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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Leyton, Michael (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Έκδοση:1st ed. 2001.
Σειρά:Lecture Notes in Computer Science, 2145
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 04636nam a2200613 4500
001 978-3-540-45488-5
003 DE-He213
005 20191026022214.0
007 cr nn 008mamaa
008 121227s2001 gw | s |||| 0|eng d
020 |a 9783540454885  |9 978-3-540-45488-5 
024 7 |a 10.1007/3-540-45488-8  |2 doi 
040 |d GrThAP 
050 4 |a TA1630-1650 
072 7 |a UYT  |2 bicssc 
072 7 |a COM012000  |2 bisacsh 
072 7 |a UYT  |2 thema 
072 7 |a UYQV  |2 thema 
082 0 4 |a 006.6  |2 23 
082 0 4 |a 006.37  |2 23 
100 1 |a Leyton, Michael.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 2 |a A Generative Theory of Shape  |h [electronic resource] /  |c by Michael Leyton. 
250 |a 1st ed. 2001. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2001. 
300 |a XV, 549 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Computer Science,  |x 0302-9743 ;  |v 2145 
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. 
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 0 |a Optical data processing. 
650 0 |a Geometry. 
650 0 |a Application software. 
650 0 |a Computer graphics. 
650 0 |a Group theory. 
650 0 |a Computer-aided engineering. 
650 1 4 |a Image Processing and Computer Vision.  |0 http://scigraph.springernature.com/things/product-market-codes/I22021 
650 2 4 |a Geometry.  |0 http://scigraph.springernature.com/things/product-market-codes/M21006 
650 2 4 |a Computer Applications.  |0 http://scigraph.springernature.com/things/product-market-codes/I23001 
650 2 4 |a Computer Graphics.  |0 http://scigraph.springernature.com/things/product-market-codes/I22013 
650 2 4 |a Group Theory and Generalizations.  |0 http://scigraph.springernature.com/things/product-market-codes/M11078 
650 2 4 |a Computer-Aided Engineering (CAD, CAE) and Design.  |0 http://scigraph.springernature.com/things/product-market-codes/I23044 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783662207628 
776 0 8 |i Printed edition:  |z 9783540427179 
830 0 |a Lecture Notes in Computer Science,  |x 0302-9743 ;  |v 2145 
856 4 0 |u https://doi.org/10.1007/3-540-45488-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-SCS 
912 |a ZDB-2-LNC 
912 |a ZDB-2-BAE 
950 |a Computer Science (Springer-11645)