A generative theory of shape
The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence (1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the g...
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| Format: | Livre numérique |
| Jezik: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in computer science
2145 |
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| Edition sous un autre format: | • A generative theory of shape, Michael Leyton, Berlin, Springer, 2001, 1 vol. (XVI-554 p.), Lecture notes in computer science, 3-540-42717-1 • A Generative Theory of Shape, Texte imprimé, 9783662207628 |
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| 100 | 1 | |a Leyton, Michael. | |
| 245 | 1 | 0 | |a A generative theory of shape |c Michael Leyton. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in computer science |v 2145 |x 1611-3349 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Transfer -- Recoverability -- Mathematical Theory of Transfer, I -- Mathematical Theory of Transfer, II -- Theory of Grouping -- Robot Manipulators -- Algebraic Theory of Inheritance -- Reference Frames -- Relative Motion -- Surface Primitives -- Unfolding Groups, I -- Unfolding Groups, II -- Unfolding Groups, III -- Mechanical Design and Manufacturing -- A Mathematical Theory of Architecture -- Solid Structure -- Wreath Formulation of Splines -- Wreath Formulation of Sweep Representations -- Process Grammar -- Conservation Laws of Physics -- Music -- Against the Erlanger Program. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence (1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall show that, if generativity satis?es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ?ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ?ber group. | ||
| 650 | |a Programmation géométrique | ||
| 650 | |a Théorie de la forme (topologie) | ||
| 650 | |a Informatique | ||
| 650 | |a Traitement d'images | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Géométrie | ||
| 650 | |a Ingénierie assistée par ordinateur | ||
| 776 | 0 | |0 059269979 |t A generative theory of shape |f Michael Leyton |c Berlin |n Springer |d 2001 |p 1 vol. (XVI-554 p.) |s Lecture notes in computer science |z 3-540-42717-1 | |
| 776 | 0 | |t A Generative Theory of Shape |b Texte imprimé |z 9783662207628 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-45488-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3BWQJ525-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748063145 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/3-540-45488-8 |z Accès Université d'Orléans | |
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