Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases

Three-dimensional digitization technologies have been proved as reliable methods for detailed and accurate spatial data collection from existing cultural heritage. In addition, the point segmentation techniques are particularly relevant for contour detection and classification of the unstructured po...

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Main Authors: Isidora Đurić, Ratko Obradović, Ivana Vasiljević, Nebojša Ralević, Vesna Stojaković
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/15/7042
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author Isidora Đurić
Ratko Obradović
Ivana Vasiljević
Nebojša Ralević
Vesna Stojaković
author_facet Isidora Đurić
Ratko Obradović
Ivana Vasiljević
Nebojša Ralević
Vesna Stojaković
author_sort Isidora Đurić
collection DOAJ
description Three-dimensional digitization technologies have been proved as reliable methods for detailed and accurate spatial data collection from existing cultural heritage. In addition, the point segmentation techniques are particularly relevant for contour detection and classification of the unstructured point cloud. This paper describes an approach to obtain 2D CAD-like visualizations of complex geometry from photogrammetric models so that the detected contours of particular object elements can be used for 2D shape analysis. The work process uses the point clouds derived from photogrammetric models to create the plane visualization of the object’s geometry by segmenting points based on the verticality geometric feature. The research presented is on the case studies of iconostases as the specific art and architectural elements of the Christian Orthodox church that can be appreciated only in situ. To determine relations between the characteristics of the particular shapes and the iconostases’ style origins, the mathematical method of shape analysis was applied. This study aims to numerically describe the stylistic characteristics of the shapes of the main parts of the iconostasis concerning the artistic period to which it belongs to. The concept was based on the consideration of global shape descriptors and associated shape measurements which were used to analyze and classify the stylistic characteristics of the iconostases. The methodology was applied to the representative examples of three iconostases from the Baroque and Classicism art movements. The results illustrated that the proposed methods and techniques, with certain improvements, could be helpful for CAD visualization and shape analysis of complex geometry.
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spelling doaj.art-915c6fe89f71472b9d2cca220a4eb7282023-11-22T05:23:35ZengMDPI AGApplied Sciences2076-34172021-07-011115704210.3390/app11157042Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of IconostasesIsidora Đurić0Ratko Obradović1Ivana Vasiljević2Nebojša Ralević3Vesna Stojaković4Department of Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, SerbiaDepartment of Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, SerbiaDepartment of Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, SerbiaDepartment of Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, SerbiaDepartment of Architecture and Urban Planning, Faculty of Technical Sciences, University of Novi Sad, 21000 Novi Sad, SerbiaThree-dimensional digitization technologies have been proved as reliable methods for detailed and accurate spatial data collection from existing cultural heritage. In addition, the point segmentation techniques are particularly relevant for contour detection and classification of the unstructured point cloud. This paper describes an approach to obtain 2D CAD-like visualizations of complex geometry from photogrammetric models so that the detected contours of particular object elements can be used for 2D shape analysis. The work process uses the point clouds derived from photogrammetric models to create the plane visualization of the object’s geometry by segmenting points based on the verticality geometric feature. The research presented is on the case studies of iconostases as the specific art and architectural elements of the Christian Orthodox church that can be appreciated only in situ. To determine relations between the characteristics of the particular shapes and the iconostases’ style origins, the mathematical method of shape analysis was applied. This study aims to numerically describe the stylistic characteristics of the shapes of the main parts of the iconostasis concerning the artistic period to which it belongs to. The concept was based on the consideration of global shape descriptors and associated shape measurements which were used to analyze and classify the stylistic characteristics of the iconostases. The methodology was applied to the representative examples of three iconostases from the Baroque and Classicism art movements. The results illustrated that the proposed methods and techniques, with certain improvements, could be helpful for CAD visualization and shape analysis of complex geometry.https://www.mdpi.com/2076-3417/11/15/7042cultural heritagedigitizationphotogrammetry2D visualizationpoint cloudsegmentation
spellingShingle Isidora Đurić
Ratko Obradović
Ivana Vasiljević
Nebojša Ralević
Vesna Stojaković
Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases
Applied Sciences
cultural heritage
digitization
photogrammetry
2D visualization
point cloud
segmentation
title Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases
title_full Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases
title_fullStr Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases
title_full_unstemmed Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases
title_short Two-Dimensional Shape Analysis of Complex Geometry Based on Photogrammetric Models of Iconostases
title_sort two dimensional shape analysis of complex geometry based on photogrammetric models of iconostases
topic cultural heritage
digitization
photogrammetry
2D visualization
point cloud
segmentation
url https://www.mdpi.com/2076-3417/11/15/7042
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AT ivanavasiljevic twodimensionalshapeanalysisofcomplexgeometrybasedonphotogrammetricmodelsoficonostases
AT nebojsaralevic twodimensionalshapeanalysisofcomplexgeometrybasedonphotogrammetricmodelsoficonostases
AT vesnastojakovic twodimensionalshapeanalysisofcomplexgeometrybasedonphotogrammetricmodelsoficonostases