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  R-symmetry for Triangle Meshes: Detection and Applications

Kalojanov, J. (2017). R-symmetry for Triangle Meshes: Detection and Applications. PhD Thesis, Universität des Saarlandes, Saarbrücken.

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externe Referenz:
http://scidok.sulb.uni-saarland.de/volltexte/2017/6787/ (beliebiger Volltext)
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 Urheber:
Kalojanov, Javor1, Autor           
Slusallek, Philipp2, Ratgeber
Wand, Michael3, Gutachter           
Mitra, Niloy2, Gutachter
Affiliations:
1International Max Planck Research School, MPI for Informatics, Max Planck Society, ou_1116551              
2External Organizations, ou_persistent22              
3Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Zusammenfassung: In this thesis, we investigate a certain type of local similarities between geometric shapes. We analyze the surface of a shape and find all points that are contained inside identical, spherical neighborhoods of a radius r. This allows us to decompose surfaces into canonical sets of building blocks, which we call microtiles. We show that the microtiles of a given object can be used to describe a complete family of related shapes. Each of these shapes is locally similar to the original, meaning that it contains identical r-neighborhoods, but can have completely different global structure. This allows for using r-microtiling for inverse modeling of shape variations and we develop a method for shape decomposi tion into rigid, 3D manufacturable building blocks that can be used to physically assemble shape collections. We obtain a small set of constructor pieces that are well suited for manufacturing and assembly by a novel method for tiling grammar simplification: We consider the connection between microtiles and noncontext-free tiling grammars and optimize a graph-based representation, finding a good balance between expressiveness, simplicity and ease of assembly. By changing the objective function, we can re-purpose the grammar simplification method for mesh compression. The microtiles of a model encode its geometrically redundant parts, which can be used for creating shape representations with minimal memory footprints. Altogether, with this work we attempt to give insights into how rigid partial symmetries can be efficiently computed and used in the context of inverse modeling of shape families, shape understanding, and compression.

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Sprache(n): eng - English
 Datum: 20162017-01-312017-03-032017
 Publikationsstatus: Erschienen
 Seiten: 94 p.
 Ort, Verlag, Ausgabe: Saarbrücken : Universität des Saarlandes
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: BibTex Citekey: Kalojanovphd2017
 Art des Abschluß: Doktorarbeit

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