Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Finding the upper envelope of n line segments in O(n log n) time
Information Processing Letters
An introduction to ray tracing
An introduction to ray tracing
Davenport-Schinzel sequences and their geometric applications
Davenport-Schinzel sequences and their geometric applications
Geometric constraint solver using multivariate rational spline functions
Proceedings of the sixth ACM symposium on Solid modeling and applications
The design and implementation of panar maps in CGAL
Journal of Experimental Algorithmics (JEA)
Fast 3D triangle-box overlap testing
Journal of Graphics Tools
High-Level Filtering for Arrangements of Conic Arcs
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
Online sculpting and visualization of multi-dexel volumes
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Continuous path verification in multi-axis NC-machining
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Continuous path verification in multi-axis NC-machining
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Multi-material virtual prototyping for product development and biomedical engineering
Computers in Industry
ICIRA '08 Proceedings of the First International Conference on Intelligent Robotics and Applications: Part II
Five-axis tool path generation for a flat-end tool based on iso-conic partitioning
Computer-Aided Design
Hi-index | 0.00 |
We introduce a new approach to the problem of collision detection in multi-axis NC-machining. Due to the directional nature (tool axis) of multi-axis NC-machining, space subdivision techniques are adopted from ray-tracing algorithms and are extended to suit the peculiarities of the problem in hand. We exploit the axial symmetry inherent in the tool's rotational motion to derive a highly precise polygon/surface-tool intersection algorithms that, combined with the proper data structure, also yields efficient computation times. Other advantages of the proposed method are the separation of the entire computation into a preprocessing stage that is executed only once, allowing more than one toolpath to be efficiently verified thereafter, and the introduced ability to test for collisions against arbitrary shaped tools such as flat-end or ball-end, or even test for interference with the tool holder or other parts of the NC-machine.