Scale-Invariant Directional Alignment of Surface Parametrizations

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dc.contributor.authorCampen, Marcelen_US
dc.contributor.authorIbing, Moritzen_US
dc.contributor.authorEbke, Hans-Christianen_US
dc.contributor.authorZorin, Denisen_US
dc.contributor.authorKobbelt, Leifen_US
dc.contributor.editorMaks Ovsjanikov and Daniele Panozzoen_US
dc.date.accessioned2016-06-17T14:11:45Z
dc.date.available2016-06-17T14:11:45Z
dc.date.issued2016en_US
dc.description.abstractVarious applications of global surface parametrization benefit from the alignment of parametrization isolines with principal curvature directions. This is particularly true for recent parametrization-based meshing approaches, where this directly translates into a shape-aware edge flow, better approximation quality, and reduced meshing artifacts. Existing methods to influence a parametrization based on principal curvature directions suffer from scale-dependence, which implies the necessity of parameter variation, or try to capture complex directional shape features using simple 1D curves. Especially for non-sharp features, such as chamfers, fillets, blends, and even more for organic variants thereof, these abstractions can be unfit. We present a novel approach which respects and exploits the 2D nature of such directional feature regions, detects them based on coherence and homogeneity properties, and controls the parametrization process accordingly. This approach enables us to provide an intuitive, scale-invariant control parameter to the user. It also allows us to consider non-local aspects like the topology of a feature, enabling further improvements. We demonstrate that, compared to previous approaches, global parametrizations of higher quality can be generated without user intervention.en_US
dc.description.number5en_US
dc.description.sectionheadersParametrization and Volumesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12958en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1-10en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12958en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.titleScale-Invariant Directional Alignment of Surface Parametrizationsen_US
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35-Issue 5
SGP16: Eurographics Symposium on Geometry Processing (CGF 35-5)