Theories for Mass-Spring Simulation in Computer Graphics: Stability, Costs and Improvements
Summary :
Spring-mass systems are widely used in computer animation to model soft objects. Although the systems can be numerically solved either by explicit methods or implicit methods, it has been difficult to obtain stable results from explicit methods. This paper describes detailed discussion on stabilizing explicit methods in spring-mass simulation. The simulation procedures are modeled as a linear digital system, and system stability is mathematically defined. This allows us to develop theories of simulation stability. The application of these theories to explicit methods allows them to become as stable as implicit methods. Furthermore, a faster explicit method is proposed. Experiments confirm the theories and demonstrate the efficiency of the proposed methods.
- Publication
- IEICE TRANSACTIONS on Information Vol.E88-D No.4 pp.767-774
- Publication Date
- 2005/04/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietisy/e88-d.4.767
- Type of Manuscript
- PAPER
- Category
- Computer Graphics
Authors
Keyword
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Mikio SHINYA, "Theories for Mass-Spring Simulation in Computer Graphics: Stability, Costs and Improvements" in IEICE TRANSACTIONS on Information,
vol. E88-D, no. 4, pp. 767-774, April 2005, doi: 10.1093/ietisy/e88-d.4.767.
Abstract: Spring-mass systems are widely used in computer animation to model soft objects. Although the systems can be numerically solved either by explicit methods or implicit methods, it has been difficult to obtain stable results from explicit methods. This paper describes detailed discussion on stabilizing explicit methods in spring-mass simulation. The simulation procedures are modeled as a linear digital system, and system stability is mathematically defined. This allows us to develop theories of simulation stability. The application of these theories to explicit methods allows them to become as stable as implicit methods. Furthermore, a faster explicit method is proposed. Experiments confirm the theories and demonstrate the efficiency of the proposed methods.
URL: https://global.ieice.org/en_transactions/information/10.1093/ietisy/e88-d.4.767/_p
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@ARTICLE{e88-d_4_767,
author={Mikio SHINYA, },
journal={IEICE TRANSACTIONS on Information},
title={Theories for Mass-Spring Simulation in Computer Graphics: Stability, Costs and Improvements},
year={2005},
volume={E88-D},
number={4},
pages={767-774},
abstract={Spring-mass systems are widely used in computer animation to model soft objects. Although the systems can be numerically solved either by explicit methods or implicit methods, it has been difficult to obtain stable results from explicit methods. This paper describes detailed discussion on stabilizing explicit methods in spring-mass simulation. The simulation procedures are modeled as a linear digital system, and system stability is mathematically defined. This allows us to develop theories of simulation stability. The application of these theories to explicit methods allows them to become as stable as implicit methods. Furthermore, a faster explicit method is proposed. Experiments confirm the theories and demonstrate the efficiency of the proposed methods.},
keywords={},
doi={10.1093/ietisy/e88-d.4.767},
ISSN={},
month={April},}
Copy
TY - JOUR
TI - Theories for Mass-Spring Simulation in Computer Graphics: Stability, Costs and Improvements
T2 - IEICE TRANSACTIONS on Information
SP - 767
EP - 774
AU - Mikio SHINYA
PY - 2005
DO - 10.1093/ietisy/e88-d.4.767
JO - IEICE TRANSACTIONS on Information
SN -
VL - E88-D
IS - 4
JA - IEICE TRANSACTIONS on Information
Y1 - April 2005
AB - Spring-mass systems are widely used in computer animation to model soft objects. Although the systems can be numerically solved either by explicit methods or implicit methods, it has been difficult to obtain stable results from explicit methods. This paper describes detailed discussion on stabilizing explicit methods in spring-mass simulation. The simulation procedures are modeled as a linear digital system, and system stability is mathematically defined. This allows us to develop theories of simulation stability. The application of these theories to explicit methods allows them to become as stable as implicit methods. Furthermore, a faster explicit method is proposed. Experiments confirm the theories and demonstrate the efficiency of the proposed methods.
ER -
English
