Computational Proximity

Excursions in the Topology of Digital Images

Nonfiction, Computers, Advanced Computing, Artificial Intelligence, General Computing
Cover of the book Computational Proximity by James F. Peters, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: James F. Peters ISBN: 9783319302621
Publisher: Springer International Publishing Publication: April 20, 2016
Imprint: Springer Language: English
Author: James F. Peters
ISBN: 9783319302621
Publisher: Springer International Publishing
Publication: April 20, 2016
Imprint: Springer
Language: English

This book introduces computational proximity (CP) as an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. Typically in computational proximity, the book starts with some form of proximity space (topological space equipped with a proximity relation) that has an inherent geometry. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets. It is shown that connectedness, boundedness, mesh nerves, convexity, shapes and shape theory are principal topics in the study of nearness and separation of physical aswell as abstract sets. CP has a hefty visual content. Applications of CP in computer vision, multimedia, brain activity, biology, social networks, and cosmology are included. The book has been derived from the lectures of the author in a graduate course on the topology of digital images taught over the past several years. Many of the students have provided important insights and valuable suggestions. The topics in this monograph introduce many forms of proximities with a computational flavour (especially, what has become known as the strong contact relation), many nuances of topological spaces, and point-free geometry.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book introduces computational proximity (CP) as an algorithmic approach to finding nonempty sets of points that are either close to each other or far apart. Typically in computational proximity, the book starts with some form of proximity space (topological space equipped with a proximity relation) that has an inherent geometry. In CP, two types of near sets are considered, namely, spatially near sets and descriptivelynear sets. It is shown that connectedness, boundedness, mesh nerves, convexity, shapes and shape theory are principal topics in the study of nearness and separation of physical aswell as abstract sets. CP has a hefty visual content. Applications of CP in computer vision, multimedia, brain activity, biology, social networks, and cosmology are included. The book has been derived from the lectures of the author in a graduate course on the topology of digital images taught over the past several years. Many of the students have provided important insights and valuable suggestions. The topics in this monograph introduce many forms of proximities with a computational flavour (especially, what has become known as the strong contact relation), many nuances of topological spaces, and point-free geometry.

More books from Springer International Publishing

Cover of the book Laser Pulse Heating of Surfaces and Thermal Stress Analysis by James F. Peters
Cover of the book Game Theoretic Analysis of Congestion, Safety and Security by James F. Peters
Cover of the book Production, Handling and Characterization of Particulate Materials by James F. Peters
Cover of the book Antibody Therapy by James F. Peters
Cover of the book Intimacies of Violence in the Settler Colony by James F. Peters
Cover of the book Marine Fog: Challenges and Advancements in Observations, Modeling, and Forecasting by James F. Peters
Cover of the book Law and Economics in Europe and the U.S. by James F. Peters
Cover of the book Smart Grids: Security and Privacy Issues by James F. Peters
Cover of the book Crisis-Related Decision-Making and the Influence of Culture on the Behavior of Decision Makers by James F. Peters
Cover of the book Challenging Topics in Neuroanesthesia and Neurocritical Care by James F. Peters
Cover of the book Countering Islamophobia in Europe by James F. Peters
Cover of the book New Perspectives on Internationalization and Competitiveness by James F. Peters
Cover of the book Numerical Mathematics and Advanced Applications ENUMATH 2017 by James F. Peters
Cover of the book Future Network Systems and Security by James F. Peters
Cover of the book Power Electronics by James F. Peters
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy