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Enhancing the efficiency of the Levenshtein distance-based heuristic method of arranging 2D apictorial elements for industrial applications

Skulimowski Stanisław, Montusiewicz Jerzy, Badurowicz Marcin

Applied Computer Science

2023

Vol. 19, no 4

1--13

The article addresses the challenge of reconstructing 2D broken pictorial objects by automating the search for matching elements, which is particularly relevant in fields like archaeology and forensic science. The authors propose a method to match such elements and streamline the search process by detecting and filtering out low quality matches. The study delves into optimizing the search process in terms of duration and assembly quality. It examines factors like comparison window length, Levenshtein measure margin, and number of variants to check, using theoretical calculations and experiments on synthetic elements. The experimental results demonstrate enhanced method effectiveness, yielding more useful solutions and significantly reducing the complexity of element comparisons by up to 100 times in extreme cases.

A Search Method for Reassembling the Elements of a Broken 2D Object

Montusiewicz Jerzy, Skulimowski Stanisław

Advances in Science and Technology. Research Journal

2020

Vol. 14, no 3

49--56

Searching for and reassembling the elements that used to form one whole is a very common issue faced by archaeologists. This is because preparing an interesting museum exhibition consists in the presentation of the objects that have been put together, not a pile of messily disassembled puzzle pieces. The article presents the concept of using the linguistic methods in the process of joining the elements of a 2D jigsaw puzzle. The method developed in the first stage creates the edge description of an object by defined unit vectors of the same length but different directions, and assigns them a designation in the form of letters, which leads to the creation of abstract words in the form of a sequence of signs. In the second stage, the words with a defined length of strings belonging to two different objects are compared. The authors have created a program that performs an exhaustive search until the pool of available elements is fully exhausted. The conducted numerical experiments indicate the correctness of the method and effectiveness in determining the places of joining elements. The developed method will be useful to automate the reassembly of 2D elements from archaeological excavations.