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Topological Modeling for Visualization (Paperback, Softcover reprint of the original 1st ed. 1997)
Loot Price: R1,574
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Topological Modeling for Visualization (Paperback, Softcover reprint of the original 1st ed. 1997)
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The flood of information through various computer networks such as
the In ternet characterizes the world situation in which we live.
Information worlds, often called virtual spaces and cyberspaces,
have been formed on computer networks. The complexity of
information worlds has been increasing almost exponentially through
the exponential growth of computer networks. Such nonlinearity in
growth and in scope characterizes information worlds. In other
words, the characterization of nonlinearity is the key to
understanding, utiliz ing and living with the flood of information.
The characterization approach is by characteristic points such as
peaks, pits, and passes, according to the Morse theory. Another
approach is by singularity signs such as folds and cusps. Atoms and
molecules are the other fundamental characterization ap proach.
Topology and geometry, including differential topology, serve as
the framework for the characterization. Topological Modeling for
Visualization is a textbook for those interested in this
characterization, to understand what it is and how to do it.
Understanding is the key to utilizing information worlds and to
living with the changes in the real world. Writing this textbook
required careful preparation by the authors. There are complex
mathematical concepts that require designing a writing style that
facilitates understanding and appeals to the reader. To evolve a
style, we set as a main goal of this book the establishment of a
link between the theoretical aspects of modern geometry and
topology, on the one hand, and experimental computer geometry, on
the other.
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