Efficient solution to the 3D problem of automatic wall paintings reassembly

Abstract

This paper, introduces a new approach for the automated reconstructionreassembly of fragmented objects having one surface near to plane, on the basis of the 3D representation of their constituent fragments. The whole process starts by 3D scanning of the available fragments. The obtained representations are properly processed so that they can be tested for possible matches. Next, four novel criteria are introduced, that lead to the determination of pairs of matching fragments. These criteria have been chosen so as the whole process imitates the instinctive reassembling method dedicated scholars apply. The first criterion exploits the volume of the gap between two properly placed fragments. The second one considers the fragments" overlapping in each possible matching position. Criteria 3, 4 employ principles from calculus of variations to obtain bounds for the area and the mean curvature of the contact surfaces and the length of contact curves, which must hold if the two fragments match. The method has been applied, with great success, both in the reconstruction of objects artificially broken by the authors and, most important, in the 2 virtual reassembling of parts of wall-paintings belonging to the Mycenaic civilization (c.1300 BC.), excavated highly fragmented in Tyrins, Greece.

Noncontact restoration of missing parts of stone Buddha statue based on three-dimensional virtual modeling and assembly simulation

“…The assembly simulation using the design mockup was the most focused stage in the whole restoration process. Generally, virtual assembly simulation is widely used in medical and industrial fields to evaluate the impact of surface interference in advance [58], and virtual assembly based on various algorithms is used in the field of cultural heritage [59][60][61][62][63]. However, virtual assembly has its limitations when applied to the stone Buddha statue, the study object, whose joining surface is nonstructured and complicated.…”

Non-contact restoration of missing parts of stone Buddha statue based on three-dimensional virtual modeling and assembly simulation

“…The assembly simulation using the design mock-up was the most focused stage in the whole restoration process. In general, virtual assembly simulation is widely used in medical and industrial elds to evaluate the impact of surface interference in advance [41], and virtual assembly based on various algorithms is used in the eld of cultural heritage [42][43][44][45][46]. However, virtual assembly has its limitations when applied to the stone Buddha statue, the study object, whose joining surface is non-structured and complicated.…”

Non-contact restoration of missing parts of stone Buddha statue based on three-dimensional virtual modeling and assembly simulation

“…The assembly simulation using the design mockup was the most focused stage in the whole restoration process. Generally, virtual assembly simulation is widely used in medical and industrial elds to evaluate the impact of surface interference in advance [58], and virtual assembly based on various algorithms is used in the eld of cultural heritage [59][60][61][62][63]. However, virtual assembly has its limitations when applied to the stone Buddha statue, the study object, whose joining surface is nonstructured and complicated.…”

“…Recently, several solutions for digital virtual assembly have been widely explored, mainly focused on the development of automatic strategies for matching fragments [64][65][66], measure of the surface pro le [67], fusion of multiple features [68], and alignment using bridges [69]. Thus, state-of-the-art approaches have their weaknesses and strengths according to the application aims.…”