A Generative Theory of Shape

A Generative Theory of Shape PDF Author: Michael Leyton
Publisher: Springer
ISBN: 3540454888
Category : Computers
Languages : en
Pages : 559

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Book Description
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.

A Generative Theory of Shape

A Generative Theory of Shape PDF Author: Michael Leyton
Publisher: Springer
ISBN: 3540454888
Category : Computers
Languages : en
Pages : 559

Get Book Here

Book Description
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.

A Generative Theory of Shape

A Generative Theory of Shape PDF Author: Michael Leyton
Publisher: Springer
ISBN: 9783540427179
Category : Computers
Languages : en
Pages : 549

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Book Description
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.

A Theory of Shape Identification

A Theory of Shape Identification PDF Author: Frédéric Cao
Publisher: Springer
ISBN: 3540684816
Category : Mathematics
Languages : en
Pages : 260

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Book Description
Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300. Technically speaking, there are two main issues. The first is extracting invariant shape descriptors from digital images. Indeed, a shape can be seen from various angles and distances and in various lights.

Process Grammar: The Basis of Morphology

Process Grammar: The Basis of Morphology PDF Author: Michael Leyton
Publisher: Springer Science & Business Media
ISBN: 1461418151
Category : Technology & Engineering
Languages : en
Pages : 557

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Book Description
Leyton's Process Grammar has been applied by scientists and engineers in many disciplines including medical diagnosis, geology, computer-aided design, meteorology, biological anatomy, neuroscience, chemical engineering, etc. This book demonstrates the following: The Process Grammar invents several entirely new concepts in biological morphology and manufacturing design, and shows that these concepts are fundamentally important. The Process Grammar has process-inference rules that give, to morphological transitions, powerful new causal explanations. Remarkably, the book gives a profound unification of biological morphology and vehicle design. The book invents over 30 new CAD operations that realize fundamentally important functions of a product. A crucial fact is that the Process Grammar is an example of the laws in Leyton's Generative Theory of Shape which give the ability to recover the design intents for which the shape features of a CAD model were created. The book demonstrates that the Process Grammar recovers important design intents in biological morphology and manufacturing design. In large-scale manufacturing systems, the recovery of design intents is important for solving the interoperability problem and product lifecycle management. This book is one of a series of books in Springer that elaborates Leyton's Generative Theory of Shape.

The Structure of Paintings

The Structure of Paintings PDF Author: Michael Leyton
Publisher: Springer
ISBN: 3211357424
Category : Computers
Languages : en
Pages : 228

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Book Description
Michael Leyton has developed new foundations for geometry in which shape is equivalent to memory storage. A principal argument of these foundations is that artworks are maximal memory stores. The theory of geometry is developed from Leyton's fundamental laws of memory storage, and this book shows that these laws determine the structure of paintings. Furthermore, the book demonstrates that the emotion expressed by a painting is actually the memory extracted by the laws. Therefore, the laws of memory storage allow the systematic and rigorous mapping not only of the compositional structure of a painting, but also of its emotional expression. The argument is supported by detailed analyses of paintings by Picasso, Raphael, Cezanne, Gauguin, Modigliani, Ingres, De Kooning, Memling, Balthus and Holbein.

Interface Cultures

Interface Cultures PDF Author: Christa Sommerer
Publisher: transcript Verlag
ISBN: 3839408849
Category : Social Science
Languages : en
Pages : 349

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Book Description
From media art archeology to contemporary interaction design - the term interface culture is based on a vivid and ongoing discourse in the fields of interactive art, interaction design, game design, tangible interfaces, auditory interfaces, fashionable technologies, wearable devices, intelligent ambiences, sensor technologies, telecommunication and new experimental forms of human-machine, human-human and machine-machine interactions and the cultural discourse surrounding them. This book's aim is to give an overview of the current state of interactive art and interface technology as well as an outlook on new forms of hybridization in art, media, scientific research and every-day media applications.

