ACM SIGGRAPH 2005 Courses on - SIGGRAPH '05 2005
DOI: 10.1145/1198555.1198614
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A unified treatment of elastostatic contact simulation for real time haptics

Abstract: We describe real-time, physically-based simulation algorithms for haptic interaction with elastic objects. Simulation of contact with elastic objects has been a challenge, due to the complexity of physically accurate simulation and the difficulty of constructing useful approximations suitable for real time interaction. We show that this challenge can be effectively solved for many applications. In particular global deformation of linear elastostatic objects can be efficiently solved with low run-time computati… Show more

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Cited by 65 publications
(55 citation statements)
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“…The physics-based simulation of interactions between hands and deformable objects can also be used in game applications and haptics research [James and Pai 2001;Magnenat-Thalmann et al 2007]. Our method couples two dynamic systems without adding significant computation time to the simulation.…”
Section: Related Workmentioning
confidence: 99%
“…The physics-based simulation of interactions between hands and deformable objects can also be used in game applications and haptics research [James and Pai 2001;Magnenat-Thalmann et al 2007]. Our method couples two dynamic systems without adding significant computation time to the simulation.…”
Section: Related Workmentioning
confidence: 99%
“…in [6], [7], displacement-driven interaction is considered, so the positions are applied as bilateral constraints (equality conditions) and solved by a method of Lagrange multipliers. In [8], a unified approach to the interaction with elastostatic contact simulation is presented. In this case, the contact resolution is based on capacitance matrix which relates the imposed displacements and response forces.…”
Section: Previous Workmentioning
confidence: 99%
“…From (10) and from the above, we have (13) Given that and that , (13) yields (14) can be replaced by in the above inequality (15) Integrating both sides of (15) gives (16) that is (17) Condition (17) is the passivity condition for the subsystem of Fig. 4 and for , hence, under the conditions stated, the subsystem of Fig.…”
Section: B Existence Of Passivitymentioning
confidence: 99%
“…Forexample, the hapticrendering of a deformable body using a finite-element method (FEM) or boundary-element method (BEM) requires the use of "numerical compression," because of the rapid growth of the computational requirements with problem size [4]. To overcome these problems, low-order local models and multirate simulations are often proposed [4], [6], [8], [14], [18]. However, the force response resulting from switching between local models does not generally guarantee passivity, continuity, and prescribed accuracy.…”
Section: Introductionmentioning
confidence: 99%