Overview
- Comprehensive treatment of approximation or interpolation subjects in the context of image analysis (or data analysis in general)
- First-time book bringing discrete and continuous geometry together to these subjects
- A balanced presentation of fundamental and applied work, supporting practioners in understanding theoretical concepts, and theorists in understanding potential applications
- Presentation of new research results in approximation theory, and discrete or continuous geometry within the general orientation of the book
- Interesting connections to computational or algorithmic geometry
Part of the book series: Computational Imaging and Vision (CIVI, volume 31)
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Table of contents (20 chapters)
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Front Matter
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Continous Geometry
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Discrete Geometry
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Continous Geometry
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Approximation and Regularization
Keywords
About this book
Computer vision and image analysis require interdisciplinary collaboration between mathematics and engineering. This book addresses the area of high-accuracy measurements of length, curvature, motion parameters and other geometrical quantities from acquired image data. It is a common problem that these measurements are incomplete or noisy, such that considerable efforts are necessary to regularise the data, to fill in missing information, and to judge the accuracy and reliability of these results. This monograph brings together contributions from researchers in computer vision, engineering and mathematics who are working in this area.
The book can be read both by specialists and graduate students in computer science, electrical engineering or mathematics who take an interest in data evaluations by approximation or interpolation, in particular data obtained in an image analysis context.
Reviews
From the reviews:
"This compendium should be treated as a higher-level text with the target audience being computer scientists, electrical engineers, and mathematician, both in the research and industrial settings. Graduate-level students interested in pursuing advanced treatments of the topic can benefit from reading this book as well. … This text is an important and worthwhile contribution to the computational imaging and vision literature; it is easy to read and rigorous in its mathematical development." (R. Goldberg, ACM Computing Reviews, Vol. 49 (4), April, 2008)
Editors and Affiliations
Bibliographic Information
Book Title: Geometric Properties for Incomplete Data
Editors: Reinhard Klette, Ryszard Kozera, Lyle Noakes, Joachim Weickert
Series Title: Computational Imaging and Vision
DOI: https://doi.org/10.1007/1-4020-3858-8
Publisher: Springer Dordrecht
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer Science+Business Media B.V. 2006
Hardcover ISBN: 978-1-4020-3857-0Published: 09 December 2005
Softcover ISBN: 978-90-481-6982-5Published: 30 November 2010
eBook ISBN: 978-1-4020-3858-7Published: 14 March 2006
Series ISSN: 1381-6446
Edition Number: 1
Number of Pages: XVI, 392
Topics: Computer Imaging, Vision, Pattern Recognition and Graphics, Computational Mathematics and Numerical Analysis, Computer Graphics, Approximations and Expansions