The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
STRANDS: Interactive Simulation of Thin Solids using Cosserat Models
Abstract
Strandsare thin elastic solids that are visually well approximated as smooth curves, and yet possess essential physical behaviors characteristic of solid objects such as twisting. Common examples in computer graphics include: sutures, catheters, and tendons in surgical simulation; hairs, ropes, and vegetation in animation. Physical models based on spring meshes or 3D finite elements for such thin solids are either inaccurate or inefficient for interactive simulation. In this paper we show that models based on the Cosserat theory of elastic rods are very well suited for interactive simulation of these objects. The physical model reduces to a system of spatial ordinary differential equations that can be solved efficiently for typical boundary conditions. The model handles the important geometric non-linearity due to large changes in shape. We introduce Cosserat-type physical models, describe efficient numerical methods for interactive simulation of these models, and implementation results.
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Cites
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Ascher, U. M., & Petzold, L. R. (1998) · doi:10.1137/1.9781611971392 · Cited by 2,403 · cited 1×
“(3) As with the kinematic differential equation, we would like to compute this in relative coordinates, but there is the standard complication of differentiating a spatial force in “moving coordinates” (e.”
BackgroundNonlinear Problems of Elasticity
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Issues in the haptic display of tool use
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Linear-time dynamics using Lagrange multipliers
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Robotic manipulators and the product of exponentials formula
Brockett, R. W. (2005) · Lecture Notes in Control and Information Sciences · doi:10.1007/bfb0031048 · Cited by 314
Kalman filtering, smoothing, and recursive robot arm forward and inverse dynamics
Rodriguez, G. (1987) · IEEE Journal on Robotics and Automation · doi:10.1109/jra.1987.1087147 · Cited by 196
Virtual reality in surgical education
Ota, D., Loftin, B., Saito, T., Lea, R., & Keller, J. (1995) · Computers in Biology and Medicine · doi:10.1016/0010-4825(94)00009-f · Cited by 173
Simulating the structure and dynamics of human hair: Modelling, rendering and animation
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Cited by
Knotting/unknotting manipulation of deformable linear objects
Wakamatsu, H., Arai, E., & Hirai, S. (2006) · The International Journal of Robotics Research · doi:10.1177/0278364906064819 · Cited by 132
Metadata
- Authors
- Pai, D. K.
- Venue
- Computer Graphics Forum
- Publisher
- Wiley
- Published
- 2002-09
- Volume
- 21
- Issue
- 3
- Pages
- 347-352
- ISSN
- 0167-7055 (ISSN-L)
- 1467-8659
- OpenAlex
- W2007243548
- Cited by
- 317
- References
- 11
- FWCI
- 13.45
- Type
- journal article
- Language
- en
- Open access
- closed
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