Object Completion using k-Sparse Optimization

We present a new method for the completion of partial globally‐symmetric 3D objects, based on the detection of partial and approximate symmetries in the incomplete input dataset. In our approach, symmetry detection is formulated as a constrained sparsity maximization problem, which is solved efficie...

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Vydané v:	Computer graphics forum Ročník 34; číslo 7; s. 13 - 21
Hlavní autori:	Mavridis, P., Sipiran, I., Andreadis, A., Papaioannou, G.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Oxford Blackwell Publishing Ltd 01.10.2015
Predmet:	3-D graphics Algorithms and object representations Approximation Categories and Subject Descriptors (according to ACM CCS) Computer science Cultural heritage Cultural resources Errors Handles I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Curve I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations Image processing systems Maximization Optimization techniques solid Studies surface Symmetry Three dimensional United States > US
ISSN:	0167-7055, 1467-8659
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Popis
Shrnutí:	We present a new method for the completion of partial globally‐symmetric 3D objects, based on the detection of partial and approximate symmetries in the incomplete input dataset. In our approach, symmetry detection is formulated as a constrained sparsity maximization problem, which is solved efficiently using a robust RANSAC‐based optimizer. The detected partial symmetries are then reused iteratively, in order to complete the missing parts of the object. A global error relaxation method minimizes the accumulated alignment errors and a non‐rigid registration approach applies local deformations in order to properly handle approximate symmetry. Unlike previous approaches, our method does not rely on the computation of features, it uniformly handles translational, rotational and reflectional symmetries and can provide plausible object completion results, even on challenging cases, where more than half of the target object is missing. We demonstrate our algorithm in the completion of 3D scans with varying levels of partiality and we show the applicability of our approach in the repair and completion of heavily eroded or incomplete cultural heritage objects.
Bibliografia:	istex:1031285C1ADA0DAFDBEAFAE4FDE0DFA6855EBF38 ark:/67375/WNG-H69RPBSD-P ArticleID:CGF12741 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
ISSN:	0167-7055 1467-8659
DOI:	10.1111/cgf.12741