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Bibliography

1
H. Rusinek, M. E. Noz, G. Q. M. Jr., A. Kalvin, B. Haddad, D. Dean, and C. Cutting, ``Quantitative and Qualitative Comparison of Volumetric and Surface Rendering Techniques,'' IEEE Transactions on Nuclear Science, vol. 38, pp. 659-662, Apr. 1991.

2
L. DeFloriani and E. Puppo, ``Hierarchical Triangulation for Multireslution Surface Description,'' ACM Transactions on Graphics, vol. 14, pp. 363-411, Oct. 1995.

3
J. J. Benedetto and M. W. Frazier, Wavelets: Mathematics and Applicationss.
Boca Raton, Florida: CRC PRess, 1994.

4
M. Goresky and R. MacPherson, Stratified Morse Theory, vol. 14 of Series3, A Series of Modern Surveys In Mathematics.
Berlin: Springer-Verlag, 1988.

5
D. B. Karron and J. Cox, ``Extracting 3D objects from volume data using digital morse theory,'' in Computer Vision, Virtual Reality and Robotics in Medicine (N. Ayache, ed.), no. 905 in Lecture Notes in Computer Science, (New York, NY), pp. 481-486, INRIA, INSERM, ECV net, Springer-Verlag, 1995.

6
G. M. Nielson and B. Hamann, ``The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes,'' in Proceedings of Visualization 91 (G. M. Nielson and L. Rosenblum, eds.), vol. 2, pp. 83-91, 1991.

7
H. E. Cline, C. L. Dumoulin, H. R. H. Jr., and W. E. Lorensen, ``3D Reconstruction of the Brain from Magnetic Resonance Images Using a Connectivity Algorithm,'' Magnetic Resonance Imaging, vol. 5, pp. 345-352, July 1987.

8
H. E. Cline and W. E. Lorensen, ``System and method for the display of surface structures contained within the interior region of a solid body.'' United States Patent Number 4,710,876, 1987.

9
H. E. Cline, W. E. Lorensen, S. Ludke, and B. C. T. C. R. Crawford, ``Two Algorithms for the Reconstruction of Surfaces from Tomograms,'' Medical Physics, vol. 15, pp. 320-327, May 1988.

10
W. E. Lorensen and H. E. Cline, ``Marching Cubes: A High Resolution 3D Surface Construction Algorithm,'' ACM Computer Graphics, vol. 21, pp. 163-169, July 1987.

11
G. Herman, Geometry of Digital Spaces.
Boston: Birkhauser, 1998.

12
G. T. Herman, ``Oriented Surfaces in Digital Spaces,'' CVGIP: Graphical Models and Image Processing, vol. 55, pp. 381-396, Sept. 1993.

13
G. T. Herman and E. Zhao, ``Jordan Surfaces in Simply Connected Digital Spaces,'' Journal of Math. Imaging and Vision, vol. 6, pp. 121 - 138, 1996.

14
D. Karron, J. Cox, and B. Mishra, ``System and Method for Surface Rendering of Internal Structures within the Interior of a Solid Object. .'' U.S. Patent application submitted, approval pending, Apr. 1993.

15
J. L. Cox, D. B. Karron, and B. Mishra, ``The SpiderWeb Algorithm for Surface Construction from Medical Volume Data: Geometric Properties of its Surface,'' Innovations Et Technologie en Biologie et Medecine, vol. 14, pp. 634-656, Nov. 1993.

16
D. B. Karron, ``The ``SpiderWeb'' algorithm for surface construction in noisy volume data,'' in Visualization in Biomedical Computing '92 (R. A. Robb, ed.), vol. 1808, pp. 462-576, Society of Photo-Optical Instrumentation Engineers, 1992.

17
D. Karron, ``The ``SpiderWeb'' Surface Construction Algorithm for Building Triangle Mesh Surfaces in Noisy Volume Data,'' in Proceedings of the 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (J. P. Morucci, R. Plonsey, J. L. Coatrieux, and S. Laxminarayan, eds.), vol. 14, (Piscataway, NJ), pp. 2084-2086, IEEE Engineering in Medicine and Biology Society, 1992.

18
D. Karron and J. Cox, ``Mathematical Analysis of ``SpiderWeb'' Surface Construction Algorithm,'' in Proceedings of the 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (J. P. Morucci, R. Plonsey, J. L. Coatrieux, and S. Laxminarayan, eds.), vol. 14, (Piscataway, NJ), pp. 1250-1252, IEEE Engineering in Medicine and Biology Society, 1992.

19
J. C. Latombe, Robot motion planning.
Kluwer Academic Publishers, 1991.

20
H. Takeda and J. C. Latombe, ``Planning the motions of a mobile robot in a sensory uncertainty field,'' tech. rep., Stanford University Technical Report, 1991.

21
D. Koditschek, ``Exact robot navigation by means of potential functions,'' in Proc. IEEE Int. Conf. Robotics Automat., July 1987.

22
J. Barraquand and J. C. Latombe, ``A Monte-Carlo algorithm for path planning with many degrees of freedom,'' in Proceedings of the IEEE International Conference on Robotics and Automation, pp. 1712-1717, July 1990.

23
J. Barraquand and J. C. Latombe, ``Robot motion planning: A distributed representation approach,'' tech. rep., Stanford University Department of Computer Science, 1988.

24
L. Vincent and P. Soille, ``Watersheds in digital spaces: an efficient algorithm based on immersion simulations,'' IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, pp. 583-598, June 1991.

25
M. Baccar, L. A. Gee, R. C. Gonzalez, and M. A. Abidi, ``Segmentation of range images via data fusion and morphological watersheds,'' Pattern Recognition, vol. 29, no. 10, pp. 1671-1687, 1996.

26
B. P. Dobrin, T. Viero, and M. Gabbouj, ``Fast watershed algorithms: analysis and extensions,'' in Nonlinear Image Processing V, vol. 2180 of SPIE Proceedings, (San Jose, California), pp. 209-220, 1994.

27
S. Beucher and C. Lantuéjoul, ``Use of watersheds in contour detection,'' in International Workshop on Image Processing, Real-Time Edge and Motion Detection/Estimation, (Rennes, France), 1979.

28
S. Beucher and F. Meyer, ``The morphological approach to segmentation: the watershed transformation,'' in Mathematical Morphology in Image Processing (E. R. Dougherty, ed.), ch. 12, pp. 433-481, New York: Marcel Dekker, 1993.

29
S. Beucher, ``Watersheds of functions and picture segmentation,'' in IEEE International Conference on Acoustics, Speech and Signal Processing, (Paris), pp. 1928-1931, May 1982.

30
D. Hagyard, M. Razaz, and A. P, ``Analysis of watershed algorithms for greyscale images,'' in Proceedings of International Conference on Image Processing, no. 3, (NJ), pp. 41-44, IEEE, IEEE, Sept. 1996.

31
W. J. Schroeder, J. A. Zarge, and W. E. Lorensen, ``Decimation of triangle meshes,'' ACM Computer Graphics, vol. 26, pp. 65-70, July 1992.


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