Abstract
The notion of negative shape is that it is an artifice suggested in algebra on various occasions when geometric problems are translated into the language of algebra. Though the notion appears to be very useful, its significance and potential have hardly been explored till this day. In this paper two such cases are considered, namely, an algebraic formulation of Minkowski addition of two geometric objects and an analytic formulation of the area/volume of an object, and it is shown how such formulations indicate the negative shape notion. By means of a mixed area/volume concept, it is shown that negative shape notions derived from the two formulations are exactly identical. The usefulness of the negative shape concept is also briefly indicated.
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© 1994 Springer-Verlag Berlin Heidelberg
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Ghosh, P.K. (1994). On Negative Shape. In: O, YL., Toet, A., Foster, D., Heijmans, H.J.A.M., Meer, P. (eds) Shape in Picture. NATO ASI Series, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03039-4_15
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DOI: https://doi.org/10.1007/978-3-662-03039-4_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08188-0
Online ISBN: 978-3-662-03039-4
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