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Scale-imprecision space

Griffin, LD; (1997) Scale-imprecision space. Image and Vision Computing , 15 (5) 369 - 398. 10.1016/S0262-8856(97)87979-6.

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It is argued that image measurements should satisfy two requirements of physical plausibility: the measurements are of non-zero scale and non-zero imprecision; and two required invariances, nothing is lost by expanding the image and nothing is lost by increasing the contrast of the image. A model of measurements satisfying these constraints, based on blurring the graph of the incident luminance, is described. Within this framework, several types of filtering can be expressed: mean filtering (ordinary scale space); median filtering; and mode filtering. It is found that of these possibilities, a system based on mode filtering produces interesting results. In particular, edges-defined as discontinuities-naturally appear, and their behaviour over scale and imprecision is presented.

Type: Article
Title: Scale-imprecision space
DOI: 10.1016/S0262-8856(97)87979-6
Publisher version: http://dx.doi.org/10.1016/S0262-8856(97)87979-6
Keywords: Measurement theory, edge detection, visual invariances, median filtering
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science
UCL > School of BEAMS > Faculty of Engineering Science > Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/74208
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