Variational Tree Synthesis

dc.contributor.authorWang, Ruien_US
dc.contributor.authorYang, Yinhuien_US
dc.contributor.authorZhang, Hongxinen_US
dc.contributor.authorBao, Hujunen_US
dc.contributor.editorOliver Deussen and Hao (Richard) Zhangen_US
dc.date.accessioned2015-03-03T12:47:00Z
dc.date.available2015-03-03T12:47:00Z
dc.date.issued2014en_US
dc.description.abstractModelling trees according to desired shapes is important for many applications. Despite numerous methods having been proposed in tree modelling, it is still a non‐trivial task and challenging. In this paper, we present a new variational computing approach for generating realistic trees in specific shapes. Instead of directly modelling trees from symbolic rules, we formulate the tree modelling as an optimization process, in which a variational cost function is iteratively minimized. This cost function measures the difference between the guidance shape and the target tree crown. In addition, to faithfully capture the branch structure of trees, several botanical factors, including the minimum total branches volume and spatial branches patterns, are considered in the optimization to guide the tree modelling process. We demonstrate that our approach is applicable to generate trees with different shapes, from interactive design and complex polygonal meshes.Modeling trees according to desired shapes is important for many applications. Despite numerous methods having been proposed in tree modeling, it is still a non‐trivial task and challenging. In this paper, we present a new variational computing approach for generating realistic trees in specific shapes. Instead of directly modeling trees from symbolic rules, we formulate the tree modeling as an optimization process, in which a variational cost function is iteratively minimized. This cost function measures the difference between the guidance shape and the target tree crown.en_US
dc.description.number8
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume33
dc.identifier.doi10.1111/cgf.12402en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12402en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleVariational Tree Synthesisen_US
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