Auditable HITL single-view 3D fractal proxies for Qing blue-and-white porcelain

Blue-and-white porcelain is often discussed through “form–decoration” unity, yet archive-first studies rarely report auditable 3D descriptors from single-view photographs. We present a Human-in-the-Loop (HITL) workflow that outputs traceable paradata, exclusion codes, and projection-derived proxy geometry, bounded by L1–L3 verification and a pre-specified projection-consistency quality gate (IoU > 0.85). Using a box-counting definition, we treat FD as one interpretable indexing feature within a broader auditable workflow, computing decoration-mask complexity (FD 2D ) and projection-derived form-complexity proxies \(\left({{FD}}_{3D}^{{est}}\right)\) , rather than as a uniquely explanatory descriptor or measure of authenticity, esthetic value, or physical reconstruction accuracy. For an algorithmically processable subset of 81 Qing Imperial Kiln specimens, FD 2D and \({\mathrm{FD}}_{3{\rm{D}}}^{\mathrm{est}}\) show a moderate association (Spearman’s ρ = 0.558 (95% CI: 0.402–0.684), p < 0.001), which becomes non-significant controlling for vessel category (partial ρ p = 0.12, p = 0.28). Dynasty differences are evaluated via Kruskal–Wallis H and Mann-Whitney U tests. The workflow provides exploratory indexing evidence for digitized archives.