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Process Grammar

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2145))

Abstract

The purpose of this chapter is to describe a grammar that we elaborated in Leyton [94], [96], to describe curve evolution with respect to a set of landmarks in that evolution. These landmarks are given by the curvature extrema. The grammar therefore relates the curvature extrema along the curve evolution. It accords with the theory of this book, in that the grammar is a symmetry-breaking grammar; i.e., it proceeds by a succession of symmetry-breaking phase-transitions. Since the grammar has been substantially discussed in Chapters 1 and 2 of our previous book (Leyton [96]), it will be described only briefly in the present chapter.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Process Grammar. In: A Generative Theory of Shape. Lecture Notes in Computer Science, vol 2145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45488-8_19

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  • DOI: https://doi.org/10.1007/3-540-45488-8_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42717-9

  • Online ISBN: 978-3-540-45488-5

  • eBook Packages: Springer Book Archive

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