ElNaghy, HananDorst, LeoJu, Tao and Vaxman, Amir2018-07-082018-07-082018978-3-03868-069-71727-8384https://doi.org/10.2312/sgp.20181179https://diglib.eg.org:443/handle/10.2312/sgp20181179It is computationally expensive to fit the high-resolution 3D meshes of abraded fragments of archaeological artefacts in a collection. Therefore, simplification of fracture surfaces while preserving the fitting essentials is required to guide and structure the whole reassembly process. Features of the scale spaces from Mathematical Morphology (MM) permit a hierarchical approach to this simplification, in a contact-preserving manner, while being insensitive to missing geometry. We propose a new method to focusing MM on the fracture surfaces only, by an embedding that uses morphological duality to compute the desired opening by a closing. The morphological scale space operations on the proposed dual embedding of archaeological fracture surfaces are computed in a distance transform treatment of voxelized meshes.I.3.5 [Computer Graphics]Computational Geometry and Object ModelingBoundary representationsGeometric algorithmslanguagesand systems10.2312/sgp.201811793-4