
1.6 Fidelity Metrics 17
do not require valid topology in the initial mesh, which greatly increases their util-
ity in real-world CAD applications. Some topology-modifying algorithms attempt to
regulate the change in topology, but many are
topology-insensitive,
paying no heed to
the initial mesh connectivity at all.
As a rule, topology-preserving algorithms work best when visual fidelity is crucial,
or with an application such as finite element analysis, in which surface topology can
affect results. Preserving topology also simplifies some applications, such as multires-
olution surface editing, which require a correspondence between high- ...