Meaning
Digital volume processing relies on discrete grid relations to define how adjacent three-dimensional elements associate across shared faces and edges. A 26-connectivity lattice evaluates all possible neighbors for a central voxel in a three-by-three-by-three cube. This dense evaluation includes the six face-sharing neighbors, twelve edge-sharing neighbors, and eight corner-sharing neighbors.
Sourcing engineers use this model to analyze the tortuosity of porous separators. By accounting for all pathways, the calculation yields realistic paths.
Adjacency Rule
Voxel-based thresholding requires robust definitions of path continuity to avoid false blockages during digital reconstruction. Within a 26-connectivity lattice, two voxels belong to the same pore region if they touch at any boundary element. This liberal boundary rule prevents the artificially high tortuosity calculations that narrower neighborhoods produce.
Numerical simulations of electrolyte transport run faster when the pathway topology avoids artificial disconnects.
Pore Network
Network extraction models utilize this topological definition to skeletonize the void space of lithium-ion batteries. Once a skeleton is defined, the 26-connectivity lattice permits the extraction of throat sizes and chamber volumes. These extracted parameters populate the pore network models that predict cell behavior under fast charging conditions.
Accurate flow paths emerge.
Transport Estimation
Effective transport simulations through the resulting pore structure determine the effective ionic conductivity of the liquid phase. The 26-connectivity lattice minimizes voxel-discretization errors that would otherwise distort the calculated diffusion pathways. It ensures that simulated transport reflects the actual porous medium rather than grid artifacts.
Procurement decisions for electrode materials rely on these transport predictions to select designs with high rate capability.
