Abstract :
This paper addresses the problem of realistically simulating the motion of tree-branches subjected to turbulence.
Since the resulting motion is random in nature, we model it as a stochastic process. We synthesize this process
directly by filtering a white noise in the Fourier domain. The filter is constructed by performing a modal analysis
of the tree. We use a sophisticated numerical technique which is able to compute the first few significant modes of
large trees. The main advantage of our technique over previous methods is that we are able to compute complicated
motions without the necessity of integrating dynamical equations over time. Consequently, a user can view and
manipulate tree-motions in real-time Our technique can be further extended to other flexible structures such as
two-dimensional plates.
