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  Form, Space and Object: Geometrical Transformations in Object Recognition and Categorization

Graf, M. (2002). Form, Space and Object: Geometrical Transformations in Object Recognition and Categorization. PhD Thesis, Wissenschaftlicher Verlag Berlin, Berlin, Germany.

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Graf, M1, Author              
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 Abstract: In order to recognize an object, the visual system has to solve two basic problems: The first one is how to recognize an object after spatial transformations, i.e. regardless of its orientation, size and position. The second problem refers to the question how we perceive and categorize different objects as members of the same category. A central hypothesis in this book is that both problems have a similar structure, and can be conceptualized within an integrative transformational account, based on concepts from geometry: Recognition after spatial transformations, on one hand, relies on Euclidean transformation processes that are conceptualized as frame transformations (or coordinate transformations). Categorization up to the basic level, on the other hand, can be accounted for by non-Euclidean topological (i.e. potentially space-curving) transformations. Thus, an integrative theory of recognition and categorization is suggested, based on a process-based interpretation of Felix Klein’s Erlanger Program.

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 Dates: 2002
 Publication Status: Published in print
 Pages: 285
 Publishing info: Berlin, Germany : Wissenschaftlicher Verlag Berlin
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISBN: 3-932089-91-X
BibTex Citekey: 1870
 Degree: PhD

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