References

ACTIONS OF AUTOMORPHISM GROUPS IN A DIGITAL COVERING SPACE


[1] R. Ayala, E. Domingues, A. R. Frances and A. Quintero, Digital homotopy with obstacles, Discrete Applied Mathematics 139 (2004), 5-30.

[2] G. Bertrand, Simple points, topological numbers and geodesic neighbourhoods in cubic grids, Pattern Recognition Letters 15 (1994), 1003-1011.

[3] L. Boxer, Digitally continuous functions, Pattern Recognition Letters 15 (1994), 833-839.

[4] L. Boxer, A classical construction for the digital fundamental group, Journal of Mathematical Imaging and Vision 10 (1999), 51-62.

[5] L. Boxer, Properties of digital homotopy, Journal of Mathematical Imaging and Vision 22 (2005), 19-26.

[6] L. Boxer, Homotopy properties of sphere-like digital images, Journal of Mathematical Imaging and Vision 24 (2006), 167-175.

[7] L. Boxer, Digital products, wedges, and covering spaces, Journal of Mathematical Imaging and Vision 25 (2006), 159-171.

[8] L. Boxer, Fundamental groups of unbounded digital images, Journal of Mathematical Imaging and Vision 27 (2007), 121-127.

[9] L. Boxer and I. Karaca, The classification of digital covering spaces, Journal of Mathematical Imaging and Vision 32 (2008), 23-29.

[10] L. Boxer and I. Karaca, Some properties of digital covering spaces, Journal of Mathematical Imaging and Vision 37 (2010), 17-26.

[11] L. Chen, Gradually varied surfaces and its optimal uniform approximation, SPIE Proceedings 2182 (1994), 300-307.

[12] L. Chen, Discrete Surfaces and Manifolds, Scientific & Practical Computing, Rockville, MD, 2004.

[13] S.-E. Han, Digital coverings and their applications, Journal of Applied Mathematics and Computing 18 (2005), 487-495.

[14] S.-E. Han, Non-product property of the digital fundamental group, Information Sciences 171 (2005), 73-91.

[15] S.-E. Han, The k-fundamental group of a closed k-surface, Information Sciences 177 (2007), 3731-3748.

[16] S.-E. Han, Equivalent -covering and generalized digital lifting, Information Sciences 178 (2008), 550-561.

[17] G. T. Herman, Oriented surfaces in digital spaces, CVGIP: Graphical Models and Image Processing 55 (1993), 381-396.

[18] E. Khalimsky, Motion, deformation, and homotopy in finite spaces, Proceedings IEEE International Conference on Systems, Man, and Cybernetics (1987), 227-234.

[19] E. Khalimsky, R. Kooperman and P. R. Meyer, Computer graphics and connected topologies on finite ordered sets, Topology Appl. 36(1) (1990), 1-19.

[20] T. Y. Kong, A digital fundamental group, Computers and Graphics 13 (1989), 159-166.

[21] V. Kovalevsky, Finite topology as applied to image analysis, Computer Vision, Graphics and Image Processing 46 (1989), 141-161.

[22] R. Malgouyres, Homotopy in two-dimensional digital images, Theoretical Computer Science 230 (2000), 221-233.

[23] W. S. Massey, Algebraic Topology, Springer-Verlag, New York, 1977.

[24] A. Rosenfeld, Digital topology, American Mathematical Monthly 86 (1979), 76-87.

[25] A. Rosenfeld, ‘Continuous’ functions on digital pictures, Pattern Recognition Letters 4 (1986), 177-184.

[26] Q. F. Stout, Topological Matching, in Proc. 15th Annual Symp. on Theory of Computing (1983), 24-31.