A Survey of Physically Based Simulation of Cuts in Deformable Bodies

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dc.contributor.authorWu, Junen_US
dc.contributor.authorWestermann, Rüdigeren_US
dc.contributor.authorDick, Christianen_US
dc.contributor.editorDeussen, Oliver and Zhang, Hao (Richard)en_US
dc.date.accessioned2015-10-12T13:32:46Z
dc.date.available2015-10-12T13:32:46Z
dc.date.issued2015en_US
dc.description.abstractVirtual cutting of deformable bodies has been an important and active research topic in physically based modelling and simulation for more than a decade. A particular challenge in virtual cutting is the robust and efficient incorporation of cuts into an accurate computational model that is used for the simulation of the deformable body. This report presents a coherent summary of the state of the art in virtual cutting of deformable bodies, focusing on the distinct geometrical and topological representations of the deformable body, as well as the specific numerical discretizations of the governing equations of motion. In particular, we discuss virtual cutting based on tetrahedral, hexahedral and polyhedral meshes, in combination with standard, polyhedral, composite and extended finite element discretizations. A separate section is devoted to meshfree methods. Furthermore, we discuss cutting‐related research problems such as collision detection and haptic rendering in the context of interactive cutting scenarios. The report is complemented with an application study to assess the performance of virtual cutting simulators.Virtual cutting of deformable bodies has been an important and active research topic in physically based modelling and simulation for more than a decade. A particular challenge in virtual cutting is the robust and efficient incorporation of cuts into an accurate computational model that is used for the simulation of the deformable body. This report presents a coherent summary of the state of the art in virtual cutting of deformable bodies, focusing on the distinct geometrical and topological representations of the deformable body, as well as the specific numerical discretizations of the governing equations of motion. In particular, we discuss virtual cutting based on tetrahedral, hexahedral and polyhedral meshes, in combination with standard, polyhedral, composite and extended finite element discretizations. A separate section is devoted to meshfree methods. Furthermore, we discuss cutting‐related research problems such as collision detection and haptic rendering in the context of interactive cutting scenarios. The report is complemented with an application study to assess the performance of virtual cutting simulators.en_US
dc.description.documenttypestar
dc.description.number6en_US
dc.description.sectionheadersArticlesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume34en_US
dc.identifier.doi10.1111/cgf.12528en_US
dc.identifier.urihttp://dx.doi.org/10.1111/cgf.12528en_US
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf12528
dc.publisherCopyright © 2015 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectvirtual cuttingen_US
dc.subjectdeformable bodiesen_US
dc.subjectphysically based modellingen_US
dc.subjectfinite elementsen_US
dc.subjectsurgery simulationen_US
dc.subjectI.3.5 [Computer Graphics]: Computational Geometry and Object Modelling‐Physically based modellingen_US
dc.subjectI.3.7 [Computer Graphics]: Three‐Dimensional Graphics and Realism‐Animationen_US
dc.subjectI.3.8 [Computer Graphics]: Applicationsen_US
dc.titleA Survey of Physically Based Simulation of Cuts in Deformable Bodiesen_US
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