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Bézier and splines in image processing and machine vision. (English) Zbl 1138.68061

London: Springer (ISBN 978-1-84628-956-9/hbk). xvii, 246 p. (2008).
Publisher’s description: Digital image processing and machine vision have grown considerably during the last few decades. Of the various techniques, developed so far splines play a positive and significant role in many of them. Strong mathematical theory and ease of implementations is one of the keys of their success in many research issues.
This book deals with various image processing and machine vision problems efficiently with splines and includes: the significance of Bernstein Polynomial in splines; effectiveness of Hilbert scan for digital images; detailed coverage of Beta-splines, which are relatively new, for possible future applications; discrete smoothing splines and their strength in application; snakes and active contour models and their uses; the significance of globally optimal contours and surfaces.
Finally the book covers wavelet splines which are efficient and effective in different image applications.

MSC:

68U10 Computing methodologies for image processing
68-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science
41A15 Spline approximation
41A30 Approximation by other special function classes
68T45 Machine vision and scene understanding
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