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Více informací o knize A Generative Theory of Shape

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Computing & information technology Computer science Image processing

• Plný název: A Generative Theory of Shape
• Autor: Michael Leyton
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 549
• EAN: 9783540427179
• ISBN: 3540427171
• ID: 02710670
• Nakladatelství: Springer, Berlin
• Hmotnost: 822 g
• Rozměry: 233 × 155 × 29 mm
• Rok vydání: 2001

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