Event overview
+44 (0)20 7078 5052
On Friday November 24, Prof. Michael Leyton, Center for Discrete Mathematics & Theoretical Computer Science, from Rutgers University will be in London to talk about his book, ‘A Generative Theory of Shape’.
Abstract:
"This talk gives an introduction to my book ‘A Generative Theory of Shape’ (Springer-Verlag, 2001). The purpose of the book is to develop a generative theory that has two properties regarded as fundamental to intelligence – maximizing transfer of structure and maximizing recoverability of the generative operations. These two properties are particularly
important in the representation of complex shape – which is the main concern of the book. The primary goal of the theory is the conversion of complexity into understandability. For this purpose,
a mathematical theory is presented of how understandability is created in a structure. This is achieved by developing a group-theoretic approach to formalizing transfer and recoverability.
To handle complex shape, a new class of groups is invented, called unfolding groups. These unfold structure from a maximally collapsed version of that structure. A principal aspect of the theory is that it develops a new algebraic formalization of major object-oriented concepts such as inheritance. The consequence is an object-oriented theory of geometry. As a result, the book establishes a representational language for product and project description, that is interoperable by virtue of the principles on which the theory is based: transfer (reusability) and recoverability (traceability). Most crucially, in this theory, intelligence is brought into the very foundations of geometry."
Dates & times
| Date | Time | Add to calendar |
|---|---|---|
| 24 Nov 2006 | 12:00pm - 1:00pm |
Accessibility
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