Authors: | Klette, Reinhard Žunić, Joviša |
Title: | Interactions between number theory and image analysis | Journal: | Proceedings of SPIE - The International Society for Optical Engineering | Volume: | 4117 | First page: | 210 | Last page: | 221 | Conference: | Vision Geometry IX; San Diego, CA, USA; 30 July 2000 through 31 July 2000 | Issue Date: | 1-Dec-2000 | ISSN: | 0277-786X | DOI: | 10.1117/12.404823 | 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 evaluations, 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. |
Publisher: | SPIE |
Show full item record
SCOPUSTM
Citations
6
checked on Apr 24, 2024
Page view(s)
45
checked on Apr 24, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.