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The Resource A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource)
A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource)
Resource Information
The item A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
- Summary
- The purpose of the book is to develop a generative theory of shape that has two properties regarded as fundamental to intelligence - maximizing transfer of structure and maximizing recoverability of the generative operations. These two properties are particularly important in the representation of complex shape - which is the main concern of the book. The primary goal of the theory is the conversion of complexity into understandability. For this purpose, a mathematical theory is presented of how understandability is created in a structure. This is achieved by developing a group-theoretic approach to formalizing transfer and recoverability. To handle complex shape, a new class of groups is developed, called unfolding groups. These unfold structure from a maximally collapsed version of itself. A principal aspect of the theory is that it develops a group-theoretic formalization of major object-oriented concepts such as inheritance. The result is a mathematical language that brings interoperability into the very foundations of geometry. The book gives extensive applications of the theory to CAD/CAM, human and machine vision, robotics, software engineering, and physics. In CAD, lengthy chapters are presented on mechanical and architectural design. For example, using the theory of unfolding groups, the book works in detail through the main stages of mechanical CAD/CAM: part-design, assembly and machining. And within part-design, an extensive algebraic analysis is given of sketching, alignment, dimensioning, resolution, editing, sweeping, feature-addition, and intent-management. In robotics, several levels of analysis are developed for manipulator structure and kinematics. In software, a new theory is given of the principal factors such as text and class structure, object creation and modification, as well as inheritance and hierarchy prediction. In physics, a new theory is given of the conservation laws, and motion decomposition theorems in classical and quantum mechanics
- Language
- eng
- Extent
- XV, 549 p.
- 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
- Isbn
- 9783540454885
- Label
- A Generative Theory of Shape
- Title
- A Generative Theory of Shape
- Statement of responsibility
- edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen
- Language
- eng
- Summary
- The purpose of the book is to develop a generative theory of shape that has two properties regarded as fundamental to intelligence - maximizing transfer of structure and maximizing recoverability of the generative operations. These two properties are particularly important in the representation of complex shape - which is the main concern of the book. The primary goal of the theory is the conversion of complexity into understandability. For this purpose, a mathematical theory is presented of how understandability is created in a structure. This is achieved by developing a group-theoretic approach to formalizing transfer and recoverability. To handle complex shape, a new class of groups is developed, called unfolding groups. These unfold structure from a maximally collapsed version of itself. A principal aspect of the theory is that it develops a group-theoretic formalization of major object-oriented concepts such as inheritance. The result is a mathematical language that brings interoperability into the very foundations of geometry. The book gives extensive applications of the theory to CAD/CAM, human and machine vision, robotics, software engineering, and physics. In CAD, lengthy chapters are presented on mechanical and architectural design. For example, using the theory of unfolding groups, the book works in detail through the main stages of mechanical CAD/CAM: part-design, assembly and machining. And within part-design, an extensive algebraic analysis is given of sketching, alignment, dimensioning, resolution, editing, sweeping, feature-addition, and intent-management. In robotics, several levels of analysis are developed for manipulator structure and kinematics. In software, a new theory is given of the principal factors such as text and class structure, object creation and modification, as well as inheritance and hierarchy prediction. In physics, a new theory is given of the conservation laws, and motion decomposition theorems in classical and quantum mechanics
- http://library.link/vocab/creatorName
- Goos, Gerhard
- Image bit depth
- 0
- LC call number
-
- TA1637-1638
- TA1637-1638
- Literary form
- non fiction
- http://library.link/vocab/relatedWorkOrContributorName
-
- Hartmanis, Juris.
- Leeuwen, Jan.
- SpringerLink
- Series statement
- Lecture Notes in Computer Science,
- Series volume
- 2145
- http://library.link/vocab/subjectName
-
- Computer science
- Computer graphics
- Computer vision
- Computer aided design
- Group theory
- Geometry
- Computer Science
- Image Processing and Computer Vision
- Computer Graphics
- Geometry
- Group Theory and Generalizations
- Computer-Aided Engineering (CAD, CAE) and Design
- Label
- A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- 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
- Extent
- XV, 549 p.
- File format
- multiple file formats
- Form of item
- electronic
- Isbn
- 9783540454885
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/3-540-45488-8
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (DE-He213)978-3-540-45488-5
- Label
- A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- 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
- Extent
- XV, 549 p.
- File format
- multiple file formats
- Form of item
- electronic
- Isbn
- 9783540454885
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/3-540-45488-8
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (DE-He213)978-3-540-45488-5
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/portal/A-Generative-Theory-of-Shape-edited-by-Gerhard/hZm6xAkfKeA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/A-Generative-Theory-of-Shape-edited-by-Gerhard/hZm6xAkfKeA/">A Generative Theory of Shape, edited by Gerhard Goos, Juris Hartmanis, Jan Leeuwen, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>