130 likes | 349 Views
Michel Estermann Eveline Mattle Februar 2006. Bubble Simulation for the Hysteroscopy Simulator. Contents. Hysteroscopy Simulator Bubbles Forces acting on a bubble Velocity of a bubble Results Discussion and Conclusions. Hysteroscopy Simulator. Hysteroscopy Simulator. Bubble. Model:
E N D
Michel Estermann Eveline Mattle Februar 2006 Bubble Simulation for the Hysteroscopy Simulator
VR in Medicine Homework Contents • Hysteroscopy Simulator • Bubbles • Forces acting on a bubble • Velocity of a bubble • Results • Discussion and Conclusions
VR in Medicine Homework Hysteroscopy Simulator
VR in Medicine Homework Hysteroscopy Simulator
Bubble • Model: • Sphere with radius r • Generation: • Bubblepool • Randomly generated size • During cutting • Display: • Billboarding VR in Medicine Homework
VR in Medicine Homework Forces acting on a Bubble • Buoyancy • Gravity • Forces between two bubbles • Repelling force • Viscous force • Forces between bubbles and objects • Repelling force • Viscous force • Influence of the Fluid velocity on a bubble
VR in Medicine Homework Velocity of a bubble • Because it is assumed, that the bubbles have no mass the sum of all the forces has to be zero. • Some of the forces are dependent of the velocity of the bubbles, so a equation for the velocity can be found. • With the velocity the position of the bubbles can be calculated discretely.
VR in Medicine Homework Results
VR in Medicine Homework Results • Several assumptions and approximations used in this work leads to certain limitations: • Large velocity changes between update-steps possible • Considering time for independence of computation time • No deformation of bubbles • No fusion of bubbles • Difficulties to find the right parameters • Current implementation: no interaction with the objects
VR in Medicine Homework Discussion and Conclusions • Because the bubbles interact now with themselves and with the fluid around them the simulation looks more realistic. • Because of the Buoyancy an important information about the orientation is given. • Next step: implement the interaction of the bubbles with the objects.
VR in Medicine Homework References • [1] (2005) –hysteroscopy simulator website. Available: http://www.hystsim.ethz.ch • [2] S.T. Greenwood and D. H. House, “Better with bubbles: Enhancing the visual realism of simulated fluid”, in SCA ’04: Proc. Of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation. New York, NY, USA: ACM Press, 2004, pp. 287-296 [online]. Available: http://portal.acm.org/citation.cfm?id=10028562 • [3] H. Kueck, C. Vogelsang, and G. Greiner, “Simulation and rendering of liquid foams”, Proc. Graphics Interface ’02, pp.81-88, 2002. [Online]. Available: http://www.graphicsinterface.org/proceedings/2002/145/ • [4] D. J. Durian, “Foam mechanics at the bubble scale”, Physical Review Letters, vol 75, no. 26, pp. 4780-4783, 1995. [Online]. Available: http://prola.aps.org/abstract/PRL/v75/i26/p4780_1