Constrained projective dynamics

Min Hyung Kee, Kiwon Um, Wooseok Jeong, Junghyun Han

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


This paper proposes a novel energy-momentum conserving integration method. Adopting Projective Dynamics, the proposed method extends its unconstrained minimization for time integration into the constrained form with the position-based energy-momentum constraints. This resolves the well-known problem of unwanted dissipation of energy and momenta without compromising the real-time performance and simulation stability. The proposed method also enables users to directly control the energy and momenta so as to easily create the vivid deformable and global motions they want, which is a fascinating feature for many real-time applications such as virtual/augmented reality and games.

Original languageEnglish
Article number3459878
JournalACM Transactions on Graphics
Issue number4
Publication statusPublished - 2021 Jul 1

Bibliographical note

Funding Information:
This research was supported by the Ministry of Science and ICT, Korea, under the ICT Creative Consilience program(IITP-2021-2020-0-01819), the Information Technology Research Center support program(IITP-2021-2020-0-01460) and the grant No.2020-0-00861 that are all supervised by the IITP(Institute for Information & Communications Technology Planning & Evaluation). This work was also supported by Samsung Research Funding & Incubation Center of Samsung Electronics under Project Number SRFC-IT1902-07.

Publisher Copyright:
© 2021 ACM.


  • constrained optimization
  • deformable objects simulation
  • energy-momentum conservation
  • projective dynamics
  • real-time simulation

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design


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