Geometric Properties for Incomplete Data
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.
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 subjectsA balanced presentation of fundamental and applied work, supporting practioners in understanding theoretical concepts, and theorists in understanding potential applicationsPresentation of new research results in approximation theory, and discrete or continuous geometry within the general orientation of the bookInteresting connections to computational or algorithmic geometry