Combinatorial Relations for Digital Pictures

1. Cohen-Or, D., Kaufman, A.: 3D Line Voxelization and Connectivity Control. IEEE Computer Graphics and Applications 17(6), 80–87 (1997)

   Article  Google Scholar 

2. Kaufman, A., Cohen, D., Yagel, R.: Volume Graphics. IEEE Computer 26(7), 51–64 (1993)

   Google Scholar 

3. Latecki, L., Eckhardt, U., Rosenfeld, A.: Well-Composed Sets. Computer Vision and Vision Understanding 61, 70–83 (1995)

   Article  Google Scholar 

4. Klette, R., Rosenfeld, A.: Digital Geometry – Geometric Methods for Digital Picture Analysis. Morgan Kaufmann, San Francisco (2004)

   MATH  Google Scholar 

5. Brimkov, V.E., Coeurjolly, D., Klette, R.: Digital Planarity – a Review. CITR-TR 142, Auckland (2004)

   Google Scholar 

6. Andres, E., Nehlig, P., Françon, J.: Tunnel-Free Supercover 3D Polygons and Polyhedra. In: Fellner, D., Szirmay-Kalos, L. (eds.) EUROGRAPHICS 1997, pp. C3–C13 (1997)

   Google Scholar 

7. Brimkov, V.E., Andres, E., Barneva, R.P.: Object Discretizations in Higher Dimensions. Pattern Recognition Letters 23, 623–636 (2002)

   Article  MATH  Google Scholar 

8. Andres, E., Acharya, R., Sibata, C.: Discrete Analytical Hyperplanes. Graphical Models and Image Processing 59, 302–309 (1997)

   Article  Google Scholar 

9. Brimkov, V.E., Maimone, A., Nordo, G., Barneva, R.P., Klette, R.: The Number of Gaps in Binary Pictures. In: Bebis, G., Boyle, R., Koracin, D., Parvin, B. (eds.) ISVC 2005. LNCS, vol. 3804, pp. 35–42. Springer, Heidelberg (2005)

   Chapter  Google Scholar 

10. Brimkov, V.E., Maimone, A., Nordo, G.: Counting Gaps in Binary Pictures. In: Reulke, R., Eckardt, U., Flach, B., Knauer, U., Polthier, K. (eds.) IWCIA 2006. LNCS, vol. 4040, pp. 16–24. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

11. Kong, T.Y.: Digital Topology. In: Davis, L.S. (ed.) Foundations of Image Understanding, pp. 33–71. Kluwer, Boston Massachusetts (2001)

    Google Scholar 

12. Kovalevsky, V.A.: Finite Topology as Applied to Image analysis. Computer Vision, Graphics and Image Processing 46(2), 141–161 (1989)

    Article  Google Scholar 

13. Brimkov, V.E., Klette, R.: Curves, Hypersurfaces, and Good Pairs of Adjacency Relations. In: Klette, R., Žunić, J. (eds.) IWCIA 2004. LNCS, vol. 3322, pp. 276–290. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

14. Mylopoulos, J.P., Pavlidis, T.: On the Topological Properties of Quantized Spaces. I. The Notion of Dimension. J. ACM 18, 239–246 (1971)

    MathSciNet  Google Scholar 

15. Dielissen, V.J., Kaldewaij, A.: Rectangular Partition is Polynomial in Two Dimensions but NP-complete in Three. Information Processing Letters 38, 1–6 (1991)

    Article  MATH  MathSciNet  Google Scholar 

16. Hershberger, J.E., Snoeyink, J.S.: Erased Arrangements of Lines and Convex Decompositions of Polyhedra. Computational Geometry: Theory and Applications 9, 129–143 (1998)

    MATH  MathSciNet  Google Scholar 

Download references