System and method to determine the location of a catheter

A computer-implemented method for generating current-to-position mapping, CPM, matrices, the method comprising:

• receiving a plurality of historical, sparse CPM matrices and a plurality of historical, supplemented CPM matrices, wherein each historical, sparse CPM matrix is associated with a respective historical, supplemented CPM matrix, each historical, sparse CPM matrix mapping electrical current data to catheter position data at a fewer number of locations than the respective supplemented CPM matrix;
• training a learning system based on a plurality of historical, sparse CPM matrices and the plurality of historical, supplemented CPM matrices, wherein the learning system is trained so as to generate a supplemented CPM matrix given a sparse CPM matrix;
• receiving, by the trained learning system, a new, sparse CPM matrix;
• generating, with the trained learning system, a new supplemented CPM matrix based, in part, on the new, sparse CPM matrix;
• and
• ablating tissue based, at least in part, on the new supplemented CPM matrix.