Interactive cutting of finite elements based deformable objects in virtual environments [Elektronische Ressource] / vorgelegt von Lenka Jeřábková

Interactive Cutting of Finite Elementsbased Deformable Objects in VirtualEnvironmentsVon der Fakultät fürMathematik, Informatik und Naturwissenschaftender Rheinisch-Westfälischen Technischen Hochschule Aachenzur Erlangung des akademischen Gradeseiner Doktorin der Naturwissenschaften genehmigte Dissertationvorgelegt vonIng.ˇLenka Jerábkováaus Zlín, Tschechische RepublikBerichter: Prof. Christian Bischof, Ph.D.Prof. Dr.-Ing. Matthias TeschnerTag der mündlichen Prüfung: 14.November 2007Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek online verfügbar.ABSTRACTThereisawiderangeofvirtualreality(VR)applicationsthatbenefitfromphysicallybased modeling, such as assembly simulation, robotics, training and teaching (e.g.,medical, military, sports) and entertainment. The dynamics of rigid bodies is wellunderstoodandseveralopensourceaswellascommercialphysicsenginessupportingarticulated rigid bodies and particle systems are available. On the other hand,the simulation of deformable bodies is an objective of current research. The mainapplication areas of deformable objects simulation in computer graphics and VR arethe simulation of cloth and medical simulation. The challenge of VR applications isthe real time simulation requirement. The raising computational power of the lastdecades allowed for adapting selected methods known from engineering sciences forinteractive simulation.