Theory of Design
نویسنده
چکیده
This paper gives an introduction to some of the basic concepts in the book, A Generative Theory of Shape (Michael Leyton, Springer-Verlag, 2001). The book develops a new mathematical theory of design, and supports this theory with lengthy analyses of mechanical CAD/CAM, architectural CAD, solid modeling, kinematics, etc., as well as the principal areas of perception, such as visual grouping. Of central concern is how complex design tasks are made understandable and structured intelligently. For this, new classes of algebraic structures are invented that embody understandability and intelligence. These structures are called unfolding groups. They unfold structure from a maximally collapsed version of that structure, in such a way that exploits transfer of existing structure and recoverability of generative operations. A principal aspect of the theory is that it develops an algebraic formalization of object-orientedness. The result is what we believe to be the first object-oriented theory of geometry.
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