Problems in geometric probing
Tài liệu tham khảo
R. Cole and C. K. Yap, Shape from Probing,Journal of Algorithms,8(1), pp. 19–38 (1987).
J. T. Schwartz and M. Sharir, Some Remarks on Robot Vision, Courant Institute of Mathematical Sciences, New York University, New York (April 1984).
P. C. Gaston and T. Lozano-Perez, Tactile Recognition and Localization Using Object Models: The Case of Polyhedra on a Plane,IEEE Transactions on Pattern Analysis and Machine Intelligence,6, pp. 257–266 (May 1984).
W. E. L. Crimson and T. Lozano-Perez, Model-Based Recognition and Localization from Sparse Range or Tactile Data,Internationaljournal of Robotics Research,3, pp. 3–35 (Fall 1984).
W. E. L. Grimson and T. Lozano-Perez, Localizing Overlapping Parts by Searching the Interpretation Tree,IEEE Transactions on Pattern Recognition and Machine Intelligence,9, pp. 469–482 (July 1987).
R. E. Ellis, E. M. Riseman, and A. R. Hanson, Tactile Recognition by Probing: Identifying a Polygon on a Plane,Proceedings of the American Association of Artificial Intelligence Conference, pp. 632–637 (1986).
W. E. L. Crimson, Sensing Strategies for Disambiguating Among Multiple Objects in Known Poses,IEEE Journal of Robotics and Automation,2, pp. 196–213 (December 1986).
W. E. L. Grimson, The Combinatorics of Local Constraints in Model-Based Recognition and Localization from Sparse Data,Journal of the Association for Computing Machinery,33, pp. 658–686 (October 1986).
J. P. Greschak, Reconstructing Convex Sets, Ph.D. Dissertation, Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA (1985).
S. S. Skiena, Geometric Probing, Doctoral Dissertation, Department of Computer Science, University of Illinois, Urbana, IL (1988).
L. S. Narasimhan, Recognition of Polyhedral Objects: Concepts and Algorithms, Doctoral Dissertation, School of Management Science, University of Texas, Dallas, TX (1988).
S. Y. R. Li, Reconstruction of Polygons from Projections,Information Processing Letters,28, pp. 235–240 (1988).
H. J. Bernstein, Determining the Shape of a Convexn-sided Polygon by Using 2n +k Tactile Probes,Information Processing Letters,22, pp. 255–260 (1986).
B. K. Natarajan, On Detecting the Orientation of Polygons and Polyhedra,Proceedings of the Third ACM Symposium on Computational Geometry,3, pp. 146–152 (1987).
D. P. Dobkin, H. Edelsbrunner, and C. K. Yap, Probing Convex Polytopes,Proceedings of the 18th ACM Symposium on the Theory of Computing, pp. 424–432 (1986).
G. T. Herman,Image Reconstruction from Projections: the Fundamentals of Computerized Tomography, Academic Press, New York (1980).
H. Edelsbrunner and S. S. Skiena, Probing Convex Polygons with X-rays,SIAM Journal on Computing,17, pp. 870–882 (1988).
S. S. Skiena,Probing Convex Polygons with Half-Planes, submitted for publication.
P. C. Hammer, Problem 2, pp. 498–499 inProceedings of the Symposium on Pure Mathematics, vol. VII:Convexity, American Mathematical Society, Providence, RI (1963).
R. J. Gardner and P. McMullen, On Hammer's X-ray Problem,Journal of the London Mathematical Society,21, pp. 171–175 (1980).
K. J. Falconer, X-ray Problems for Point Sources,Proceedings of the London Mathematical Society (3),46, pp. 241–262 (1983).
K. J. Falconer, Hammer's X-Ray Problem and the Stable Manifold Theorem,Journal of the London Mathematical Society (2),28, pp. 149–160 (1983).
R. J. Gardner, Symmetrals and X-rays of Planar Convex Bodies,Archiv der Mathematik,41, pp. 183–189 (1983).
J. A. Reeds, L. A. Shepp, P. C. Fishburn, and J. C. Lagarias, Sets Uniquely Determined by Projections, AT&T Bell Laboratories, Murray Hill, NJ (July 1986).
S. S. Skiena, Counting the Number ofk- Projections of a Point Set,Journal of Combinatorial Theory, Series A (to appear).
S. S. Skiena, Reconstructing Graphs from Cut-set Sizes,Information Processing Letters (to appear).
F. Harary and E. M. Palmer,Graphical Enumeration, Academic Press, New York (1973).