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

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.

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Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).