Particle Systems.

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Presentation transcript:

Particle Systems

Particle Systems dust stars people in a crowd hair (keep path) Wikipedia: Particle Systems

particle2.c link on webpage options are in menu

Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009 Newtonian Particle Particle system is a set of particles Each particle is an ideal point mass Six degrees of freedom Position Velocity Each particle obeys Newtons’ law f = ma 4 Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009

Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009 Particle Equations pi = (xi, yi zi) vi = dpi /dt = pi' = (dxi /dt, dyi /dt , dzi /dt) m vi'= fi Hard part is defining force vector 5 Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009

Force Vector Independent Particles Coupled Particles O(n) Gravity Wind forces O(n) calulation Coupled Particles O(n) Meshes Spring-Mass Systems Coupled Particles O(n2) Attractive and repulsive forces

Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009 Collisions Once we detect a collision, we can calculate new path Use coefficient of resititution Reflect vertical component May have to use partial time step 7 Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009

Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009 Meshes Connect each particle to its closest neighbors O(n) force calculation Use spring-mass system 8 Angel: Interactive Computer Graphics 5E © Addison-Wesley 2009

falling beam then melting on hot surface (from thesis David Love Tonnesen)

draping cloth from same thesis