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Statements

Subject Item
n2:RIV%2F00216224%3A14330%2F12%3A00062683%21RIV13-MSM-14330___
rdf:type
skos:Concept n16:Vysledek
dcterms:description
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.
dcterms:title
Bézier Shell Finite Element for Interactive Surgical Simulation Bézier Shell Finite Element for Interactive Surgical Simulation
skos:prefLabel
Bézier Shell Finite Element for Interactive Surgical Simulation Bézier Shell Finite Element for Interactive Surgical Simulation
skos:notation
RIV/00216224:14330/12:00062683!RIV13-MSM-14330___
n16:predkladatel
n22:orjk%3A14330
n3:aktivita
n21:P
n3:aktivity
P(ED3.2.00/08.0144)
n3:dodaniDat
n9:2013
n3:domaciTvurceVysledku
n19:7777884
n3:druhVysledku
n15:D
n3:duvernostUdaju
n8:S
n3:entitaPredkladatele
n23:predkladatel
n3:idSjednocenehoVysledku
124817
n3:idVysledku
RIV/00216224:14330/12:00062683
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Shell element; Finite elements; Bézier triangle; surgical simulation; deformation modeling
n3:klicoveSlovo
n7:surgical%20simulation n7:Finite%20elements n7:Shell%20element n7:deformation%20modeling n7:B%C3%A9zier%20triangle
n3:kontrolniKodProRIV
[CD93759EA538]
n3:mistoKonaniAkce
Darmstadt
n3:mistoVydani
Darmstadt
n3:nazevZdroje
VRIPHYS 12: 9th Workshop on Virtual Reality Interactions and Physical Simulations
n3:obor
n10:IN
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n4:ED3.2.00%2F08.0144
n3:rokUplatneniVysledku
n9:2012
n3:tvurceVysledku
Golembiovský, Tomáš Duriez, Christian
n3:typAkce
n17:WRD
n3:zahajeniAkce
2012-01-01+01:00
s:numberOfPages
10
n12:doi
10.2312/PE/vriphys/vriphys12/107-116
n6:hasPublisher
Eurographics Association
n13:isbn
9783905673968
n20:organizacniJednotka
14330