On the Topological Properties of Quantized Spaces, I. The Notion of Dimension

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On the Topological Properties of Quantized Spaces, I. The Notion of Dimension

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Journal of the ACM (JACM) archive
Volume 18 , Issue 2 (April 1971) table of contents

Pages: 239 - 246

Year of Publication: 1971

ISSN:0004-5411

Authors

J. P. Mylopoulos	Princeton University, Department of Electrical Engineering, Princeton, New Jersey
T. Pavlidis	Princeton University, Department of Electrical Engineering, Princeton, New Jersey

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 0, Downloads (12 Months): 20, Citation Count: 6

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	FREEMAN, H. On the encoding of arbitrary geometric configurations. IRE Trans. ECIO (1961), 260-268.
	2	FEDER, J. Languages of encoded line patterns. Inform. Contr. 13 (1968), 230-244.
	3	Perceptrons: An Introduction to Computational Geometry, The MIT Press, 1969
	4	BLUM, M., AND tIEwITT, C. Automata on a 2-dimensional tape. Proc. 9th Annual IEEE Conf. Switching and Automata Theory (1968), 155-160.
	5	Azriel Rosenfeld, Connectivity in Digital Pictures, Journal of the ACM (JACM), v.17 n.1, p.146-160, Jan. 1970 [doi>10.1145/321556.321570]
	6	SKLANSKY, J. Recognition of convex blobs. Pattern Recognition 2 (1970), 3-10.
	7	Louis Hodes, The Logical Complexity of Geometric Properties in the Plane, Journal of the ACM (JACM), v.17 n.2, p.339-347, April 1970 [doi>10.1145/321574.321587]
	8	G. Ugo Montanari, On Limit Properties in Digitization Schemes, Journal of the ACM (JACM), v.17 n.2, p.348-360, April 1970 [doi>10.1145/321574.321588]
	9	FELL, H.J. Refinement topologies and convergent predicates. Ph.D. Th., M.I.T., June 1969.
	10	J. P. Mylopoulos , T. Pavlidis, On the Topological Properties of Quantized Spaces, II. Connectivity and Order of Connectivity, Journal of the ACM (JACM), v.18 n.2, p.247-254, April 1971 [doi>10.1145/321637.321645]
	11	HUREWICZ, W., AND WALLMAN, H. Dimension Theory. Princeton U. Press, Princeton, N. J., 1941.
	12	KELLEY, J.L. General Topology, Van Nostrand, Princeton, N. J., 1955.
	13	John P. Mylopoulos, On the definition and recognition of patterns in discrete spaces, 1970

CITED BY 6

	Azriel Rosenfeld, Progress in Picture Processing: 1969--71, ACM Computing Surveys (CSUR), v.5 n.2, p.81-108, June 1973
	Sargur N. Srihari, Representation of Three-Dimensional Digital Images, ACM Computing Surveys (CSUR), v.13 n.4, p.399-424, Dec. 1981
	J. P. Mylopoulos , T. Pavlidis, On the Topological Properties of Quantized Spaces, II. Connectivity and Order of Connectivity, Journal of the ACM (JACM), v.18 n.2, p.247-254, April 1971
	Gerd Woetzel, A fast and economic scan-to-line-conversion algorithm, ACM SIGGRAPH Computer Graphics, v.12 n.3, p.125-129, August 1978
	Azriel Rosenfeld, Arcs and Curves in Digital Pictures, Journal of the ACM (JACM), v.20 n.1, p.81-87, Jan. 1973
	Valentin E. Brimkov, Formulas for the number of (n-2)-gaps of binary objects in arbitrary dimension, Discrete Applied Mathematics, v.157 n.3, p.452-463, February, 2009