Journal article
On swept volume formulations: implicit surfaces
Computer aided design, Vol.33(1), pp.113-121
2001
DOI: 10.1016/S0010-4485(00)00065-8
Abstract
Recent developments in the formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of parametric surfaces. A numerical and broadly applicable analytic formulation is developed that yields the exact swept volume.
Details
- Title: Subtitle
- On swept volume formulations: implicit surfaces
- Creators
- K Abdel-Malek - Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52246, USAJ Yang - Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52246, USAD Blackmore - Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102-1982, USA
- Resource Type
- Journal article
- Publication Details
- Computer aided design, Vol.33(1), pp.113-121
- DOI
- 10.1016/S0010-4485(00)00065-8
- ISSN
- 0010-4485
- eISSN
- 1879-2685
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 2001
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering
- Record Identifier
- 9984064246602771
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