Electrophysiology Map Construction Using Alpha Shell Point Clouds

The patent divides the continuous surface model into discrete triangular elements through Delaunay triangulation, creating a segmented representation that enables efficient computation. By segmenting the mapping process into discrete triangular regions, the system can process and render electrophysiological data in manageable units rather than attempting continuous processing, thus reducing computational time while maintaining accuracy within each triangular element.

The patent creates a simplified computational copy of the surface model using alpha shell geometry, which replicates the essential topological features without requiring full geometric fidelity. This copied representation allows for rapid interpolation and mapping operations to be performed on the simplified structure, then transferred back to the original model for visualization, significantly reducing computational resource usage while preserving mapping accuracy.

The patent performs Delaunay triangulation on the measurement points beforehand to create a pre-computed triangular mesh structure. This preliminary action establishes the triangulation framework in advance, so that during the actual mapping process, the system only needs to perform simple lookups and interpolations within the pre-defined triangular elements, rather than recalculating triangulations for each location data point, thus reducing computational complexity while maintaining precision.

The patent applies interpolation only within the boundaries of the pre-computed triangular elements rather than performing exhaustive calculations across the entire surface for each point. By limiting the interpolation scope to partial regions (individual triangles) that contain the query points, the system achieves sufficient precision with reduced computational effort, avoiding excessive action while maintaining necessary accuracy.