Bézier Shell Finite Element for Interactive Surgical Simulation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F12%3A00062683" target="_blank" >RIV/00216224:14330/12:00062683 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.2312/PE/vriphys/vriphys12/107-116" target="_blank" >http://dx.doi.org/10.2312/PE/vriphys/vriphys12/107-116</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2312/PE/vriphys/vriphys12/107-116" target="_blank" >10.2312/PE/vriphys/vriphys12/107-116</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Bézier Shell Finite Element for Interactive Surgical Simulation

Popis výsledku v původním jazyce

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 betweenthe 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.

Název v anglickém jazyce

Bézier Shell Finite Element for Interactive Surgical Simulation

Popis výsledku anglicky

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 betweenthe 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.

Druh

D - Stať ve sborníku

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

<a href="/cs/project/ED3.2.00%2F08.0144" target="_blank" >ED3.2.00/08.0144: CERIT Scientific Cloud</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

VRIPHYS 12: 9th Workshop on Virtual Reality Interactions and Physical Simulations

ISBN

9783905673968

ISSN

—

e-ISSN

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Počet stran výsledku

10

Strana od-do

107-116

Název nakladatele

Eurographics Association

Místo vydání

Darmstadt

Místo konání akce

Darmstadt

Datum konání akce

1. 1. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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