A short course in computational geometry and topology

A Short Course in Computational Geometry and Topology

a short course in computational geometry and topology

This monograph presents a short course in computational geometry and topology . In the first part the book covers Voronoi diagrams and Delaunay triangulations.

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This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e. The target audience comprises researchers and practitioners in mathematics, biology, neuroscience and computer science, but the book may also be beneficial to graduate students of these fields. Springer Professional. Back to the search result list. Table of Contents Frontmatter Chapter 1.

Springer, , ISBN , pages. Computational geometry is not a precisely defined field. Often, it is understood as a nearly mathematical discipline, dealing mainly with complexity questions Springer, The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all

To work with TDA computationally, a background in algebraic topology is necessary. More concrete. More concretely, one must be acquainted with homology theory, as the idea of these emergent "shapes" rests on a framework known as persistent homology. Edelsbrunner has written a marvelous monograph from course notes that he and a colleague assembled recently. The course is a graduate-level course at Duke University. Indeed, the book is organized by lecture, so if one is amenable to auto-didacticism, then one can learn this subject quite readily from the book. Of course, as I mention above, it definitely helps to have a solid background in algebraic topology, but even if one isn't already acquainted with the subject, an undergraduate-level background in modern algebra groups and graphs will suffice.

We use cookies to give you the best possible experience. By using our website you agree to our use of cookies. Dispatched from the UK in 3 business days When will my order arrive? Ashwin Rao. Herbert Edelsbrunner. Sujoy Kumar Saha.



Edelsbrunner H. A Short Course in Computational Geometry and Topology

I always loved mathematics and in particular geometry and topology. My next favorite subject is philosophy.

A short course in computational geometry and topology

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2 thoughts on “A short course in computational geometry and topology

  1. The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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