Abstract
Any continuous model of some class of real objects should on the one hand be able to reflect relevant shape properties as exactly as possible, and on the other hand should be mathematically tractable, in the sense that it should allow for precise, formal description of the relevant properties. For example, it does not make much sense to model the boundaries of 2D projections of real objects as all possible curves in ℝ2. This class is too general to allow us to formally describe any shape properties of sets in this class and there are curves with very unnatural properties (e.g., plane filling curves). Therefore, some restrictions must be added.
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© 1998 Springer Science+Business Media Dordrecht
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Latecki, L.J. (1998). Continuous Representations of Real Objects. In: Discrete Representation of Spatial Objects in Computer Vision. Computational Imaging and Vision, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9002-0_6
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DOI: https://doi.org/10.1007/978-94-015-9002-0_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4982-7
Online ISBN: 978-94-015-9002-0
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