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  • There is a strong need, in surgical simulations, for physically based deformable model of thin or hollow structures. The use of shell theory allows to have a well-founded formulation resulting from continuum mechanics of thin objects. However, this formulation asks for second order spatial derivatives so requires the use of complex elements. In this paper, we present a new way of building the interpolation: First, we use the trianular cubic Bézier shell to allow for a good continuity inside and between the elements and second, we build a kinematic mapping to reduce the degrees of freedom of the element from 10 control points with 3 Degrees of Freedom (= 30 DOFs) to only 3 nodes with 6 DOFs (= 18 DOFs). This reduction allows for good computation performance. This new shell model description is also used to map a smooth surface (for the collision detection and response) on a coarse mechanical mesh to account for the complex contacts that take place during surgical procedures.
  • There is a strong need, in surgical simulations, for physically based deformable model of thin or hollow structures. The use of shell theory allows to have a well-founded formulation resulting from continuum mechanics of thin objects. However, this formulation asks for second order spatial derivatives so requires the use of complex elements. In this paper, we present a new way of building the interpolation: First, we use the trianular cubic Bézier shell to allow for a good continuity inside and between the elements and second, we build a kinematic mapping to reduce the degrees of freedom of the element from 10 control points with 3 Degrees of Freedom (= 30 DOFs) to only 3 nodes with 6 DOFs (= 18 DOFs). This reduction allows for good computation performance. This new shell model description is also used to map a smooth surface (for the collision detection and response) on a coarse mechanical mesh to account for the complex contacts that take place during surgical procedures. (en)
Title
  • Bézier Shell Finite Element for Interactive Surgical Simulation
  • Bézier Shell Finite Element for Interactive Surgical Simulation (en)
skos:prefLabel
  • Bézier Shell Finite Element for Interactive Surgical Simulation
  • Bézier Shell Finite Element for Interactive Surgical Simulation (en)
skos:notation
  • RIV/00216224:14330/12:00062683!RIV13-MSM-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED3.2.00/08.0144)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 124817
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/12:00062683
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Shell element; Finite elements; Bézier triangle; surgical simulation; deformation modeling (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [CD93759EA538]
http://linked.open...v/mistoKonaniAkce
  • Darmstadt
http://linked.open...i/riv/mistoVydani
  • Darmstadt
http://linked.open...i/riv/nazevZdroje
  • VRIPHYS 12: 9th Workshop on Virtual Reality Interactions and Physical Simulations
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Golembiovský, Tomáš
  • Duriez, Christian
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
http://bibframe.org/vocab/doi
  • 10.2312/PE/vriphys/vriphys12/107-116
http://purl.org/ne...btex#hasPublisher
  • Eurographics Association
https://schema.org/isbn
  • 9783905673968
http://localhost/t...ganizacniJednotka
  • 14330
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