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Stochastic Dynamics: Simulating the Effects of Turbulence on Flexible Structures
Author(s) -
Stam Jos
Publication year - 1997
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.00152
Subject(s) - tree (set theory) , computer science , white noise , turbulence , filter (signal processing) , process (computing) , noise (video) , domain (mathematical analysis) , tree structure , algorithm , stochastic process , motion (physics) , modal , dynamics (music) , statistical physics , mathematical optimization , mathematics , artificial intelligence , mathematical analysis , computer vision , physics , mechanics , acoustics , telecommunications , statistics , chemistry , binary tree , polymer chemistry , image (mathematics) , operating system
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.