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A Method for Determining the Shape Similarity of Complex Three-Dimensional Structures to Aid Decay Restoration and Digitization Error Correction
Roberto Pierdicca1  Iva Vasic1  Ramona Quattrini1  Bata Vasic2  Emanuele Frontoni3 
[1] Department of Civil and Building Engineering and Architecture (DICEA), Università Politecnica delle Marche, 60131 Ancona, Italy;Faculty of Electronic Engineering, University of Nis, 18000 Nis, Serbia;VRAI Lab, Università di Macerata, 62100 Macerata, Italy;
关键词: 3D geometry;    AR;    cultural heritage;    digitization errors;    preservation;    restoration;   
DOI  :  10.3390/info13030145
来源: DOAJ
【 摘 要 】

This paper introduces a new method for determining the shape similarity of complex three-dimensional (3D) mesh structures based on extracting a vector of important vertices, ordered according to a matrix of their most important geometrical and topological features. The correlation of ordered matrix vectors is combined with perceptual definition of salient regions in order to aid detection, distinguishing, measurement and restoration of real degradation and digitization errors. The case study is the digital 3D structure of the Camino Degli Angeli, in the Urbino’s Ducal Palace, acquired by the structure from motion (SfM) technique. In order to obtain an accurate, featured representation of the matching shape, the strong mesh processing computations are performed over the mesh surface while preserving real shape and geometric structure. In addition to perceptually based feature ranking, the new theoretical approach for ranking the evaluation criteria by employing neural networks (NNs) has been proposed to reduce the probability of deleting shape points, subject to optimization. Numerical analysis and simulations in combination with the developed virtual reality (VR) application serve as an assurance to restoration specialists providing visual and feature-based comparison of damaged parts with correct similar examples. The procedure also distinguishes mesh irregularities resulting from the photogrammetry process.

【 授权许可】

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