Interpolation of dynamic three-dimensional maps

An electrophysiology apparatus, comprising:

• a display screen;
• and
• a controller having a processor, the controller configured to:
• acquire at an initial time an initial set of electrical signals from the tissue at selected positions in a heart of a subject, the electrical signals being representative of tissue conductivity;
• determine, based on the electrical signals in the initial set, respective initial local values of a local activation time (LAT) of a signal propagation metric at the selected positions for an initial time;
• spatially interpolate the initial local values of the signal propagation metric between the selected positions to determine initial interpolated values of the signal propagation metric at intermediate positions, between the selected positions, for the initial time;
• acquire at a subsequent time a subsequent set of electrical signals from the tissue at the selected positions;
• determine, based on the electrical signals in the subsequent set, respective subsequent local values of the LAT at the selected positions for a subsequent time;
• spatially interpolate the subsequent local values of the LAT between the selected positions to determine subsequent interpolated values of the signal propagation metric at the intermediate positions, for the subsequent time;
• generate an initial static frame based on the initial local values and the initial interpolated values;
• generate a subsequent static frame based on the subsequent local values and the subsequent interpolated values;
• generate dynamic frames based on the initial and subsequent static frames in accordance with a rate of static frame generation, including providing a visual indication in the dynamic frames when a subsequent interpolated value exceeds a bound defined by the rate of static frame generation unless first and second conditions are satisfied, wherein the bound is exceeded when a difference between an initial interpolated value of an intermediate position of the initial time and a subsequent interpolated value at the same intermediate position of the subsequent time exceeds the rate of static frame generation, wherein the first condition includes a determination for a time between the initial time and the subsequent time of an interpolated value that is between the initial interpolated value and the subsequent interpolated value, and the second condition includes a determination of a sufficient time difference between the initial time and the subsequent time;
• and
• energize an ablation electrode to ablate tissue at a location of the heart to alter the tissue conductivity at the location based on the dynamic frames.