ACM Home Page
Please provide us with feedback. Feedback
Accurate computation of the medial axis of a polyhedron
Full text PdfPdf (1.59 MB)
Source ACM Symposium on Solid and Physical Modeling archive
Proceedings of the fifth ACM symposium on Solid modeling and applications table of contents
Ann Arbor, Michigan, United States
Pages: 179 - 190  
Year of Publication: 1999
ISBN:1-58113-080-5
Authors
Tim Culver  Department of Computer Science, University of North Carolina, Chapel Hill, NC
John Keyser  Department of Computer Science, University of North Carolina, Chapel Hill, NC
Dinesh Manocha  Department of Computer Science, University of North Carolina, Chapel Hill, NC
Sponsor
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 7,   Downloads (12 Months): 42,   Citation Count: 23
Additional Information:

references   cited by   index terms   collaborative colleagues  

Tools and Actions: Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/304012.304030
What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
 
3
 
4
M. O. Benouamer, D. Michelucci, and B. Peroche. Error-free boundary evaluation based on a lazy rational arithmetic: A detailed implementation. Computer Aided Design, 26(6):403- 416, June 1994.
 
5
H. Blum. A transformation for extracting new descriptors of shape. In W. Wathen-Durm, editor, Models for the Perception of Speech and Visual Form, pages 362-380. MIT Press, 1'967.
 
6
J. W. Brandt. Describing a solid with the three-dimensional skeleton. In J. D. Warren, editor, Proceedings of the International Society for Optical Engineering Volume 1830, Curves and Surfaces in Computer Vision and Graphics 111, pages 258-269. SPIE, Boston, 1992.
7
8
9
 
10
 
11
 
12
K.L. Clarkson. Safe and effective determinant evaluation. In Proc. 33rd Annu. IEEE Sympos. Found. Comput. Sci., pages 387-395, 1992.
 
13
 
14
 
15
J. Demmel. LAPACK: A portable linear algebra library for supercomputers. In Proceedings of the 1989 IEEE Control Systems Society Workshop on Computer-Aided Control System Design, Tampa, FL, Dec 1989. IEEE.
 
16
A. L. Dixon. The eliminant of the equations of four quadric surfaces. Proc. London Math. Soc., pages 340-352, 1910.
 
17
D. Dutta and C. M. Hoffmann. A geometric investigation of the skeleton of CSG objects. In Proc. ASME Conf. Design Automation, 1990.
 
18
D. Dutta and C. M. Hoffmann. On the skeleton of simple CSG objects. Journal of Mechanical Design, ASME Transactions, 115(I):87-94, 1993.
 
19
G. Elber and M-S. Kim. The bisector surface of freeform rational space curves. Technical Report CIS Report #9619, Technion-Israel institute of Technology, September 1996.
20
 
21
S. J. Fortune. A sweepline algorithm for Voronoi diagrams. Algorithmica, 2:153-174, 1987.
 
22
LiDIA Group. A library for computational number theory. Technical report, TH Darmstadt, Fachbereich Informatik, Institut fur Theoretische Informatik, 1997.
 
23
M. Held. On computing Voronoi diagrams of convex polyhedra by means of wavefront propagation. In Proc. 6th Canad. Conf. Comput. Geom., pages 128-133, 1994.
 
24
Martin Held. Voronoi diagrams and offset curves of curvilinear polygons. Computer-Aided Design, 30(4):287-300, 1998.
 
25
C. M. Hoffmann. How to construct the skeleton of csg objects, in A. Bowyer and J. Davenport, editors, Proceedings of the Fourth IMA Conference, The Mathematics of Surfaces, University of Bath, UK, September 1990. Oxford University Press, New York, ~994.
 
26
 
27
 
28
 
29
30
31
 
32
 
33
D.T. Lee. Medial axis transformation of a planar shape. IEEE Trans. Pattern Anal. Mach. Intell., PAMI-&363-369, 1982.
 
34
ES. Macaulay. On ..some formula in elimination. Proceedings of London Mathematical Society, 1 (33):3-27, May tt902.
 
35
V. Milenkovic. Robust construction of the Voronoi diagram of a polyhedron. In Proc. 5th Canad. Conf. Comput. Geom., pages 473-478, 1993.
 
36
P. S. Milne. On the solutions of a set of polynomial equations. In Symbolic and Numerical Computation for Artificial Intelligence, pages 89-102, 1992.
 
37
 
38
Jayachandra Reddy and George Turkiyyah. Comp~tation of 3D skeletons using a generalized Delaunay triangulation technique. Computer-Aided Design, 27(9):677-694, 1995.
39
40
41
 
42
V. Srinivasan, L. R. Nackman, J.-M. Tang, and S. N. Meshkat. Automatic mesh generation using the symmetric axis transform of polygonal domains. Proc. IEEE, 80(9):1485-1501, September 1992.
 
43
 
44
 
45
Jules Vleugels and Mark Overmars. Approximating general-. ized Voronoi diagrams in any dimension. Technical R epol~: UU-CS- 1995-14, Department of Computer Science, Utrecht University, 1995.
 
46
E E. Wolter. Cut locus and medial axis in global shape interrogation and representation. Computer Aided Geometric" Design, 1992.
 
47

CITED BY  23

Collaborative Colleagues:
Tim Culver: colleagues
John Keyser: colleagues
Dinesh Manocha: colleagues