… A primary goal of this book is to present basic concepts from topology and Morse … topology.
The author gives a self-contained presentation of the mathematical concepts from a computer …

… topology, in turn, undertakes the challenge of studying topology using a computer. … In
computer graphics, researchers encountered the problem of connectivity in reconstructing …

… We thank the computer science and the mathematics departments at Duke University and
the Berlin Mathematical School for the opportunity to teach computational topology to their …

… distributed computing based on algebraic topology have … distributed computing through
the lens of topology has been … played an important role in distributed computing, mostly for …

… unfamiliar to many computer scientists. … topology concepts needed to analyze distributed
computing. Conversely, although the systems and models used here are standard in computer …

… and corresponding computer programs from one area … computer program, Treetops, would
be useful to all areas of interest that deal with multibody structures in an open-tree topology. …

… an overview of this topology mapping issue and to … , the topology mapping problem can be
phrased as a minimization problem of various metrics. We will now discuss the static topology …

… Because algebraic topology is an area of mathematics with which most computer vision …
In terms of applications to computer vision, we focus on four illustrative problems: shape …

… fuzzy topology, which can potentially be used for computing … Mathematically, point set
topology can be applied as a … fuzzy topology, which is a generalization of ordinary topology by …

… The presence of an Alexandrov topology is rather typical of our computer science applications,
but it is only appropriate when the elements of its poset Proughly speaking - represent …