Surgery Simulation using Fast Finite Elements

Bro-Nielsen, Morten

doi:10.1007/bfb0046994

Cited by 35 publications

(20 citation statements)

References 6 publications

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“…Efforts have primarily focused on improving mechanical fidelity so as to best mimic reality. Some algorithms use, directly, the continuous mechanics equations that are adopted in the field of mechanical engineering, whilst others use the timeconsuming finite element formulation (Bro-Nielsen, 1996). Algorithms that use fewer equations have also been developed, including the boundary element method (James & Pai, 1999) and the mass-tensor method (Cotin et al, 1998), but their computing time still remains high.…”

Section: Soft-tissue Behavior Simulationmentioning

confidence: 99%

Virtual Reality Simulation of Liver Biopsy with a Respiratory Component

Villard¹,

Boshier²,

Bello³

et al. 2011

Liver Biopsy

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Section: Soft-tissue Behavior Simulationmentioning

confidence: 99%

Virtual Reality Simulation of Liver Biopsy with a Respiratory Component

Villard¹,

Boshier²,

Bello³

et al. 2011

Liver Biopsy

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“…In any case there are interesting studies and applications which demonstrate surgery simulations with an acceptable real-time occurrences. Since now modelling deformation in virtual anatomy has been realized by using surface models (Cover et al, 1993), but more recently the volumetric mass-spring models (Kuhn, et al, 1996), the Finite Element models (Bro-Nielsen & Cotin, 1996), and the Fast Finite Element models (Bro-Nielsen, 1996), demonstrate a 3D volumetric deformable patient organs in a more than acceptable real-time modelling. The other key element is the possibility for a doctor to have a force feedback to his/her movements/action.…”

Section: Surgery Simulatormentioning

confidence: 99%

Virtuality Supports Reality for e-Health Applications

Saggio¹,

Pinto²

2010

Virtual Reality

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“…Of notable mention is the work on hepatic surgery simulation by the group at INRIA [BC96,CDA99,BN96]. In [BC96], a precomputation phase is used to condense [Zie77] a linear system of FEM equations to produce a dense boundary-only system of equations which are solved to obtain a set of surface Green's functions, while an iterative method is used in [CDA99].…”

Section: Deformable Objects For Computer Graphics and Hapticsmentioning

confidence: 99%

Multiresolution green's function methods for interactive simulation of large-scale elastostatic objects

James

Pai

2003

ACM Trans. Graph.

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This thesis presents a framework for low-latency interactive simulation of linear elastostatic models and other systems associated with linear elliptic partial differention equations. This approach makes it feasible to interactively simulate large-scale physical models.Linearity is exploited by formulating the boundary value problem (BVP) solution in terms of Green's functions (GFs) which may be precomputed to provide speed and cheap lookup operations. Runtime BVPs are solved using a collection of Capacitance Matrix Algorithms (CMAs) based on the Sherman-Morrison-Woodbury formula. Temporal coherence is exploited by caching and reusing, as well as sequentially updating, previous capacitance matrix inverses.Multiresolution enhancements make it practical to simulate and store very large models. Efficient compressed representations of precomputed GFs are obtained using secondgeneration wavelets defined on surfaces. Fast inverse wavelet transforms allow fast summation methods to be used to accelerate runtime BVP solution. Wavelet GF compression factors are directly related to interactive simulation speedup, and examples are provided with hundredfold improvements at modest error levels. Furthermore, hierarchical constraints are defined using hierarchical basis functions, and related hierarchical GFs are then used to construct an hierarchical CMA. This direct solution approach is suitable for hard real time simulation since it provides a mechanism for gracefully degrading to coarser resolution approximations, and the wavelet representations allow for runtime adaptive multiresolution rendering.These GF CMAs are well-suited to interactive haptic applications since GFs allow random access to solution components and the capacitance matrix is the contact compliance used for high-fidelity force feedback rendering. Examples are provided for distributed and point-like interactions.Precomputed multizone kinematic GF models are also considered, with examples provided for character animation in computer graphics.Finally, we briefly discuss the generation of multiresolution GF models using either numerical precomputation methods or reality-based robotic measurement.ii

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Surgery Simulation using Fast Finite Elements

Abstract: Abstract. This paper describes our recent work on real-time Surgery Simulation using Fast Finite Element models of linear elasticity [1]. In addition we discuss various improvements in terms of speed and realism.

Cited by 35 publications

References 6 publications

Virtual Reality Simulation of Liver Biopsy with a Respiratory Component

Virtual Reality Simulation of Liver Biopsy with a Respiratory Component

Virtuality Supports Reality for e-Health Applications

Multiresolution green's function methods for interactive simulation of large-scale elastostatic objects

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