 figure