Real Time Local Approximation of Deformations using Rotations

dc.contributor.authorMaillot, Jeromeen_US
dc.date.accessioned2015-02-16T09:52:38Z
dc.date.available2015-02-16T09:52:38Z
dc.date.issued2000en_US
dc.description.abstractAdditional realism can be achieved in computer generated images using smooth and increasingly complex deformations. Though significant effort has been spent on improving these deformations, no general method has been proposed yet to deal with rigid pieces connected to soft objects. This paper proposes a general framework to solve this problem. We will present several types of applications, such as flowing small objects in a deformation field, animating rigid features connected to some deformed object, or smoothly attached limbs to a deforming body. All the calculations presented here can be applied to any type of deformation, provided that the deformation at each point only depends on the point itself. Even though we can directly compute the result for some analytical deformation fields, we will show that a good sampling of the deformation in the area of interest is generally enough. One intermediate result consists of a practical method to find the best rotation that approximates a linear transformation. The proposed method is a superset of the Gram-Schmidt orthonormalization process, and is much easier to compute than global methods based on Taylor series.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume19en_US
dc.identifier.doi10.1111/1467-8659.00435en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages427-436en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00435en_US
dc.publisherBlackwell Publishers Ltd and the Eurographics Associationen_US
dc.titleReal Time Local Approximation of Deformations using Rotationsen_US
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