A momentum-conserving framework for the simulation of reduced deformable bodies
Abstract/Contents
- Abstract
- This dissertation presents a unified impulse-based system for simulating reduced deformable bodies that handles collision, contact, friction, articulation, and skinning. We use momentum-conservation as the underlying principle behind all of our derivations and first utilize it to present a simple conservative integration scheme for these types of bodies. We illustrate the validity of the scheme with a simple example and also point out its ease of implementation. We then use the conservative integration scheme to describe the pointwise effect of an impulse on a reduced deformable body in the form of an impulse factor. This factor has two new terms - one from the projection of the impulse onto the subspace, and the other from the change in the body momentum from the subspace correction step. The new impulse factor allows us to handle collision and contact in the same way as rigid bodies, and we explore an extension to rigid body friction modeling for reduced deformable bodies. Our method for articulating reduced deformable bodies is also impulse-based, allowing us to constrain multiple bodies together without violating momentum conservation. However, the nature of the reduced deformable model is such that it may not be possible to enforce multiple constraints between bodies, especially on boundaries. To fix this issue, we propose a new method for domain decomposition of simulation meshes based on skinning weights. This decomposition ensures that adjacent domains are overlapping, and we place constraints within the overlapping region. With this articulation scheme, we minimize inter-domain gaps but can still produce non-smooth surfaces at domain boundaries. We use standard skinning techniques to generate a smooth representation of the deformed surface, utilizing the skinning weights that were used in the decomposition. We derive new equations to describe the position and velocity of a skinned mesh particle, as well as a conservative method to distribute impulses applied to skinned particles to the underlying bodies. This unified framework allows us to create fast, robust, and high-fidelity simulations of reduced deformable objects.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2015 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Sheth, Rahul |
|---|---|
| Associated with | Stanford University, Department of Computer Science. |
| Primary advisor | Fedkiw, Ronald P, 1968- |
| Thesis advisor | Fedkiw, Ronald P, 1968- |
| Thesis advisor | Farhat, Charbel |
| Thesis advisor | James, Doug L |
| Advisor | Farhat, Charbel |
| Advisor | James, Doug L |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Rahul Sheth. |
|---|---|
| Note | Submitted to the Department of Computer Science. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2015. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2015 by Rahul Sheth
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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