The Resource A Generative Theory of Shape, by Michael Leyton, (electronic resource)

A Generative Theory of Shape, by Michael Leyton, (electronic resource)

Label
A Generative Theory of Shape
Title
A Generative Theory of Shape
Statement of responsibility
by Michael Leyton
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Leyton, Michael
Dewey number
516
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
4L18Ll9qlaw
Image bit depth
0
Language note
English
LC call number
  • TA1637-1638
  • TA1634
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Computer Science,
Series volume
2145
http://library.link/vocab/subjectName
  • Computer vision
  • Geometry
  • Computer science
  • Computer graphics
  • Group theory
  • Computer aided design
  • Image Processing and Computer Vision
  • Geometry
  • Computer Applications
  • Computer Graphics
  • Group Theory and Generalizations
  • Computer-Aided Engineering (CAD, CAE) and Design
Label
A Generative Theory of Shape, by Michael Leyton, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2001.
Extent
1 online resource (XV, 549 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540454885
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/3-540-45488-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000016865
  • (SSID)ssj0000323450
  • (PQKBManifestationID)11243265
  • (PQKBTitleCode)TC0000323450
  • (PQKBWorkID)10299609
  • (PQKB)10305450
  • (DE-He213)978-3-540-45488-5
  • (MiAaPQ)EBC3073251
  • (EXLCZ)991000000000016865
Label
A Generative Theory of Shape, by Michael Leyton, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2001.
Extent
1 online resource (XV, 549 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540454885
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/3-540-45488-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000016865
  • (SSID)ssj0000323450
  • (PQKBManifestationID)11243265
  • (PQKBTitleCode)TC0000323450
  • (PQKBWorkID)10299609
  • (PQKB)10305450
  • (DE-He213)978-3-540-45488-5
  • (MiAaPQ)EBC3073251
  • (EXLCZ)991000000000016865

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