  Recent simulations have shown that asymmetries in the ejecta distribution of
supernova remnants (SNRs) may be a reflection of asymmetries left over from the
initial supernova explosion. Thus, SNR studies provide a vital means for
testing and constraining model predictions in relation to the distribution of
heavy elements, which are key to improving our understanding of the explosion
mechanisms in Type Ia supernovae.
  The use of a novel blind source separation method applied to the megasecond
X-ray observations of the historic Kepler and Tycho supernova remnants has
revealed maps of the ejecta distribution. These maps are endowed with an
unprecedented level of detail and clear separations from the continuum
emission. Our method also provides a three-dimensional (3D) view of the ejecta
by individually disentangling red- and blueshifted spectral components
associated with images of the Si, S, Ar, Ca, and Fe emission. This approach
provides insights into the morphology of the ejecta distribution in those two
remnants.
  Those mappings have allowed us to thoroughly investigate the asymmetries in
the intermediate-mass elements and Fe distribution in two Type Ia supernova
remnants. We also compared the results with the core-collapse Cassiopeia A
remnant, which we had studied previously. The images obtained confirm, as
expected for Type Ia SNRs, that the Fe distribution is mostly closer to the
core than that of intermediate-mass elements. They also highlight peculiar
features in the ejecta distribution, such as the Fe-rich southeastern knot in
Tycho.
