A state machine for real-time cutting of tetrahedral meshes


METADATA ONLY
Loading...

Date

2003

Publication Type

Conference Paper

ETH Bibliography

yes

Citations

Altmetric
METADATA ONLY

Data

Rights / License

Abstract

We introduce an algorithm that consistently and accurately processes arbitrary intersections in tetrahedral meshes in real-time. The intersection surfaces are modeled up to the current cut tool position at every point in time. Tetrahedra are subdivided by using a progressive method, which inserts the required sub-structures step by step. A state machine tracks the topology of each tetrahedron and controls the progressive subdivision. In order to keep the state machine as small and clear as possible, each topological pattern of a tetrahedral intersection appears only once. These topological patterns are mapped onto the actual case of a tetrahedral intersection by some given transformation operations. The state transitions, which contain the specific subdivision operations, are described in a predefined lookup table, which is written in a simple script language. The handling of reverse movements and possible trembling of the users hand, as well as a recursive continuation of the state machine concept, complement the proposed algorithm. In three examples, covering free form modeling, volume visualization, and surgery simulation, we indicate the large field of applications in which our algorithm can be utilized.

Publication status

published

Editor

Book title

11th Pacific Conference onComputer Graphics and Applications. Proceedings

Journal / series

Volume

Pages / Article No.

377 - 386

Publisher

IEEE

Event

11th Pacific Conference on Computer Graphics and Applications (PG 2003)

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Organisational unit

Notes

Funding

Related publications and datasets