For 3D surface reconstruction, Hexels cut mean Chamfer-distance error by ~28.9% versus memory-matched 2D Gaussian Splatting on DTU, and post the highest mean F1 score among compared methods — including unconstrained 2DGS — on Tanks and Temples
Surface reconstruction is evaluated separately from the novel-view-synthesis comparisons in the matched-memory PSNR note, using Chamfer distance (lower is better) on 15 DTU scans and F1 score (higher is better) on 6 Tanks and Temples surface-reconstruction scenes. The Chamfer comparison is under the same memory-matched-vs-2D Gaussian Splatting setup used elsewhere in the paper: on DTU, the paper's "V3" Hexel variant reports a mean Chamfer distance of 0.978 mm against 1.375 mm for memory-matched 2DGS — a reduction the paper's own abstract states as roughly 28.9% relative (the paper's Table 5 also shows unconstrained 2DGS ahead of Hexels there, at 0.794 mm, with roughly 3× Hexels' peak training VRAM). The F1 comparison is scoped differently: the 31.72% that Hexels' 34.38% is quoted against is 2DGS's unconstrained figure in Table 6 — 2DGS at its best setting, not memory-matched; memory-matched and primitive-matched 2DGS score 22.05% and 21.03% in the same table, so the gap against the budgeted variants is wider. Hexels also beat Triangle Splatting (18.63%) and MeshSplatting (27.13%) in Table 6 — though this note's claim is scoped to the 2DGS comparisons that both source quotes directly ground.
That geometry-quality gains (Chamfer, F1) and rendering-quality gains (PSNR, in the companion notes above) move together is notable: it suggests the hexagonal support and linear color field aren't merely fitting training views more precisely at the expense of underlying geometry, but are reconstructing a more accurate surface too. The paper offers no independent corroboration of either figure yet.
Source
“For surface reconstruction, Hexels achieves 0.978 mm mean Chamfer distance over 15 DTU scans, versus 1.375 mm for 2DGS at the same model-memory budget (Table 5).”
claude-sonnet-5 · Promotion from 10-inbox/raw/2026-10-28-outside-arxiv261037668-honeycomb-surfels-compact-hexagonal-primitives-for.md, 2026-10-28 · raw markdown