Convolution Filtering of Continuous Signed Distance Fields for Polygonal Meshes

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dc.contributor.authorSanchez, Mathieuen_US
dc.contributor.authorFryazinov, Olegen_US
dc.contributor.authorFayolle, Pierre‐Alainen_US
dc.contributor.authorPasko, Alexanderen_US
dc.contributor.editorDeussen, Oliver and Zhang, Hao (Richard)en_US
dc.date.accessioned2015-10-12T13:32:49Z
dc.date.available2015-10-12T13:32:49Z
dc.date.issued2015en_US
dc.description.abstractSigned distance fields obtained from polygonal meshes are commonly used in various applications. However, they can have discontinuities causing creases to appear when applying operations such as blending or metamorphosis. The focus of this work is to efficiently evaluate the signed distance function and to apply a smoothing filter to it while preserving the shape of the initial mesh. The resulting function is smooth almost everywhere, while preserving the exact shape of the polygonal mesh. Due to its low complexity, the proposed filtering technique remains fast compared to its main alternatives providing ‐continuous distance field approximation. Several applications are presented such as blending, metamorphosis and heterogeneous modelling with polygonal meshes.Signed distance fields obtained from polygonal meshes are commonly used in various applications. However, they can have discontinuities causing creases to appear when applying operations such as blending or metamorphosis. The focus of this work is to efficiently evaluate the signed distance function and to apply a smoothing filter to it while preserving the shape of the initial mesh. The resulting function is smooth almost everywhere, while preserving the exact shape of the polygonal mesh. Due to its low complexity, the proposed filtering technique remains fast compared to its main alternatives providing ‐continuous distance field approximation. Several applications are presented such as blending, metamorphosis and heterogeneous modelling with polygonal meshes.en_US
dc.description.number6en_US
dc.description.sectionheadersArticlesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume34en_US
dc.identifier.doi10.1111/cgf.12599en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12599en_US
dc.publisherCopyright © 2015 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectgeometric modellingen_US
dc.subjectimplicit surfacesen_US
dc.subjectpolygonal modellingen_US
dc.subjectsigned distance fieldsen_US
dc.subjectdistance functionen_US
dc.subjectI.3.5 [Computer Graphics]: Computational Geometry and Object Modelling—Geometric algorithmsen_US
dc.subjectlanguages and systemsen_US
dc.titleConvolution Filtering of Continuous Signed Distance Fields for Polygonal Meshesen_US
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