Geometry Based Faceting of 3D Digitized Archaeological Fragments

ElNaghy, Hanan; Dorst, Leo

doi:10.1109/iccvw.2017.346

Cited by 10 publications

(12 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In practice, the Lipschitz condition appears to intrinsically hold for each of our terracotta fracture facets with a Lipschitz slope of approximately 1. Even if it does not hold, we can always artificially separate the fracture regions by the Faceting preprocessing procedure [9] that delivers the piecewise Lipschitz facets of the fracture region. The fracture surfaces can thus be guaranteed to be locally Lipschitz.…”

Section: The Lipschitz Conditionmentioning

confidence: 99%

“…The test case is on terracotta, which does not deform; but typical fragments are lacking material through abrasion and chipping. Each fragment undergoes a preliminary preprocessing step [9] which partitions its surface into significant sub-parts called 'facets'. Each facet is characterized by its own geometrical properties of the roughness of its surface and the sharpness of its boundary, which in turn guides its categorization as either belonging to the fracture region or outside skin region of the fragment.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Boundary Morphology for Hierarchical Simplification of Archaeological Fragments

ElNaghy

Dorst

2020

Mathematical Morphology - Theory and Applications

Self Cite

View full text Add to dashboard Cite

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].

show abstract

Section: The Lipschitz Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Boundary Morphology for Hierarchical Simplification of Archaeological Fragments

ElNaghy

Dorst

2020

Mathematical Morphology - Theory and Applications

Self Cite

View full text Add to dashboard Cite

show abstract

“…In practice, the Lipschitz condition appears to intrinsically hold for each of our terracotta fractures. Even if it does not hold, we can always artificially separate the fracture regions by the Faceting preprocessing procedure [5] that delivers the piecewise Lipschitz facets of the fracture region. The fracture surfaces, extracted using the Faceting preprocessing operation [5], are locally Lipschitz.…”

Section: Lipschitz Conditionmentioning

confidence: 99%

“…Even if it does not hold, we can always artificially separate the fracture regions by the Faceting preprocessing procedure [5] that delivers the piecewise Lipschitz facets of the fracture region. The fracture surfaces, extracted using the Faceting preprocessing operation [5], are locally Lipschitz. The corresponding Lipschitz principal direction acts as the 'average breakage direction' for the whole fracture facet.…”

Section: Lipschitz Conditionmentioning

confidence: 99%

Complementarity-Preserving Fracture Morphology for Archaeological Fragments

ElNaghy

Dorst

2019

Lecture Notes in Computer Science

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…At present, the fragment reassembling has been of great application value in the fields of cultural relics restoration [1][2] [3] , medical research [4][5][6] [7] and object recognition [8] . An important task in the process of fragment reassembling and repair is to recover the fragments based on the geometric information identifying the region of fracture of the adjacent fragments.…”

Section: Introductionmentioning

confidence: 99%