CORDE: Cosserat Rod Elements for the Dynamic Simulation of One-Dimensional Elastic Objects

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dc.contributor.authorSpillmann, J.en_US
dc.contributor.authorTeschner, M.en_US
dc.contributor.editorDimitris Metaxas and Jovan Popovicen_US
dc.date.accessioned2014-01-29T07:27:27Z
dc.date.available2014-01-29T07:27:27Z
dc.date.issued2007en_US
dc.description.abstractSimulating one-dimensional elastic objects such as threads, ropes or hair strands is a difficult problem, especially if material torsion is considered. In this paper, we present CORDE(french rope ), a novel deformation model for the dynamic interactive simulation of elastic rods with torsion. We derive continuous energies for a dynamically deforming rod based on the Cosserat theory of elastic rods. We then discretize the rod and compute energies per element by employing finite element methods. Thus, the global dynamic behavior is independent of the discretization. The dynamic evolution of the rod is obtained by numerical integration of the resulting Lagrange equations of motion. We further show how this system of equations can be decoupled and efficiently solved. Since the centerline of the rod is explicitly represented, the deformation model allows for accurate contact and self-contact handling. Thus, we can reproduce many important looping phenomena. Further, a broad variety of different materials can be simulated at interactive rates. Experiments underline the physical plausibility of our deformation model.en_US
dc.description.seriesinformationEurographics/SIGGRAPH Symposium on Computer Animationen_US
dc.identifier.isbn978-3-905673-44-9en_US
dc.identifier.issn1727-5288en_US
dc.identifier.urihttps://doi.org/10.2312/SCA/SCA07/063-072en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism: Animationen_US
dc.titleCORDE: Cosserat Rod Elements for the Dynamic Simulation of One-Dimensional Elastic Objectsen_US
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SCA 07: Eurographics/SIGGRAPH Symposium on Computer Animation