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Wind projection basis for real‐time animation of trees
Author(s) -
Diener Julien,
Rodriguez Mathieu,
Baboud Lionel,
Reveret Lionel
Publication year - 2009
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/j.1467-8659.2009.01393.x
Subject(s) - animation , computer science , modal , projection (relational algebra) , basis (linear algebra) , computer graphics (images) , computer animation , computation , graphics , tree (set theory) , modal analysis , novelty , skeletal animation , wind engineering , basis function , computer graphics , algorithm , computer facial animation , finite element method , engineering , structural engineering , mathematics , geometry , theology , mathematical analysis , philosophy , chemistry , polymer chemistry
Abstract This paper presents a real‐time method to animate complex scenes of thousands of trees under a user‐controllable wind load. Firstly, modal analysis is applied to extract the main modes of deformation from the mechanical model of a 3D tree. The novelty of our contribution is to precompute a new basis of the modal stress of the tree under wind load. At runtime, this basis allows to replace the modal projection of the external forces by a direct mapping for any directional wind. We show that this approach can be efficiently implemented on graphics hardware. This modal animation can be simulated at low computation cost even for large scenes containing thousands of trees.