Boundary Morphology for Hierarchical Simplification of Archaeological Fragments

Abstract

When fitting archaeological artifacts, one would like to have a representation that simplifies fragments while preserving their complementarity. In this paper, we propose to employ the scale-spaces of mathematical morphology to hierarchically simplify potentially fitting fracture surfaces. We study the masking effect when morphological operations are applied to selected subsets of objects. Since fitting locally depends on the complementarity of fractures only, we introduce ‘Boundary Morphology’ on surfaces rather than volumes. Moreover, demonstrating the Lipschitz nature of the terracotta fractures informs our novel extrusion method to compute both closing and opening operations simultaneously. We also show that in this proposed representation the effects of abrasion and uncertainty are naturally bounded, justifying the morphological approach. This work is an extension of our contribution earlier published in the proceedings of ISMM2019 [10].

Pairwise Alignment of Archaeological Fragments Through Morphological Characterization of Fracture Surfaces

“…We follow the Boundary Morphology framework presented in (ElNaghy and Dorst, 2020) and compute the distance function on a discrete grid, with one axis aligned with the Lipschitz principal direction of the facet (see Fig. 2).…”

Geometric Back-propagation in Morphological Neural Networks

“…Even outside the scope of neural networks, morphology is used to encode rich computational features that are useful in a variety of contact-related tasks: [17] encodes surfaces of fractured archaeological objects into a set of morphological features with the goal of automatically fitting fragments;…”