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Topology-based Methods in Visualization (Mathematics and Visualization)
Topology-based Methods in Visualization (Mathematics and Visualization)
Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued.

Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new...

Topological Algorithms for Digital Image Processing (Machine Intelligence and Pattern Recognition)
Topological Algorithms for Digital Image Processing (Machine Intelligence and Pattern Recognition)
Objects in three dimensions, and their two-dimensional images, are approximated digitally by sets of voxels ("volume elements") or pixels ("picture elements"), respectively. Digital geometry is the study of geometric properties of digitized objects (or digitized images of objects); it deals both with the definitions of such...
Solar Flare Magnetic Fields and Plasmas
Solar Flare Magnetic Fields and Plasmas

This volume is devoted to the dynamics and diagnostics of solar magnetic fields and plasmas in the Sun’s atmosphere. Five broad areas of current research in Solar Physics are presented: (1) New techniques for incorporating radiation transfer effects into three-dimensional magnetohydrodynamic models of the solar interior and atmosphere,...

Thirty Essays on Geometric Graph Theory (Algorithms and Combinatorics)
Thirty Essays on Geometric Graph Theory (Algorithms and Combinatorics)

In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial...

Theory and Practice of Uncertain Programming
Theory and Practice of Uncertain Programming
Real-life decisions are usually made in the state of uncertainty (randomness, fuzziness, roughness, etc.). How do we model optimization problems in uncertain environments? How do we solve these models? In order to answer these questions, this book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory....
Machine Vision for the Inspection of Natural Products
Machine Vision for the Inspection of Natural Products
Machine vision technology has revolutionised the process of automated inspection in manufacturing. The specialist techniques required for inspection of natural products, such as food, leather, textiles and stone is still a challenging area of research. Topological variations make image processing algorithm development, system integration and...
Theory of Linear Operations (North-Holland Mathematical Library)
Theory of Linear Operations (North-Holland Mathematical Library)
The theory of operators, created by V. Volterra, has as its object the study of functions defined on infinite-dimensional spaces. This theory has penetrated several highly important areas of mathematics in an essential way: suffice it to recall that the theory of integral equations and the calculus of variations are included as special cases within...
Patterns in Network Architecture: A Return to Fundamentals
Patterns in Network Architecture: A Return to Fundamentals
Groundbreaking Patterns for Building Simpler, More Powerful Networks

 

In Patterns in Network Architecture, pioneer John Day takes a unique approach to solving the problem of network architecture. Piercing the fog of history, he bridges the gap between our experience from the...

Locally Convex Spaces (Graduate Texts in Mathematics)
Locally Convex Spaces (Graduate Texts in Mathematics)

For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of...

The Concept of Number: From Quaternions to Monads and Topological Fields (Mathematics and Its Applications)
The Concept of Number: From Quaternions to Monads and Topological Fields (Mathematics and Its Applications)
This book consists of lectures that I have given, in Darmstadt since 1974, under various titles, for beginners or students of the third semester.

I have tried to concentrate on those themes concerning numbers, which seem to me to be the most important on essential and historical grounds, and which in my opinion
...
Computational Social Network Analysis: Trends, Tools and Research Advances (Computer Communications and Networks)
Computational Social Network Analysis: Trends, Tools and Research Advances (Computer Communications and Networks)

Social networks provide a powerful abstraction of the structure and dynamics of diverse kinds of people or people-to-technology interaction. Web 2.0 has enabled a new generation of web-based communities, social networks, and folksonomies to facilitate collaboration among different communities.

This unique text/reference compares...

Topological Data Structures for Surfaces: An Introduction to Geographical Information Science
Topological Data Structures for Surfaces: An Introduction to Geographical Information Science

In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-specific features. Drawn from many disciplines with a strong applied aspect, this is a research-led, interdisciplinary approach to the creation,...

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