Tangential Distance Fields for Mesh Silhouette Problems

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dc.contributor.authorOlson, M.en_US
dc.contributor.authorZhang, H.en_US
dc.date.accessioned2015-02-23T09:07:46Z
dc.date.available2015-02-23T09:07:46Z
dc.date.issued2009en_US
dc.description.abstractWe consider a tangent-space representation of surfaces that maps each point on a surface to the tangent plane of the surface at that point. Such representations are known to facilitate the solution of several visibility problems, in particular, those involving silhouette analysis. In this paper, we introduce a novel class of distance fields for a given surface defined by its tangent planes. At each point in space, we assign a scalar value which is a weighted sum of distances to these tangent planes. We call the resulting scalar field a tangential distance field (TDF). When applied to triangle mesh models, the tangent planes become supporting planes of the mesh triangles. The weighting scheme used to construct a TDF for a given mesh and the way the TDF is utilized can be closely tailored to a specific application. At the same time, the TDFs are continuous, lending themselves to standard optimization techniques such as greedy local search, thus leading to efficient algorithms. In this paper, we use four applications to illustrate the benefit of using TDFs: multi-origin silhouette extraction in Hough space, silhouette-based view point selection, camera path planning and light source placement.en_US
dc.description.number1en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume28en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01306.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages84-100en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01306.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleTangential Distance Fields for Mesh Silhouette Problemsen_US
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