Geometry of digital spaces
type: Item
instance of: scholarly article
title: Geometry of digital spaces
zbMATH Open document ID: 0902.65102
author: Gabor T. Herman
published in: Applied and Numerical Harmonic Analysis
publication date: 1998-09-09T00:00:00Z
review text: There are only a few books that address the processing of digital spaces -- 2D digital image and 3D digital volume data -- in a mathematical rigorous manner; this book is one of them. The author follows the path of strict mathematical definitions, theorems and proofs to discuss fundamental and important digital data and their processing. The methods discussed include boundary/edge detection and extraction, region growing, determining connected regions, boundary tracking, and processing, as a special case, binary images. Most of these methods are quite well known in the fields of image processing, computer vision and pattern recognition; nevertheless, it is quite a valuable contribution to formally study and present modern digital data processing methods. This book should be of interest to professionals and researchers in the areas of computer graphics, scientific visualization, digital image processing and computational geometry.
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 68U10
Mathematics Subject Classification ID: 68-02
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 92C55
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 65R10
zbMATH DE Number: 1197427
zbMATH Keywords: textbook
zbMATH Keywords: 2D digital image processing
zbMATH Keywords: 3D digital volume processing
zbMATH Keywords: boundary/edge detection and extraction
zbMATH Keywords: region growing
zbMATH Keywords: binary images
zbMATH Keywords: computer vision
zbMATH Keywords: pattern recognition
zbMATH Keywords: digital data processing
zbMATH Keywords: computer graphics
zbMATH Keywords: scientific visualization
zbMATH Keywords: computational geometry
reviewed by: Bernd Hamann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1197427