Prediction of Star Polygon Types in Islamic Geometric Patterns with Deep Learning

IF 0.7 4区 工程技术 0 ARCHITECTURE Nexus Network Journal Pub Date : 2024-06-17 DOI:10.1007/s00004-024-00789-6
Asli Agirbas, Merve Aydin
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Abstract

Historical buildings in the Eastern world of architecture host many Islamic geometric patterns which are known as mathematically sophisticated patterns regarding their period of creation. This study focuses on the preparation of a model that can be helpful for the analysis and restoration/maintenance of these patterns. For this, a deep learning model to detect and classify star types in Islamic geometric patterns has been proposed, and the trials were evaluated. Accordingly, this study presents a database containing 5-pointed, 6-pointed, 8-pointed and 12-pointed star types. The database consists of 600 Islamic geometric patterns. A mask RCNN algorithm was trained to detect and classify star types using the prepared database. The results of the training indicate that the loss value is 0.90 and the validation loss value is 0.85. The algorithm was tested using images that it had not seen before and the results were evaluated. This paper presents a discussion on the pros and cons of the trained algorithm.

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利用深度学习预测伊斯兰几何图案中的星形多边形类型
在东方建筑世界的历史建筑中,有许多伊斯兰几何图案,就其创作时期而言,这些图案被称为数学上的精密图案。本研究的重点是建立一个有助于分析和修复/维护这些图案的模型。为此,我们提出了一个深度学习模型,用于检测和分类伊斯兰几何图案中的星星类型,并对试验进行了评估。因此,本研究提出了一个包含 5 点、6 点、8 点和 12 点星型的数据库。该数据库由 600 个伊斯兰几何图案组成。使用准备好的数据库对掩码 RCNN 算法进行了训练,以检测和分类星型。训练结果表明,损失值为 0.90,验证损失值为 0.85。该算法使用之前未见过的图像进行了测试,并对结果进行了评估。本文对训练算法的优缺点进行了讨论。
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来源期刊
Nexus Network Journal
Nexus Network Journal HISTORY & PHILOSOPHY OF SCIENCE-
CiteScore
1.10
自引率
20.00%
发文量
53
审稿时长
>12 weeks
期刊介绍: Founded in 1999, the Nexus Network Journal (NNJ) is a peer-reviewed journal for researchers, professionals and students engaged in the study of the application of mathematical principles to architectural design. Its goal is to present the broadest possible consideration of all aspects of the relationships between architecture and mathematics, including landscape architecture and urban design.
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