Efficient solution to the 3D problem of automatic wall paintings reassembly
| Autor: | Lena Papazoglou-Manioudaki, Constantin Papaodysseus, Michalis Exarhos, M. Panagopoulos, P. Rousopoulos, Solomon Zannos, Dimitris Arabadjis |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Surface (mathematics)
FOS: Computer and information sciences Mathematics - Differential Geometry Matching (graph theory) Wall paintings reconstruction Computer Vision and Pattern Recognition (cs.CV) Computer Science - Computer Vision and Pattern Recognition Fragmented objects reassembly 3D pattern analysis Geometry 49J40 53A05 68U99 68T10 Position (vector) Modelling and Simulation FOS: Mathematics Pattern matching Representation (mathematics) Mathematics Mean curvature Basis (linear algebra) Process (computing) Computational Mathematics Differential Geometry (math.DG) Computational Theory and Mathematics Modeling and Simulation Algorithm Calculus of variations |
| Zdroj: | Computers & Mathematics with Applications. 64(8):2712-2734 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2012.08.003 |
| Popis: | This paper introduces a new approach for the automated reconstruction- reassembly 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 importantly, in the virtual reassembling of parts of wall paintings belonging to the Mycenaic civilization (c.1300 BC.), excavated in a highly fragmented condition in Tyrins, Greece |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect