Shape as Memory Storage - Ambient Intelligence for Scientific Discovery - page 103

that do not store the effects of actions applied to them. The invariants program
was defined in Euclid's concept of congruence, and generalized by Klein in the
nineteenth century, to become the basis of modern mathematics and physics.
In contrast, the new foundations elaborated in my topics, take the opposite
program, that of making geometry not the study of invariants, the memoryless
properties, but making geometry the study of those properties from which past
applied actions can be inferred, i.e., the memory stores.
References
1. Blum, H.: Biological shape and visual science. Journal of Theoretical Biology ,
38 (1973) 205-287
2. Lee, J.P.: Scientific Visualization with Glyphs and Shape Grammars. Master's The-
sis, School for Visual Arts, New York. (1991)
3. Leyton, M.: Symmetry-curvature duality. Computer Vision, Graphics, and Image
Processing, 38 , . (1987b) 327-341
4. Leyton, M.: A Limitation Theorem for the Differential Prototypification of Shape.
Journal of Mathematical Psychology, 31 . (1987d) 307-320
5. Leyton, M.: A Process-Grammar for Shape. Artificial Intelligence, 34 . (1988) 213-
247.
6. Leyton, M.: Inferring Causal-History from Shape. Cognitive Science, 13 . (1989)
357-387
7. Leyton, M.: Symmetry, Causality, Mind. Cambridge, Mass: MIT Press. (1992)
8. Leyton, M.: A Generative Theory of Shape. Berlin: Springer-Verlag. (2001)
9. Milios, E.E.: Shape matching using curvature processes. Computer Vision, Graph-
ics, and Image Processing , 47 . (1989) 203-226.
10. Pernot, J-P., Guillet, S., Leon, J-C., Falcidieno, B., & Giannini, F.: Interactive
Operators for free form features manipulation. In SIAM conference on CADG,
Seattle, 2003. (2003)
11. Shemlon, S.: The Elastic String Model of Non-Rigid Evolving Contours and its
Applications in Computer Vision . PhD Thesis, Rutgers University. (1994)