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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.
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ATR+91
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C. G. Armstrong, T. K. H. Tam, D. J. Robinson, R. M. McKeag, and M. A. Price. Automatic generation of well structured meshes using medial axis and surface subdivision. In G. A. Gabriele, editor, Proceedings of the 17th ASME Design Automation Conference: Advances in Design Automation, Vol. 2, pages 139-146, Miami, FL, September 199 i. New York" ASME.
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Aur91
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Blu67
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H. Blum. A transformation for extracting new descriptors of shape. Models for the Perception of Speech and Visual Form, pages 362-381, ed: Weinant Wathen- Dunn MIT Press, 1967.
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Blu73
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H. Blum. Biological shape and visual science (part I). Journal of Theoretical Biology, 38:205-287, 1973.
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BN78
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H. Blum and R. N. Nagel. Shape description using weighted symmetric axis features. Pattern Recognition, 10(3)" 167-180, 1978.
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Boo79
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F.L. Bookstein. The line skeleton. Computer Graphics and Image Processing, I 1" 123-137, 1979.
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Bra91
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Bra92
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J.W. Brandt. Describing a solid with the threedimensional 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, Massachusetts, 1992.
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Chi92
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CLR90
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Dan80
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P.-E. Danielsson. Euclidean distance mapping. Computer Graphics and Image Processing, 14:227-248, 1980.
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DH90
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D. Dutta and C. M. Hoffmann. A geometric investigation of the skeleton of CSG objects. In B. Ravani, editor, of the 16th ASME Design Automation Conference: Advances in Design Automation, Computer Aided and Computational Design, volume I, pages 67- 75, Chicago, IL, September 1990. New York: ASME, 1990.
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DH93
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D. Dutta and C. M. Hoffmann. On the skeleton of simple CSG objects. Journal of Mechanical Design, ASME Transactions, 115(1):87-94, March 1993.
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For92
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S. Fortune. Voronoi diagrams and Delaunay triangulations, in D.-Z. Du and E K. Hwang, editors, Computing in Euclidean Geometry, pages 193-233. World Scientific, 1992.
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FP79
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GD95
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GP91
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H.N. Gursoy and N. M. Patrikalakis. Automated interrogation and adaptive subdivision of shape using medial axis transform. Advances in Engineering Software and Workstations, 13(5/6):287-302, September/November 1991.
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GP92a
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H.N. Gursoy and N. M. Patrikalakis. An automated coarse and fine surface mesh generation scheme based on medial axis transform, part I: Algorithms. Engineering with Computers, 8(3):121-137, 1992.
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GP92b
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H.N. Gursoy and N. M. Patrikalakis. An automated coarse and fine surface mesh generation scheme based on medial axis transform, part Ii: Implementation. Engineering with Computers, 8(4):179-196, 1992.
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GS85
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Gur89
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H.N. Gursoy. Shape Interrogation by Medial Axis Transform for Automated Analysis. PhD thesis, Massachusetts institute of Technology, Cambridge, MA, November 1989.
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GVL89
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G.H. Golub and C. E Van Loan. Matrix Computations. Johns Hopkins University Press, Baltimore, MD, 1989.
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Hel91
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Hof91
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C.M. Hoffmann. Computer vision, descriptive geometry, and classical mechanics. Technical Report CSD-TR-91-073, Computer Sciences Department, Purdue University, October 1991. Also in Proceedings of the Eurographics Workshop, Computer Graphics and Mathematics, October 1991, Genoa, Italy.
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Hof94
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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, UniversilT of Bath, UK, September 1990, New York, 1994. Oxford University Press.
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LBD+92
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Lee82
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D.T. Lee. Medial axis transformation of a planar shape. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-4(4):363-369, July 1982.
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Mon69
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MP93
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Nac82
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L. R. Nackman. Curvature relations in threedimensional symmetric axes. Computer Graphics and Image Processing, 20:43-57, 1982.
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NP85
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L.R. Nackman and S. M. Pizer. Three-dimensional shape description using the symmetric axis transform I" Theory. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-7(2): 187-202, March 1985.
