Title: Elements Of Digital Geometry, Mathematical Morphology, And Discrete Optimization
Publisher: World Scientific Publishing Co Pte Ltd
Publication Date: 2022
Language: English
ISBN 10: 981124829X
ISBN 13: 9789811248290
Binding: Hardcover
Condition: New

About this title

Synopsis

The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging. The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality. To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology. The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.

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