https://orcid.org/0000-0002-1931-2464
References
- J.C. Alexander and A.I. Thaler, The boundary count of digital pictures, J. ACM. 18 (1971), pp. 105–112. doi: 10.1145/321623.321634
- N. Boutry, R. Gonzalez-Diaz, and M.J. Jimenez, Weakly well-composed cell complexes over nD pictures, Inf. Sci. (NY) 499 (2019), pp. 62–83. doi: 10.1016/j.ins.2018.06.005
- V.E. Brimkov, G. Nordo, R.P. Barneva, and A. Maimone, Genus and dimension of digital images and their time-and-space-efficient computation, Int. J. Shape Model. 14(2) (2008), pp. 147–168. doi: 10.1142/S0218654308001129
- L. Chen and D. Coeurjolly, Digital Geometry, a Survey, 2018. preprint arXiv:1807.02222.
- R.C. Gonzalez and R.E. Woods, Digital Image Processing, 4th ed. Pearson Prentice Hall, New York, 2018.
- S. Jonghoon, C. Seungho, and S. Jinwook, Fast contour-Tracing algorithm based on a pixel-Following method for image sensors, MDPI Sensors 16(3) (2016), pp. 353. doi: 10.3390/s16030353
- P. Kardos and K Palágyi, Topology-preserving hexagonal thinning, Int. J. Comput. Math. 90(8) (2013), pp. 1607–1617. doi: 10.1080/00207160.2012.724198
- E. Khalimsky, R. Kopperman, and P.R. Meyer, Computer graphics and connected topologies on finite ordered sets, Topol. Appl. 36 (1990), pp. 1–17. doi: 10.1016/0166-8641(90)90031-V
- T.Y. Kong, A topological approach to digital topology, Am. Math. Mon. 98 (1991), pp. 901–917. doi: 10.1080/00029890.1991.12000810
- T.Y. Kong and A. Rosenfeld, If we use 4- or 8-connectedness for both the objects and the background, the Euler characteristic is not locally computable, Pattern. Recognit. Lett. 11 (1990), pp. 231–232. doi: 10.1016/0167-8655(90)90060-F
- V. Kovalevsky, Finite topology as applied to image analysis, Comput. Vis. Graph. Im. Proc. 46(2) (1989), pp. 141–161. doi: 10.1016/0734-189X(89)90165-5
- V. Kovalevsky, Algorithms in digital geometry based on cellular topology, Combinatorial image analysis, 2004, pp. 366–393.
- V. Kovalevsky, Axiomatic digital topology, J. Math. Imaging Vis. 26 (2006), pp. 41–58. doi: 10.1007/s10851-006-7453-6
- V. Kovalevsky, Geometry of Locally Finite Spaces: Computer Agreeable Topology and Algorithms for Computer Imagery(Monograph), Dr. Baerbel Kovalevski Publishing, Berlin, 2008.
- A. Rosenfeld, Adjacency in digital pictures, Info. Control 26 (1974), pp. 24–33. doi: 10.1016/S0019-9958(74)90696-2
- A. Rosenfeld, Digital topology, Am. Math. Mon. 86 (1979), pp. 621–630. doi: 10.1080/00029890.1979.11994873
- A. Rosenfeld, Three dimensional digital topology, Info. Control 50 (1981), pp. 119–127. doi: 10.1016/S0019-9958(81)90177-7
- P.K. Saha, R. Strand, and G. Borgefors, Digital topology and geometry in medical imaging: a survey, IEEE. Trans. Med. Imaging. 34(9) (2015), pp. 1940–1964. doi: 10.1109/TMI.2015.2417112
- G. Sai Sundara Krishnan and N Vijaya, Algorithm on tracing the boundary of medical images using abstract cellular complex, International conference on Machine vision and Image processing (MVIP), IEEE-Xplore, Taipei, 2012, pp. 141–144.
- H. Schulz, S. Fuchs, and V.A Kovalevsky, Analysis and Structured Representation of the Theory of Abstract Cell Complexes Applied to Digital Topology and Digital Geometry, Technischer Bericht, TU Dresden, TUD-FI03-17, 2003.