<title>Topological fidelity in surface reconstruction</title>

Abstract

In surface reconstruction a mathematical description is created from sampled data points. While the displayed image may appear to be correct, there remains the analytical question as to whether it can be proven that the stored surface model and the original artifact have the same topology. Previous approaches to investigate all possible topological configurations were cumbersome and offered little insight as to how those topological configurations were generated. An alternative algorithm is offered, where the mathematics of the algorithm does offer insight into the structure of these configurations.