Hybrid Function Representation with Distance Properties

dc.contributor.authorTereshin, Alexanderen_US
dc.contributor.authorAdzhiev, Valeryen_US
dc.contributor.authorFryazinov, Olegen_US
dc.contributor.authorPasko, Alexanderen_US
dc.contributor.editorCignoni, Paolo and Miguel, Ederen_US
dc.date.accessioned2019-05-05T17:49:43Z
dc.date.available2019-05-05T17:49:43Z
dc.date.issued2019
dc.description.abstractThis paper describes a novel framework allowing for a hybrid representation of heterogeneous objects. We consider advantages and drawbacks of the conventional representations based on scalar fields of different kinds. The main result is introducing a hybrid representation called Hybrid Function Representation (HFRep) that preserves the advantages of the Function Representation (FRep) and Signed Distance Fields (SDFs) without their drawbacks. This new representation allows for obtaining a continuous smooth distance field in the Euclidean space for the FRep. We present the mathematical basics for our approach that uses the Discrete Distance Transform (DDT) and a step-function. The procedure for generation HFRep using continuous interpolation and smoothing techniques are also described. A few examples show how the approach works in practice.en_US
dc.description.sectionheadersGeometry Processing
dc.description.seriesinformationEurographics 2019 - Short Papers
dc.identifier.doi10.2312/egs.20191004
dc.identifier.issn1017-4656
dc.identifier.pages17-20
dc.identifier.urihttps://doi.org/10.2312/egs.20191004
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/egs20191004
dc.publisherThe Eurographics Associationen_US
dc.subjectShape modelling
dc.subjectVolumetric models
dc.titleHybrid Function Representation with Distance Propertiesen_US
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