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Published May 2013 | public
Journal Article

Interactive elastic motion editing through space–time position constraints

Abstract

We present an intuitive and interactive approach for motion editing through space–time constraints on positions. Given an input motion of an elastic body, our approach enables the user to interactively edit node positions in order to alter and fine-tune the motion. We formulate our motion editing as an optimization problem with dynamics constraints to enforce a physically plausible result. Through linearization of the editing around the input trajectory, we simplify this constrained optimal control problem into an unconstrained quadratic optimization. The optimal motion thus becomes the solution of a dense linear system, which we solve efficiently by applying the adjoint method in each iteration of a conjugate gradient solver. We demonstrate the efficiency and quality of our motion editing technique on a series of examples.

Additional Information

© 2013 John Wiley & Sons, Ltd. Manuscript Accepted: 22 Mar. 2013; Manuscript Received: 21 Mar. 2013. Article first published online: 13 May 2013. The authors would like to thank the reviewers for their valuable comments. We thank Miss Linling Zhou for the creation of the animation for Figures 3, 4, and 6; Mr. Xiaoqiang Zhu for the codes to prepare the volumetric meshes; and Miss Nina Qiu for proofreading. This research was partially supported by NSFC (No. 61210007), National High Technology Research, and Development (863) Program of China (No. 2012AA011503). M. D. was partially supported by NSF grant CCF-1011944. Xiaogang Jin was supported by Zhejiang Provincial Natural Science Foundation of China (No. Z1110154) and National Natural Science Foundation of China (No. 61272298).

Additional details

Created:
August 22, 2023
Modified:
October 24, 2023