Multidimensional curve fitting has applications in signal and image processing, control, and other engineering disciplines. The two important data fitting criteria are accuracy of the fit and the smoothness of the fit. In this paper, we discuss an algorithm for multidimensional smooth curve fitting where the cost function is a combination of two terms, one dealing with accuracy and the other on...

Many signal processing systems, particularly in the multimedia and telecommunication domains, are synthesized to execute dataintensive applications: their cost related aspects — namely power consumption and chip area — are heavily influenced, if not dominated, by the data access and storage aspects. This paper presents an energy-aware memory allocation methodology. Starting from the high-level ...

One of the key differences between one-dimensional (1-D) and N -D (N ≥ 2) signals is the geometrical information, an important and unique feature of multidimensional signals. The goal of this research is to develop a new set of theories and techniques in signal processing that can make better use of the intrinsic geometrical information in multidimensional data in a robust and efficient way. Th...

Wavelet transformation is one of the most practical mathematical transformations in the field of image processing, especially image and signal processing. Depending on the nature of the multiresolution analysis, Wavelet transformation become more accessible and powerful tools. In this paper, we refer to the mathematical foundations of this transformation.   Introduction: The...

Graphons are infinite-dimensional objects that represent the limit of convergent sequences graphs as their number nodes goes to infinity. This paper derives a theory graphon signal processing centered on notions Fourier transform and linear shift invariant filters, counterparts graph filters. It is shown for associated signals: (i) converges when bandlimited; (ii) spectral vertex responses filt...