AGRELs and BIPs: Metamorphosis as a Bezier curve in the space of polyhedra

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dc.contributor.authorRossignac, Jareken_US
dc.contributor.authorKaul, Anilen_US
dc.date.accessioned2014-10-21T07:31:15Z
dc.date.available2014-10-21T07:31:15Z
dc.date.issued1994en_US
dc.description.abstractThe metamorphosis between two user-specified objects offers an intuitive metaphor for designing animations of deforming shapes. We present a new technique for interactively editing such deformations and for animating them in realtime. Besides the starting and ending shapes, our approach offers easy to use additional control over the deformations. The new Bezier Interpolating Polyhedron (BIP) provides a graphics representation of such a deforming object formulated mathematically as a point describing a Bezier curve in the space of all polyhedra. We replace, in the Bezier formulation, the traditional control points by arbitrary polyhedra and the vector addition by the Minkowski sum. BIPs are composed of Animated GRaphic ELement (AGRELs), which are faces with constant orientation, but with parametrized vertices represented by Bezier curves. AGRELs were designed to efficiently support smooth realtime animation on commercially available rendering hardware. We provide a tested algorithm for automatically computing BIPs from the sequence of control polyhedra and demonstrate its applications to animation design.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume13en_US
dc.identifier.doi10.1111/1467-8659.1330179en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages179-184en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.1330179en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleAGRELs and BIPs: Metamorphosis as a Bezier curve in the space of polyhedraen_US
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