TY - CHAP A1 - Schulz, Christian A1 - Tycowicz, Christoph von A1 - Seidel, Hans-Peter A1 - Hildebrandt, Klaus T1 - Animating articulated characters using wiggly splines T2 - ACM SIGGRAPH / Eurographics Symposium on Computer Animation N2 - We propose a new framework for spacetime optimization that can generate artistic motion with a long planning horizon for complex virtual characters. The scheme can be used for generating general types of motion and neither requires motion capture data nor an initial motion that satisfies the constraints. Our modeling of the spacetime optimization combines linearized dynamics and a novel warping scheme for articulated characters. We show that the optimal motions can be described using a combination of vibration modes, wiggly splines, and our warping scheme. This enables us to restrict the optimization to low-dimensional spaces of explicitly parametrized motions. Thereby the computation of an optimal motion is reduced to a low-dimensional non-linear least squares problem, which can be solved with standard solvers. We show examples of motions created by specifying only a few constraints for positions and velocities. Y1 - 2015 U6 - https://doi.org/10.1145/2786784.2786799 SP - 101 EP - 109 ER - TY - CHAP A1 - Hildebrandt, Klaus A1 - Polthier, Konrad A1 - Wardetzky, Max T1 - Smooth feature lines on surface meshes T2 - Third Eurographics Symposium on Geometry Processing Y1 - 2005 SP - 85 EP - 90 ER - TY - CHAP A1 - Hildebrandt, Klaus A1 - Polthier, Konrad A1 - Preuß, Eike T1 - Evolution of 3D curves under strict spatial constraints T2 - IEEE Proceedings on Ninth International Conference on Computer Aided Design and Computer Graphics (CAD/CG 2005) Y1 - 2005 U6 - https://doi.org/10.1109/CAD-CG.2005.38 SP - 40 EP - 45 ER -