Using isosurface methods for visualizing the envelope of a swept trivariate solid

Proceedings - Pacific Conference on Computer Graphics and Applications

Volumn 2000-January, Issue , 2000, Pages 272-280

  Conkey, J ^a   Joy, K I ^a  

^a University of California   (United States)

Author keywords

Computer science; Image processing; Isosurfaces; Jacobian matrices; Robustness; Solid modeling; Spline; Testing; Visualization

Indexed keywords

COMPUTER GRAPHICS; COMPUTER SCIENCE; CURVE FITTING; FLOW VISUALIZATION; IMAGE PROCESSING; INTERPOLATION; ROBUSTNESS (CONTROL SYSTEMS); SPLINES; TENSORS; TESTING;

BOUNDARY SURFACES; IMPLICIT SURFACES; ISO SURFACE; JACOBIAN DETERMINANTS; PARAMETRIC SURFACES; SOLID MODEL; TENSOR PRODUCT B-SPLINES; THREE DIMENSIONAL SPACE;

JACOBIAN MATRICES;

EID: 84877495060     PISSN: 15504085     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PCCGA.2000.883950     Document Type: Conference Paper

References (14)

1. K. Abdel-Malek, D. Blackmore, and K. I. Joy. Swept volumes: Foundations, perspectives and applications, 2000 (submitted for publication).
2. K. Abdel-Malek and H. Yeh. Geometric representation of the swept volume using jacobian rank-deficiency conditions. Computer-aided Design, 29(6):457-468, 1997.
3. K. Abdel-Malek, H. Yeh, and S. Othman. Swept volumes: Void and boundary identification. Computer-aided Design, 30(8):1009-1018, 1999.
4. V. G. Boltianskii. Envelopes. Macmillan, New York, 1964.
5. K. I. Joy. Visualization of swept hyperpatch solids. In T. L. Kunii, editor, Visual Computing : Integrating Computer Graphics with Computer Vision (Proceedings of Computer Graphics International 92), pages 567-582. Springer-Verlag, Tokyo, June 1992.
6. K. I. Joy and M. A. Duchaineau. Boundary determination for trivariate solids. In Proceedings of Pacific Graphics '99, pages 82-91, Oct. 1999.
7. W. E. Lorensen and H. E. Cline. Marching cubes: A high resolution 3D surface construction algorithm. Computer Graphics, 21(4): 163-169, July 1987.
8. C. Madrigal and K. I. Joy. Generating the envelope of a swept trivariate solid. In Proceedings of the IASTED International Conference on Computer Graphics and Imaging, pages 5-9, Oct. 1999.
9. D. Moore. Subdividing simplices. In D. Kirk, editor, Graphics Gems III, pages 244-249. Academic Press, 1987.
10. G. M. Nielson. Tools for triangulations and tetrahedrizations and constructing functions defined over them. In G. M. Nielson, H. Hagen, and H. Müller, editors, Scientific Visualization: Overviews, Methodologies, and Techniques, pages 429-525. IEEE Computer Society Press, 1997.
11. B. O'Neill. Elementary Differential Geometry. Academic Press, New York, NY, 1966.
12. R. Shu, C. Zhou, and M. S. Kankanhalli. Adaptive marching cubes. The Visual Computer, 11(4):202-217, 1995.
13. W. P. Wang and K. K. Wang. Geometric modeling for swept volume of moving solids. IEEE Computer Graphics and Applications, 6(12):8-17, Dec. 1986.
14. Y. Zhou, B. Chen, and A. Kaufman. Multiresolution tetrahedral framework for visualizing regular volume data. In R. Yagel and H. Hagen, editors, IEEE Visualization 97, pages 135-142. IEEE, Nov. 1997.