Mihalis Panagopoulos

Identifying the writer of ancient inscriptions and Byzantine codices. A novel approach

In this paper, a novel methodology is presented aiming at the automatic identification of the writer of ancient inscriptions and Byzantine codices. This identification can offer unambiguous dating of these ancient manuscripts. The introduced methodology is also applicable to contours of complexes of letters or any class of similar curves. The method presented here initially estimates the normalized curvature at each pixel of a letter contour. Subsequently, it performs pair-wise comparisons of the curvatures sequences that correspond to two realizations of the same alphabet symbol. Then, it introduces a new Proposition that, on the basis of the previous results, offers a closed solution to the problem of matching two equinumerous digital contours in the Least Squares sense. Next, a criterion is employed quantifying the similarity of two realizations of the same alphabet symbol. Finally, a number of statistical criteria are introduced for the automatic identification of the writer of ancient manuscripts. The introduced method did not employ any reference manuscript neither the number of distinct hands who had written the considered set of manuscripts nor any related information whatsoever; it also performs quite efficiently even if a small number of realizations (less than 6) of certain alphabet symbols appear in a tested document. The only a priori knowledge is the alphabet of the language under consideration. We would like to stress that otherwise the method does not depend at all on the language itself. Namely it does not take into account if the alphabet is Latin, Greek, Etruscan, etc. The methodology and the related, developed information system has been applied to 46 ancient inscriptions of the Classical and Hellenistic era and 23 Byzantine codices, offering 100% accurate results, in the sense that the obtained results are in full agreement with prominent scholars in the field of Archaeology, History and Classical Studies.

Geometric templates used in the Akrotiri (Thera) wall-paintings

A research team at Akrotiri, Thera, here examine the Bronze Age frescoes and show that the artists were making use of templates of well known geometric curves. Some of the spirals, hyperbolae and ellipses which all feature in the repertoire do not occur in nature and must have their origin in some still unknown human science or aesthetic.

Automated reconstruction of fragmented objects using their 3D representation - application to important archaeological finds

In this work a new methodology is introduced for the automated reassembling/reconstruction of fragmented objects using their 3D digital representation. The whole process starts by 3D scanning of the available fragments. These are subsequently properly processed and the obtained fragmentspsila 3D images are automatically tested for possible matching, by means of five novel introduced criteria. The first criterion considers the volume of the gap between two properly placed fragments. Two more criteria consider the fragmentspsila overlapping in each possible matching position. Finally, criteria 4, 5 employ principles from calculus of variations to obtain bounds for the area of the contact surfaces and the length of contact curves. The method has been applied with great success both in the reconstruction of an object artificially broken by the authors and, most important, in the virtual reassembling of parts of wall-paintings made before 1100 BC., excavated highly fragmented in Mycenae and Tiryntha, Greece.

A new approach for the identification of writers of important ancient documents

In this paper, a novel approach is introduced for identifying the writer of a document, with special emphasis to paleography. Towards this direction, a mathematical quantity called plane curvature is introduced and a number of associated propositions are stated. Proper similarity measures of two curves are defined and a subsequent statistical analysis is applied. The efficiency of the method has been, first, tested on a public reference database. The methodology has also been applied to the very important problem of classifying 23 Byzantine codices and 46 Ancient inscriptions to their writers, thus achieving correct dating of their content. The inscriptions have been attributed to ten individual hands and the Byzantine codices to four writers. Prominent epigraphologists and classicists fully agree with the obtained classification.

Information System for Graphological Identification

In this paper an automated information system is presented, that classifies scripts to corresponding writers using graphology. The methodology is based on the idea of creating a representative of each alphabet symbol in each script via proper fitting of all realizations of the specific symbol in it. The decision for writer identification is based on pair-wise comparisons of statistical quantities computed for all representatives. The system was applied to ancient Greek inscriptions of classical era which were correctly attributed to 6 different hands.

Determination of the method of drawing of prehistoric wall-paintings via original methods of pattern recognition and image analysis

In this paper a new general methodology is introduced for the determination of the method of construction of prehistoric wall-paintings. The approach consists of algorithms that perform a)preprocessing of the contours of the figures appearing in the wall-paintings, b)determination of pattern repetitions in the contours of the depicted entities, c)classification of these repeated patterns into proper geometric prototypes, d)curve fitting. By means of this methodology, the authors demonstrated that a number of wall-paintings excavated at Mycenae and in Aegean islands, made before the 13th century B.C., were drawn via the use of guides. These stencils - guides were very precise geometric figures and in particular linear spirals and hyperbolae, thus indicating knowledge of constructing these complicated schemes more than 1000 years before the appearance of Classical Age mathematics.

Determination of the mechanoelastic properties of parasites via analysis of their microscopic images

A novel methodology is introduced here that exploits microscopic images of domestic animalspsila parasites in arbitrary deformation instances, so as to verify assumptions about their mechanoelastic properties. The obtained knowledge of these properties manifests parasite body characteristics that are deformation invariant, thus allowing for unwrapping them. Next, we have stated differential equations that govern the parasite body deformation and we have solved them by performing a set of equivalent image operations on the deformed body images. This process furnishes the parasite undeformed version from its deformed image. The method has been applied to a dataset of 193 microscopic images of highly deformed parasites. It is demonstrated that different orientations and deformations of the same parasite give rise to practically the same undeformed shape, thus confirming the consistency of the approach.