# Complementarity-Preserving Fracture Morphology for Archaeological Fragments

## TL;DR

This paper introduces a morphological scale space approach to simplify archaeological fracture surfaces, preserving their complementarity and robustness against abrasion, aiding in fragment fitting analysis.

## Contribution

It presents a novel hierarchical simplification method for fracture surfaces using Lipschitz properties and a new embedding for morphological operations.

## Key findings

- Preserves complementarity of fracture surfaces.
- Insensitive to abrasion effects.
- Effective hierarchical simplification pipeline.

## Abstract

We propose to employ scale spaces of mathematical morphology to hierarchically simplify fracture surfaces of complementarity fitting archaeological fragments. This representation preserves complementarity and is insensitive to different kinds of abrasion affecting the exact fitting of the original fragments. We present a pipeline for morphologically simplifying fracture surfaces, based on their Lipschitz nature; its core is a new embedding of fracture surfaces to simultaneously compute both closing and opening morphological operations, using distance transforms.