Symmetry Detection in Geometric Models

dc.contributor.authorHruda, Lukáš
dc.date.accessioned2022-11-04T13:19:42Z
dc.date.available2022-11-04T13:19:42Z
dc.date.issued2021
dc.description.abstract-translatedSymmetry occurs very commonly in real world objects as well as in artificially created geometric models. The knowledge about symmetry of a given object can be very useful in many applications in computer graphics and geometry processing, such as compression, object alignment, symmetric editing or completion of partial objects. In order to use the symmetry of any object in any given application, it first needs to be found. In this work, we provide some background about symmetry in general and about different types of symmetry, mainly in 3D objects. Then we focus on the task of automatic symmetry detection in 3D objects and we also describe the link between symmetry detection and the problem of registration. Most importantly, we present our own contribution in these fields. First, we show a new method of evaluating consensus in RANSAC surface registration together with a thorough analysis of various distance metrics for rigid transformations that can be used in this new approach. Afterwards, we provide an analysis of different representations of the space of planes in context of symmetry plane detection. At last, we propose a new, robust, fast and flexible method for symmetry plane detection based on a novel differentiable symmetry measure.en
dc.description.sponsorshipPUNTIS (LO1506), SGS-2019-016cs
dc.format119 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://www.kiv.zcu.cz/cz/vyzkum/publikace/technicke-zpravy/
dc.identifier.urihttp://hdl.handle.net/11025/49883
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.rights© 2021 University of West Bohemiaen
dc.rights.accessopenAccessen
dc.subjectsymetriecs
dc.subjectRANSACcs
dc.subjectdetekcecs
dc.subject3D objektcs
dc.subject.translatedsymmetryen
dc.subject.translatedRANSACen
dc.subject.translateddetectionen
dc.subject.translated3D objecten
dc.titleSymmetry Detection in Geometric Modelsen
dc.typezprávacs
dc.typereporten
dc.type.versionpublishedVersionen

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