Title:	Symmetry Detection in Geometric Models
Authors:	Hruda, Lukáš
Issue Date:	2021
Publisher:	University of West Bohemia
Document type:	zpráva report
URI:	https://www.kiv.zcu.cz/cz/vyzkum/publikace/technicke-zpravy/ http://hdl.handle.net/11025/44913
Keywords:	symetrie;zpracování geometrie;3D objekty;detekce roviny symetrie
Keywords in different language:	symmetry;geometry processing;3D objects;symmetry plane detection
Abstract in different language:	Symmetry occurs very commonly in real world objects as well as in artificially createdgeometric models. The knowledge about symmetry of a given object can be very useful inmany applications in computer graphics and geometry processing, such as compression,object alignment, symmetric editing or completion of partial objects. In order to usethe symmetry of any object in any given application, it first needs to be found. In thiswork, we provide some background about symmetry in general and about different typesof symmetry, mainly in 3D objects. Then we focus on the task of automatic symmetrydetection in 3D objects and we also describe the link between symmetry detection and theproblem of registration. Most importantly, we present our own contribution in these fields.First, we show a new method of evaluating consensus in RANSAC surface registrationtogether with a thorough analysis of various distance metrics for rigid transformationsthat can be used in this new approach. Afterwards, we provide an analysis of differentrepresentations of the space of planes in context of symmetry plane detection. At last, wepropose a new, robust, fast and flexible method for symmetry plane detection based on anovel differentiable symmetry measure.
Rights:	© 2021 University of West Bohemia
Appears in Collections:	Zprávy / Reports (KIV)

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