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The generation of realistic motion satisfying user-defined requirements is one of the most important goals of computer animation. Our aim in this paper is the synthesis of realistic, controllable motion for lightweight natural objects in a gaseous medium. We formulate this problem as a large-scale space-time optimization with user controls and fluid motion equations as constraints. We have devised novel and effective methods to make this large optimization tractable. Initial trajectories are generated with data-driven synthesis based on stylistic motion planning. Smoothed Particle Hydrodynamics (SPH) is used during optimization to produce fluid simulations at a reasonable computational cost, while interesting vortex-based fluid motion is generated by recording the presence of vortices in the initial trajectories and maintaining them through optimization. Object rotations are refined as a post-process to enhance the visual quality of the results. We demonstrate our techniques on a number of animations involving single or multiple objects. Lin Shi, Yizhou Yu, Christopher Wojtan and Stephen Chenney The Visual Computer Journal, Vol. 21, No. 7, 2005, pp.474-487 |