Journal for Geometry and Graphics 11 (2007), No. 1, 059--071
Copyright Heldermann Verlag 2007
Controllable Simulation of Deformable Objects Using Heuristic Optimal Control
Hongjun Jeon
Dept. of Electrical and Computer Engineering, University of Colorado, Boulder, CO 80309-0425, U.S.A.
jeon@colorado.edu
Min-Hyung Choi
Dept. of Computer Science and Engineering, University of Colorado, Denver, CO 80217, U.S.A.
Physically-based simulation techniques have been widely used in computer graphics because it creates highly realistic animation. However, due to the limitation of passive simulation and simplified modeling methods, it is very difficult to control the behavior of deformable objects directly. Ability to control the behavior of deformable objects is a very important feature for an effective simulation. In this paper, we present a novel interactive method and interface techniques for controlling the behavior of physically-based simulation of deformable objects. In our approach, an animator can select any part of the deformable structure and drag it to the desired location then our system automatically generates the motion path using a heuristic optimal method. Animators can focus on the final pose of the controlled object, without worrying about how to achieve the goal pose. Based on the displacement distance and the previous trajectory of the intended node, the optimal path generator computes the required control parameters that steer the intended node to the desired goal position while preserving the style of the original motion and minimizing the energy to achieve the goal pose. The goal oriented control scheme enables users to interactively control and redirect the motion of deformable objects and guarantees that the edited motion is physically conforming.
Keywords: Deformable objects simulation, physically-based simulation, motion control, optimal control.
MSC: 68U05
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