Generic Curvature Features from 3-D Images

IEEE Transactions on Systems, Man and Cybernetics

Volumn 19, Issue 6, 1989, Pages 1623-1636

  Sander, Peter T ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING--IMAGE ANALYSIS; IMAGING TECHNIQUES--MEDICAL APPLICATIONS; MATHEMATICAL TECHNIQUES--LEAST SQUARES APPROXIMATIONS; SURFACES;

COMPUTER VISION; IMAGE SHAPE ANALYSIS; ITERATIVE MINIMIZATION; PARABOLIC POINTS; STEREO VISION; UMBILIC POINTS;

VISION;

EID: 0024765144     PISSN: 00189472     EISSN: 21682909     Source Type: Journal    
DOI: 10.1109/21.44078     Document Type: Article

References (28)

1. P.T. Sander, “On reliably inferring differential structure from Three-dimensional images,” Ph.D. dissertation, McGill Univ., Montreal, PQ, Canada, 1988 (available as Tech. Rep. CIM-88–1, McGill Research Center for Intelligent Machines, McGill Univ., Montréal).
2. P.T. Sander and S.W. Zucker, “Singularities of principal direction fields from 3-D images,” Proc. 2nd Int. Conf. Computer Vision, Tarpon Springs, FL, Dec. 1988.
3. V. Guillemin and A. Pollack, Differential Topology. Englewood Cliffs, NJ: Prentice-Hall, 1974.
4. P. Besl and R. Jain, “Intrinsic and extrinsic surface characteristics,” in IEEE Proc. Computer Vision and Pattern Recognition, June 1985, pp. 226–233.
5. O.D. Faugeras and M. Hebert, “The representation, recognition, and locating of 3-D objects,” Int. J. Robotics Res., vol. 5, no. 3, pp. 27–52, Fall 1986.
6. P.T. Sander and S.W. Zucker, “Inferring differential structure from 3-D images: smooth cross sections of fibre bundles,” IEEE Trans. Pattern Anal. Machine Intell., to appear (available as Tech. Rep. CIM-88–6, McGill Research Center for Intelligent Machines, McGill Univ., Montreal, PQ, Canada).
7. S.W. Zucker, “The emerging paradigm of computational vision,” Ann. Rev. Comput. Sci., pp. 69–89, 1987.
8. M.L. Rhodes, W.V. Glenn, and Y.-M. Azzawi, “Computer graphics and an interactive stereotactic system for CT-aided neurosurgery,” IEEE Comput. Graph. Appl., vol. 5, no. 3, pp. 31–38, Aug. 1983.
9. M.W. Vannier, J.L. Marsh, and J.O. Warren, “Three dimensional computer graphics for craniofacial surgical planning and evaluation,” Comput. Graph., vol. 17, no. 3, pp. 263–273, July 1983 (Proc. SIGGRAPH S3).
10. R. Bajcsy, R. Lieberson, and M. Reivich, “A computerized system for the elastic matching of deformed radiographic images to idealized atlas images,” J. Comput. Assisted Tomography, vol. 7, no. 4, pp. 618–625, 1983.
11. E. Artzy, Ci. Frieder, and G.T. Herman, “The theory, design, implementation and evaluation of a Three-dimensional surface detection algorithm,” Comput. Graph. Image Processing, vol. 15, pp. 1–24, 1981.
12. J.D. Boissonnat, “Geometric structures for Three-dimensional shape representation,” ACM Trans. Graph., vol. 3, pp. 266–286, Oct. 1984.
13. J.D. Cappelletti, “Three-dimensional boundary following,” Computer Vision Lab., Center for Automation Research, Univ. Maryland, Tech. Rep. CAR-TR-314, College Park, Aug. 1987.
14. J.J. Koenderink and A.J. van Doom, “The shape of smooth objects and the way contours end,” Perception, vol. 11, pp. 129–137, 1982.
15. M. Brady, J. Ponce, A. Yuille, and H. Asada, “Describing surfaces,” in Hideo Hanafusa and Hirochika Inoue, editors, Proc. 2nd Int. Symp. Robotics Research, H. Hanafusa and H. Inoue, Eds. Cambridge, MA: MIT Press, 1985, pp. 5–16.
16. J.J. Koenderink, “The internal representation of solid shape and visual exploration,” in Sensory Experience, Adaptation, and Perception, Spill-man and Wooten, Eds. Hillsdale, NJ: Erlbaum, 1984, pp. 123–142.
17. R.M. Haralick, L.T. Watson, and T.J. Laffey, “The topographic primal sketch,” Int. J. Robotics Res., vol. 2, pp. 50–70, Spring 1983.
18. J.C. Maxwell, “On hills and dales,” London, Edinburgh, Dublin Phil. Mag. J. Sci., pp. 421-425, Dec. 1870 (reprinted in The Scientific Papers of James Clerk Maxwell, W.D. Niven, Ed., vol. II. New York: Dover, 1965, pp. 233–240.
19. L.R. Nackman, “Two-dimensional critical point configuration graphs,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-6, no. 4, pp. 442–450, 1984.
20. M. Kass and A. Witkin, “Analyzing oriented patterns,” Comput. Vision, Graph. Image Processing, vol. 37, pp. 362–385, 1987.
21. S. Uras, F. Girosi, A. Verri, and V. Torre, “A computational approach to motion perception,” Biol. Cybern., vol. 60, pp. 79–87, 1988.
22. J. Freund, Mathematical Statistics. Englewood Cliffs, NJ: Prentice-Hall, 1971.
23. M.V. Berry and J.H. Hannay, “Umbilic points on Gaussian random surfaces,” J. Phys. A: Math. Gen., vol. 10, no. 11, pp. 1809–1821, 1977.
24. D.D. Hoffman and W.A. Richards, “Parts of recognition,” Cognition, vol. 18, pp. 65–96, 1984.
25. T.J. Fan, G. Medioni, and R. Nevatia, “Segmented description of 3-D surfaces,” IEEE J. Robot. Automation, vol. RA-3, no. 6, pp. 527–538, Dec. 1987.
26. P.T. Sander and S.W. Zucker, “Stable surface estimation,” in Proc. 8th Int. Conf. Pattern Recognition, Paris, France, Oct. 1986, pp. 1165–1167.
27. W.A. Martin and R.J. Fateman, “The MACSYMA system,” in Proc. 2nd Symp. Symbolic and Algebraic Manipulation, S.R. Petrick, Ed., SIGSAM, Assoc. Comput. Mach., 1971, pp. 59–75.
28. B.W. Char, K.O. Geddes, G.H. Gonnet, and S.W. Watt, Maple Reference Manual, 4th ed. Waterloo, ON, Canada: Dep. Comput. Sci., Univ. of Waterloo, 1985.