000 02118nam0a22003370004500
001 156063
010 _a3540427171
090 _a156063
100 _a20090214a2001 k y0pory50 ba
101 0 _aeng
102 _aPT
200 1 _aA Generative Theory of Shape (Lecture Notes in Computer Science, 2145)
_fMichael Leyton
210 _a[s.l]
_cSpringer
_d2001
215 _a554p.
225 2 _aLecture notes in computer science
330 _aIn this book, the author develops a generative theory of shape with two properties fundamental to intelligence: maximizing transfer of structure, and maximizing recoverability of generative operations. The theory is applied in considerable detail to CAD, perception, and robotics. A significant aspect of this book is the development of an object-oriented theory of geometry. This includes a group-theoretic formulation of object-oriented inheritance. In particular, a class of groups is developed called "unfolding groups", which define any complex shape as unfolded from a maximally collapsed version of itself called an "alignment kernel". The group is decomposed into levels corresponding to the inheritance hierarchy within the complex object. This achieves one of the main goals of the theory - the conversion of complexity into understandability. The advantages of the theory are demonstrated with lengthy studies of robot manipulators, perceptual organization, constructive solid geometry, assembly planning, architectural CAD, and mechanical CAD/CAM.
606 _953378
_aTeoria da forma
606 _954152
_aTopologia
606 _944923
_aProgramação geométrica
606 _953609
_aTeoria matemática
606 _948581
_aRobótica
606 _95230
_aÁlgebra
606 _937984
_aMúsica
606 _935835
_aMétodo e técnica
676 _a516
680 _aT57.825.L49 2001
700 1 _9158864
_aLeyton,
_bMichael ,
801 _aPT
_bCESEM
_c20090214
859 _u/Users/cesem/Library/Application Support/Book Collector/Images/A Generative Theory of Shape (Lecture No14827_f.jpg
942 _n0
_cMON
999 _a152605
_c2021-07-08
_bUNL-FCSH - GLOBAL