Interactive spacetime control of deformable objects
- Creating motions of objects or characters that are physically plausible and follow an animator’s intent is a key task in computer animation. The spacetime constraints paradigm is a valuable approach to this problem, but it suffers from high computational costs. Based on spacetime constraints, we propose a technique that controls the motion of deformable objects and offers an interactive response. This is achieved by a model reduction of the underlying variational problem, which combines dimension reduction, multipoint linearization, and decoupling of ODEs. After a preprocess, the cost for creating or editing a motion is reduced to solving a number of one-dimensional spacetime problems, whose solutions are the wiggly splines introduced by Kass and Anderson [2008]. We achieve interactive response using a new fast and robust numerical scheme for solving a set of one-dimensional problems based on an explicit representation of the wiggly splines.
| Author: | Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, Konrad Polthier |
|---|---|
| Document Type: | Article |
| Parent Title (English): | ACM Transactions on Graphics |
| Volume: | 31 |
| Issue: | 4 |
| First Page: | 71:1 |
| Last Page: | 71:8 |
| Publisher: | ACM |
| Year of first publication: | 2012 |
| DOI: | https://doi.org/10.1145/2185520.2185567 |

