Portada

COMPUTATIONAL PROXIMITY IBD

SPRINGER
04 / 2016
9783319302607
Inglés

Sinopsis

This book introduces computational proximity (CP) as an algorithmic approacháto finding nonempty sets of points thatáare either close to each other or far apart.áTypically in computational proximity, the bookástarts with some form of proximity space (topological space equipped with aáproximity relation) that has an inherent geometry. In CP,átwo types of near setsáare 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.áThe book has been derived from the lectures of the author in a graduate course on theátopology of digital images taught over the past several years. Many of theástudents have provided important insights and valuable suggestions.áThe topics in this monograph introduce many forms of proximities with aácomputational flavour (especially, what has become known as the strong contactárelation), many nuances of topological spaces, and point-free geometry.

PVP
135,49