  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.
