Automated classification systems have allowed for the rapid development of digital large sky
surveys. Such systems increase the independence of human intervention in the analysis …

The quantum Fourier transform (QFT) is the important operation in quantum computing. It is
used in many algorithms, including the Shor's quantum algorithm for finding the prime …

In this paper, we describe new methods of color image enhancement alpha-rooting by the
2D quaternion discrete Fourier transform (QDFT) in the commutative algebra, or the (2, 2) …

Counterfeiting is an incredibly widespread problem, with some estimates placing its
economic impact above 2% of worldwide GDP. The scale of the issue suggests that current …

Color in an image is resolved into 3 or 4 color components and 2-Dimages of these
components are stored in separate channels. Most of the color image enhancement …

Advances in data recording, data storage, and computing power have made possible both
the collection and analysis of signals on a new domain: graphs. Here, a signal's structure is …

Methods of digital image processing are widely used in medical imaging, when different
types of images with cancer require to perform a complex processing of images. For many …

In this paper, we describe the method of filtering the frequency components of the signals
and images, by using the discrete signal-induced heap transforms (DsiHT), which are …

This paper describes a new class of discrete heap transforms which are unitary energy-
preserving transforms and induced by input signals. These transforms have a simple form of …

The concept of the N-point DFT is generalized, by considering it in the real space (not
complex). The multiplication by twiddle coefficients is considered in matrix form; as the …