Digital Functions and Data Reconstruction Digital-Discrete Methods

"The main topic of the book is data reconstruction, i.e. curve or surface fitting
to a given digital function. This is important for various engineering
applications, especially image processing… The present book focuses on the
concept of a gradually varied function (GVF) and its applications… The author
discusses in 11.3 the ‘natural’ continuity and smoothness. According to him,
such notions are not absolute as in the conventional theory in pure mathematics,
but rather depend on the scale to be considered. This is an interesting opinion…
This is a huge collection of the author’s works on the practical applications of
gradually varied functions. It is also a nice textbook for curve/surface
fitting.” (S. Hitotumatu, Mathematical Review, MR3013361)

“The book under review provides an introduction and comprehensive
survey of digital function methods and their applications to image data analysis
and data reconstruction. This is the first book about this important topic. It
is mainly written for graduate students in computer science and for researchers
who are interested in digital geometry, computer graphics, and data
reconstruction… Without any doubt, this book will be a valuable source of
information on digital functions and its applications.” (Manfred Tasche,
Zentralblatt MATH, Zbl 06102122)