Implicit Representation of Inscribed Volumes

dc.contributor.authorSahbaei, Partoen_US
dc.contributor.authorMould, Daviden_US
dc.contributor.authorWyvill, Brianen_US
dc.contributor.editorAydın, Tunç and Sýkora, Danielen_US
dc.date.accessioned2018-11-10T20:56:56Z
dc.date.available2018-11-10T20:56:56Z
dc.date.issued2018
dc.description.abstractWe present an implicit approach for constructing smooth isolated or interconnected 3-D inscribed volumes which can be employed for volumetric modeling of various kinds of spongy or porous structures, such as volcanic rocks, pumice stones, Cancellus bones, liquid or dry foam, radiolarians, cheese, and other similar materials. The inscribed volumes can be represented in their normal or positive forms to model natural pebbles or pearls, or in their inverted or negative forms to be used in porous structures, but regardless of their types, their smoothness and sizes are controlled by the user without losing the consistency of the shapes. We introduce two techniques for blending and creating interconnections between these inscribed volumes to achieve a great flexibility to adapt our approach to different types of porous structures, whether they are regular or irregular. We begin with a set of convex polytopes such as 3-D Voronoi diagram cells and compute inscribed volumes bounded by the cells. The cells can be irregular in shape, scale, and topology, and this irregularity transfers to the inscribed volumes, producing natural-looking spongy structures. Describing the inscribed volumes with implicit functions gives us a freedom to exploit volumetric surface combinations and deformations operations effortlessly.en_US
dc.description.sectionheadersBetween 2.5D and 3D
dc.description.seriesinformationExpressive: Computational Aesthetics, Sketch-Based Interfaces and Modeling, Non-Photorealistic Animation and Rendering
dc.identifier.doi10.1145/3229147.3229164
dc.identifier.isbn978-1-4503-5892-7
dc.identifier.issn2079-8679
dc.identifier.urihttps://doi.org/10.1145/3229147.3229164
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3229147-3229164
dc.publisherACMen_US
dc.titleImplicit Representation of Inscribed Volumesen_US
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