Radial Symmetry Detection and Shape Characterization with the Multiscale Area Projection Transform

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dc.contributor.authorGiachetti, Andreaen_US
dc.contributor.authorLovato, Christianen_US
dc.contributor.editorEitan Grinspun and Niloy Mitraen_US
dc.date.accessioned2015-02-28T07:44:10Z
dc.date.available2015-02-28T07:44:10Z
dc.date.issued2012en_US
dc.description.abstractWe present a novel method to characterize 3D surfaces through the computation of a function called (multiscale) area projection transform, measuring the likelihood of points in the 3D space to be center of radial symmetry at selected scales (radii). The function is derived through a simple geometric framework based on parallel surfaces and can be easily computed on triangulated meshes. It measures locally the area of the surface well approximated by a sphere of radius R centered in the point and can be normalized in order to obtain a scale invariant radial symmetry enhancement transform. This transform can therefore be used to detect and characterize salient regions like approximately spherical and approximately cylindrical surface parts and, being robust against holes and missing parts, it is suitable for real world applications e.g. anatomical features detection. Furthermore, its histograms can be effectively used to build a global shape descriptor that provides very good results in shape retrieval experiments.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume31
dc.identifier.doi10.1111/j.1467-8659.2012.03172.x
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2012.03172.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectI.2.10 [Computer Graphics]en_US
dc.subjectVision and Scene Understandingen_US
dc.subjectShapeen_US
dc.titleRadial Symmetry Detection and Shape Characterization with the Multiscale Area Projection Transformen_US
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31-Issue 5
SGP12: Eurographics Symposium on Geometry Processing