Representation of Imprecise Digital Objects

Isabelle Sivignon 1, *
* Auteur correspondant
1 GIPSA-AGPIG - AGPIG
GIPSA-DIS - Département Images et Signal
Abstract : In this paper, we investigate a new framework to handle noisy digital objects. We consider digital closed simple 4-connected curves that are the result of an imperfect digital conversion (scan, picture, etc), and call digital imprecise contours such curves for which an imprecision value is known at each point. This imprecision value stands for the radius of a ball around each point, such that the result of a perfect digitization lies in the union of all the balls. In the first part, we show how to define an imprecise digital object from such an imprecise digital contour. To do so, we define three classes of pixels : inside, outside and uncertain pixels. In the second part of the paper, we build on this definition for a volumetric analysis (as opposed to contour analysis) of imprecise digital objects. From so-called toleranced balls, a filtration of objects, called λ-objects is defined. We show how to define a set of sites to encode this filtration of objects.
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Communication dans un congrès
Discrete Geometry for Computer Imagery, Apr 2016, Nantes, France. Springer, LNCS 9647, pp.401-414, 2016, Discrete Geometry for Computer Imagery. <10.1007/978-3-319-32360-2_31>
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Isabelle Sivignon. Representation of Imprecise Digital Objects. Discrete Geometry for Computer Imagery, Apr 2016, Nantes, France. Springer, LNCS 9647, pp.401-414, 2016, Discrete Geometry for Computer Imagery. <10.1007/978-3-319-32360-2_31>. <hal-01313192>

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