Bilateral Maps for Partial Matching

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dc.contributor.authorKaick, Oliver vanen_US
dc.contributor.authorZhang, Haoen_US
dc.contributor.authorHamarneh, Ghassanen_US
dc.contributor.editorHolly Rushmeier and Oliver Deussenen_US
dc.date.accessioned2015-02-28T16:07:17Z
dc.date.available2015-02-28T16:07:17Z
dc.date.issued2013en_US
dc.description.abstractFeature‐driven analysis forms the basis of many shape processing tasks, where detected feature points are characterized by local shape descriptors. Such descriptors have so far been defined to capture regions of interest centred at individual points. Using such regions to compare feature points can be problematic when performing partial shape matching, because the region of interest is typically defined as an isotropic neighbourhood around a point, which does not adapt to the geometry of the shape parts. We introduce the bilateral map, a local shape descriptor whose region of interest is defined by two feature points. Compared to the classical descriptor definition using a single point, the bilateral approach exploits the use of a second point to place more constraints on the selection of the spatial context for feature analysis. This leads to a descriptor where the shape of the region of interest adapts to the context of the two points, making it more refined for shape matching. In particular, we show that our new descriptor is more effective for partial matching, because potentially extraneous regions of the models are selectively ignored owing to the adaptive nature of the bilateral map. This property also renders the bilateral map partially insensitive to topological changes. We demonstrate the effectiveness of the bilateral map for partial matching via several correspondence and retrieval experiments and evaluate the results both qualitatively and quantitatively.Feature‐driven analysis forms the basis of many shape processing tasks, where detected feature points are characterized by local shape descriptors. Such descriptors have so far been defined to capture regions of interest centered at individual points. Using such regions to compare feature points can be problematic when performing partial shape matching, since the region of interest is typically defined as an isotropic neighborhood around a point, which does not adapt to the geometry of the shape parts. We introduce the bilateral map, a local shape descriptor whose region of interest is defined by two feature points. Compared to the classical descriptor definition using a single point, the bilateral approach exploits the use of a second point to place more constraints on the selection of the spatial context for feature analysis.en_US
dc.description.number6
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume32
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12084en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subject3D shape matchingen_US
dc.subjectshape correspondenceen_US
dc.subjectshape descriptoren_US
dc.subject I.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modellingen_US
dc.subjectGeometric algorithmsen_US
dc.subjectlanguages and systemsen_US
dc.titleBilateral Maps for Partial Matchingen_US
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