This book presents various contributions of splines to signal and image processing from a
unified perspective that is based on the Zak transform (ZT). It expands the methodology from
periodic splines which were presented in the first volume to non-periodic splines. Together
these books provide a universal toolbox accompanied by MATLAB software for manipulating
polynomial and discrete splines spline-based wavelets wavelet packets and wavelet frames for
signal image processing applications. In this volume we see that the ZT provides an integral
representation of discrete and polynomial splines which to some extent is similar to Fourier
integral. The authors explore elements of spline theory and design and consider different
types of polynomial and discrete splines. They describe applications of spline-based wavelets
to data compression. These splines are useful for real-time signal processing and in
particular real-time wavelet and frame transforms. Further topics addressed in this volume
include: global splines such as interpolating self-dual and smoothing whose supports are
infinite the compactly supported quasi-interpolating and smoothing splines including
quasi-interpolating splines on non-uniform grids and cubic Hermite splines as a source for the
design of multiwavelets and multiwavelet frames. Readers from various disciplines including
engineering computer science and mathematical information technology will find the
descriptions of algorithms applications and software in this book especially useful.
