Bijective Composite Mean Value Mappings

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dc.contributor.authorSchneider, Teseoen_US
dc.contributor.authorHormann, Kaien_US
dc.contributor.authorFloater, Michael S.en_US
dc.contributor.editorYaron Lipman and Hao Zhangen_US
dc.date.accessioned2015-02-28T15:51:07Z
dc.date.available2015-02-28T15:51:07Z
dc.date.issued2013en_US
dc.description.abstractWe introduce the novel concept of composite barycentric mappings and give theoretical conditions under which they are guaranteed to be bijective. We then focus on mean value mappings and derive a simple procedure for computing their Jacobians, leading to an efficient GPU-assisted implementation for interactively designing composite mean value mappings which are bijective up to pixel resolution. We provide a number of examples of 2D image deformation and an example of 3D shape deformation based on a natural extension of the concept to spatial mappings.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12180en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.subjectLine and curve generation G.1.1 [Numerical Analysis]en_US
dc.subjectInterpolationen_US
dc.subjectInterpolation formulasen_US
dc.titleBijective Composite Mean Value Mappingsen_US
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32-Issue 5
SGP13: Eurographics Symposium on Geometry Processing (CGF 32-5)