  This paper presents a novel simplification method for removing vertices from
an intrinsic triangulation corresponding to extrinsic vertices lying on
near-developable (i.e., with limited Gaussian curvature) and general surfaces.
We greedily process all intrinsic vertices with an absolute Gaussian curvature
below a user selected threshold. For each vertex, we repeatedly perform local
intrinsic edge flips until the vertex reaches the desired valence (three for
internal vertices or two for boundary vertices) such that removal of the vertex
and incident edges can be locally performed in the intrinsic triangulation.
Each removed vertex's intrinsic location is tracked via (intrinsic) barycentric
coordinates that are updated to reflect changes in the intrinsic triangulation.
We demonstrate the robustness and effectiveness of our method on the Thingi10k
dataset and analyze the effect of the curvature threshold on the solutions of
PDEs.
