dc.contributor.author |
Klette, Reinhard |
en |
dc.contributor.author |
Zunic, Jovisa |
en |
dc.date.accessioned |
2008-08-21T01:56:01Z |
en |
dc.date.available |
2008-08-21T01:56:01Z |
en |
dc.date.issued |
2000 |
en |
dc.identifier.citation |
Communication and Information Technology Research Technical Report 63, (2000) |
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dc.identifier.issn |
1178-3682 |
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dc.identifier.uri |
http://hdl.handle.net/2292/2719 |
en |
dc.description |
You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the original CITR web site; http://citr.auckland.ac.nz/techreports/ under terms that include this permission. All other rights are reserved by the author(s). |
en |
dc.description.abstract |
The conceptual design of many procedures used in image analysis starts with models which assume as an input sets in Euclidean space which we regard as real objects. However, the application finally requires that the Euclidean (real) objects have to be modelled by digital sets, i.e. they are approximated by their corresponding digitizations. Also "continuous" operations (for example integrations or differentiations) are replaced by "discrete" counterparts (for example summations or differences) by assuming that such an replacement has only a minor impact on the accuracy or efficiency of the implemented procedure. This paper discusses applications of results in number theory with respect to error estimations, accuracy evalua- tions, correctness proofs etc. for image analysis procedures. Knowledge about digitization errors or approximation errors may help to suggest ways how they can be kept under required limits. Until now have been only minor impacts of image analysis on developments in number theory, by defining new problems, or by specifying ways how existing results may be discussed in the context of image analysis. There might be a more fruitful exchange between both disciplines in the future. |
en |
dc.publisher |
CITR, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
Communication and Information Technology Research (CITR) Technical Report Series |
en |
dc.rights |
Copyright CITR, The University of Auckland. You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the original CITR web site under terms that include this permission. All other rights are reserved by the author(s). |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://citr.auckland.ac.nz/techreports/2000/CITR-TR-63.pdf |
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dc.title |
Interactions between Number Theory and Image |
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dc.type |
Technical Report |
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dc.subject.marsden |
Fields of Research::280000 Information, Computing and Communication Sciences |
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