Ambient Intelligence for Scientific Discovery

Ambient Intelligence for Scientific Discovery PDF Author: Yang Cai
Publisher: Springer Science & Business Media
ISBN: 3540244662
Category : Computers
Languages : en
Pages : 322

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Book Description
Many difficult scientific discovery tasks can only be solved in interactive ways, by combining intelligent computing techniques with intuitive and adaptive user interfaces. It is inevitable to use human intelligence in scientific discovery systems: human eyes can capture complex patterns and relationships, along with detecting the exceptional cases in a data set; the human brain can easily manipulate perceptions to make decisions. Ambient intelligence is about this kind of ubiquitous and autonomous human interaction with information. Scientific discovery is a process of creative perception and communication, dealing with questions like: how do we significantly reduce information while maintaining meaning, or how do we extract patterns from massive data and growing data resources. Originating from the SIGCHI Workshop on Ambient Intelligence for Scientific Discovery, this state-of-the-art survey is organized in three parts: new paradigms in scientific discovery, ambient cognition, and ambient intelligence systems. Many chapters share common features such as interaction, vision, language, and biomedicine.

Multimedia Information Extraction

Multimedia Information Extraction PDF Author: Mark T. Maybury
Publisher: John Wiley & Sons
ISBN: 111821952X
Category : Computers
Languages : en
Pages : 436

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Book Description
The advent of increasingly large consumer collections of audio (e.g., iTunes), imagery (e.g., Flickr), and video (e.g., YouTube) is driving a need not only for multimedia retrieval but also information extraction from and across media. Furthermore, industrial and government collections fuel requirements for stock media access, media preservation, broadcast news retrieval, identity management, and video surveillance. While significant advances have been made in language processing for information extraction from unstructured multilingual text and extraction of objects from imagery and video, these advances have been explored in largely independent research communities who have addressed extracting information from single media (e.g., text, imagery, audio). And yet users need to search for concepts across individual media, author multimedia artifacts, and perform multimedia analysis in many domains. This collection is intended to serve several purposes, including reporting the current state of the art, stimulating novel research, and encouraging cross-fertilization of distinct research disciplines. The collection and integration of a common base of intellectual material will provide an invaluable service from which to teach a future generation of cross disciplinary media scientists and engineers.

Metarepresentation, Self-organization and Art

Metarepresentation, Self-organization and Art PDF Author: Wolfgang Wildgen
Publisher: Peter Lang
ISBN: 9783039116843
Category : Art
Languages : en
Pages : 306

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Book Description
This book is about the interrelationship between nature, semiosis, metarepresentation and (self-)consciousness, and the role played by metarepresentation in evolution. Representations must have emerged via self-organization from non-representational systems (found in physics, chemistry and biology). Major steps have been the evolution of molecules, macromolecules, life, and finally cultural and symbolic systems. Representations and signs are therefore parts of a huge, possibly branching «ladder of beings». Metarepresentations - images representing images, language about language and language-use, thoughts about thoughts - constitute a fascinating theme within such diverse areas of research as philosophy, literature, theology, anthropology and history, neuroscience, psychology and linguistics. The contributions to this book reflect this variety of different, but often interrelated perspectives on metarepresentation. They also exemplify the difficulties of a truly interdisciplinary discourse and show how one may start such a discourse in the field of semiotics, understood as a meta-discipline which brings together all scientific enterprises dealing with human mind and human culture.

Medial Representations

Medial Representations PDF Author: Kaleem Siddiqi
Publisher: Springer Science & Business Media
ISBN: 140208658X
Category : Mathematics
Languages : en
Pages : 446

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Book Description
The last half century has seen the development of many biological or physical t- ories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studied the properties of these skeletal descriptions of shape, and, stimulated by the many areas where medial models are useful, computer scientists and engineers have developed numerous algorithms for computing and using these models. We bring this kno- edge and experience together into this book in order to make medial technology more widely understood and used. The book consists of an introductory chapter, two chapters on the major mat- matical results on medial representations, ?ve chapters on algorithms for extracting medial models from boundary or binary image descriptions of objects, and three chapters on applications in image analysis and other areas of study and design. We hope that this book will serve the science and engineering communities using medial models and will provide learning material for students entering this ?eld. We are fortunate to have recruited many of the world leaders in medial theory, algorithms, and applications to write chapters in this book. We thank them for their signi?cant effort in preparing their contributions. We have edited these chapters and have combined them with the ?ve chapters that we have written to produce an integrated whole.