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PG90
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N.M. Patrikalakis and H. N. Gursoy. Shape interrogation by medial axis transform. In B. Ravani, editor, Proceedings of the 16th ASME Design Automation Conference: Advances in Design Automation, Computer Aided and Computational Design, Vol. 1, pages 77-88, Chicago, IL, September 1990. New York: ASME.
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Pre77
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E P. Preparata. The medial axis of a simple polygon. In G. Goos and J. Hartmanis, editors, Lecture Notes in Computer Science: Mathematical Foundations of Computer Science, pages 443-450. Springer..Verlag, 1977.
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RT94
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J.M. Reddy and G. Turkiyyah. Computation of 3d skeletons by a generalized Delaunay triangulation technique. Computer Aided Design, October 1994. To appear.
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SGP93
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Atul Sudhalkar , Levent Gürsöz , Fritz Prinz, Continuous skeletons of discrete objects, Proceedings on the second ACM symposium on Solid modeling and applications, p.85-94, May 19-21, 1993, Montreal, Quebec, Canada
[doi> 10.1145/164360.164393]
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She95
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SN87
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SNTM92
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V. Srinivasan, L. R. Nackman, J.-M. Tang, and S. N. Meshkat. Automatic mesh generation using the symmetric axis transformation of polygonal domains. Proceedings of the IEEE, Special Issue on Computational Geometry, 80(9): 1485-1501, 1992.
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SP93
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STZ89
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Sug93
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TA91
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T.K.H. Tam and C. G. Armstrong. 2d finite element mesh generation by medial axis subdivision. Advances in Engineering Sofm,are and Workstations, 13(5/6):313-324, September/November 1991.
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Ver94
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Wol85
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E-E. Woiter. Cut Loci in Bordered and Unbordered Riemamlian Manifolds. PhD thesis, Technical University of Berlin, Department of Mathematics, December 1985.
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Wol92
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F.-E. Wolter. Cut locus and medial axis in global shape interrogation and representation. Computer Aided Geometric Design, 1992. To appear. Also available as MIT Ocean Engineering Design Laboratory Memorandum 92-2, January 1992.
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ZSP93
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J. Zhou, E. C. Sherbrooke, and N. M. Patrikalakis. Computation of stationary points of distance functions. Engineering with Computers, 9(4):231-246, Winter 1993.
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CITED BY 13
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Robert Blanding , Cole Brooking , Mark Ganter , Duane Storti, A skeletal-based solid editor, Proceedings of the fifth ACM symposium on Solid modeling and applications, p.141-150, June 08-11, 1999, Ann Arbor, Michigan, United States
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Tim Culver , John Keyser , Dinesh Manocha, Accurate computation of the medial axis of a polyhedron, Proceedings of the fifth ACM symposium on Solid modeling and applications, p.179-190, June 08-11, 1999, Ann Arbor, Michigan, United States
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Duane W. Storti , George M. Turkiyyah , Mark A. Ganter , Chek T. Lim , Derek M. Stal, Skeleton-based modeling operations on solids, Proceedings of the fourth ACM symposium on Solid modeling and applications, p.141-154, May 14-16, 1997, Atlanta, Georgia, United States
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John Keyser , Tim Culver , Dinesh Manocha , Shankar Krishnan, MAPC: a library for efficient and exact manipulation of algebraic points and curves, Proceedings of the fifteenth annual symposium on Computational geometry, p.360-369, June 13-16, 1999, Miami Beach, Florida, United States
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INDEX TERMS
Primary Classification:
F.
Theory of Computation
F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
F.2.2
Nonnumerical Algorithms and Problems
Subjects:
Geometrical problems and computations
Additional Classification:
I.
Computing Methodologies
I.3
COMPUTER GRAPHICS
I.3.5
Computational Geometry and Object Modeling
Subjects:
Curve, surface, solid, and object representations
J.
Computer Applications
J.6
COMPUTER-AIDED ENGINEERING
Subjects:
Computer-aided design (CAD)
General Terms:
Algorithms,
Theory
Keywords:
CAD,
CAGD,
CAM,
Voronoi diagram,
geometric modeling,
polyhedra,
skeleton,
solid modeling,
symmetry
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