The article provides arguments in favor of an alternative approach that uses splines, which is
equally justifiable on a theoretical basis, and which offers many practical advantages. To …

The purpose of this note is to highlight some of the unique properties of spline wavelets.
These wavelets can be classified in four categories: orthogonal (Battle-Lemarie), semi …

We discuss a unified framework of representation of signals using polynomial spline basis
functions and wavelets. The emphasis is on signal processing interpretation of these …

The purpose of this book is to give a comprehensive introduction to the theory of spline
functions, together with some applications to various fields, emphasizing the significance of …

This paper presents an extension of the family of orthogonal Battle/Lemarié spline wavelet
transforms with emphasis on filter bank implementation. Spline wavelets that are not …

The authors are concerned with the derivation of general methods for the L/sub
2/approximation of signals by polynomial splines. The main result is that the expansion …

The purpose of this correspondence is to present a theoretical analysis of B-spline signal
representations from a signal processing point of view. The main advantage is that both the …

This paper presents the use of B-splines as a tool in various digital signal processing
applications. The theory of B-splines is briefly reviewed, followed by discussions on B-spline …

We describe a fast noniterative algorithm for the evaluation of continuous spline wavelet
transforms at any integer scale m. In this approach, the input signal and the analyzing …

The ten chapters in this monograph are a compilation of the material I presented at the
Regional Conference on Theory and Applications of Multivariate Splines held at Howard …