Name
Abstract | ||
|---|---|---|
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 framework for controlling the motion of deformable objects that offers interactive response times. 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 times through a new fast and robust numerical scheme for solving the one-dimensional problems that is based on a closed-form representation of the wiggly splines. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1145/2185520.2185567 | ACM Trans. Graph. |
Keywords | Field | DocType |
wiggly spline,spacetime constraint,one-dimensional spacetime problem,creating motion,interactive response time,dimension reduction,underlying variational problem,model reduction,one-dimensional problem,spacetime constraints paradigm,interactive spacetime control,deformable object,control,computer animation | Spline (mathematics),Computer vision,Mathematical optimization,Dimensionality reduction,Computer graphics (images),Computer science,Decoupling (cosmology),Spacetime,Artificial intelligence,Computer animation,Linearization,Ode | Journal |
Volume | Issue | ISSN |
31 | 4 | 0730-0301 |
Citations | PageRank | References |
23 | 0.77 | 28 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Klaus Hildebrandt | 1 | 466 | 24.77 |
| Christian Schulz | 2 | 213 | 10.71 |
| Christoph von Tycowicz | 3 | 183 | 10.31 |
| Konrad Polthier | 4 | 1089 | 85.92 |