The TCV tokamak offers outstanding variability of the plasma shape. Us
ing x-ray tomography, the shape of the inner flux surfaces of a poloid
al cross section of the plasma can be reconstructed, including fast va
riations due to MHD activity. Both the hardware and the software of th
e 200 channel system developed for TCV are described. A new 'dynamical
' calibration takes actual plasma parameters into account to determine
the spectrum-dependent detector efficiency, resulting in an enhanced
quality of reconstructions. Tomographic inversions are obtained using
a variety of methods such as maximum entropy, linear regularization an
d a newly developed method based on the Fisher information. The merits
of the different algorithms, which have been implemented as MATLAB fu
nctions, are compared. Inversion results are analysed with the help of
singular-value decomposition, allowing, for example, identification o
f MHD modes without using any a priori information on the poloidal mod
e structure. Recent results on the dependence of sawtooth activity on
the plasma triangularity are presented to demonstrate the performance
of the soft x-ray tomography system.