Catheter frame pieces used as large single axis sensors
Catheterization of the heart is carried out using a framework formed by a plurality of electrically conducting wire loops. The wire loops are modeled as polygons, each subdivided into a plurality of triangles. The wire loops are exposed to magnetic fluxes at respective frequencies, and signals read from the loops. Theoretical magnetic fluxes in the polygons are computed as sums of theoretical magnetic fluxes in the triangles thereof, The location and orientation of the framework in the heart is determined by relating the computed theoretical magnetic fluxes to the signals.
1. A method, comprising:
inserting a probe into an organ of a living subject, the probe having a distal end having a framework disposed on the distal end, the framework comprising a plurality of electrically conducting wire loops defining a chamber, each of the loops functioning independently as a single-axis magnetic location sensor when subjected to the magnetic field produced by field generating coils, the loops being connected to a magnetic tracking system having a field generating coils disposed around the living subject;
modeling the wire loops as respective polygons;
subdividing the polygons into a plurality of triangles,
identifying local coordinates of the triangles in a local coordinate system; and
transforming the local coordinates of the triangles to coordinates of the magnetic position tracking system;
exposing the wire loops to magnetic fluxes at respective frequencies provided by the field generating coils;
reading signals from the wire loops responsively to the magnetic fluxes at the respective frequencies;
computing the theoretical magnetic fluxes in the polygons as respective sums of theoretical magnetic fluxes in the triangles thereof; and
determining a location and orientation of the framework by relating the computed theoretical magnetic fluxes to the signals and reporting a position and orientation of the probe in the organ.
2. The method according to claim 1 , wherein the polygons comprises hexagons.
3. The method according to claim 2 , wherein transforming the local coordinates is performed by optimizing a cost function.
4. The method according to claim 1 , wherein computing the theoretical magnetic fluxes is based on areas and centroids of the triangles.
5. The method according to claim 1 , wherein modeling the wire loops further comprises applying a first constraint, wherein segments of the triangles of adjacent polygons are required to intersect.
6. The method according to claim 1 , wherein modeling the wire loops further comprises applying a second constraint, wherein a vertex of each triangle of one polygon coincides with a vertex of an adjacent triangle of the one polygon.
7. The method according to claim 1 , wherein modeling the wire loops further comprises applying a third constraint, wherein adjacent polygons contact one another at exactly two points.
8. The method according to claim 1 , wherein the loops comprise three to eight loops.
9. The method according to claim 1 , wherein the loops comprise six to seven loops.
10. The method according to claim 1 , wherein the loops form spirals about an axis.
11. The method according to claim 1 , wherein the wire loops are deformable, further comprising deploying the framework through a lumen of the probe.
12. The method according to claim 1 , wherein one of the loops contacts at least another one of the loops.