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Shape Uncertainty of Lines and Surfaces

The shape of digital models of line and surface phenomena is always uncertain. First, the conceptual model introduces uncertainty because it is based on incomplete knowledge and involves deliberate simplifications of the real-world phenomenon. Second, the digital reconstruction of the phenomenon, i.e. its mathematical specification is an idealized representation of shape deviating from the conceptual model to some degree. Third, the digital data is represented by discrete digital numbers with limited precision. Finally, the measurements themselves are of course affected by errors and uncertainty.