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For the first time quaternions have been used for real-time frequency estimation, where the multi-dimensional nature of quaternions allows for the full characterization of three-phase power systems. This is achieved through the use of…

Systems and Control · Computer Science 2016-03-25 Sayed Pouria Talebi , Professor Danilo P. Mandic

Medical images are characterized by intricate and complex features, requiring interpretation by physicians with medical knowledge and experience. Classical neural networks can reduce the workload of physicians, but can only handle these…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Yangyang Li , Zhengya Qia , Yuelin Lia , Haorui Yanga , Ronghua Shanga , Licheng Jiaoa

The linear canonical wavelet transform has been shown to be a valuable and powerful time-frequency analyzing tool for optics and signal processing. In this article, we propose a novel transform called quaternion linear canonical wavelet…

Functional Analysis · Mathematics 2020-06-15 Aajaz A. Teali

Sound is a fundamental and rich source of information; playing a key role in many areas from humanities and social sciences through to engineering and mathematics. Sound is more than just data 'signals'. It encapsulates physical, sensorial…

Sound · Computer Science 2023-03-24 Benjamin Kenwright

In this paper, we propose a Sparse Low-rank Quaternion Approximation (SLRQA) model for color image processing problems with noisy observations. %Different from the existing color image processing models, The proposed SLRQA is a quaternion…

Optimization and Control · Mathematics 2025-02-11 Zhanwang Deng , Yuqiu Su , Wen Huang

We present a palette-based framework for color composition for visual applications. Color composition is a critical aspect of visual applications in art, design, and visualization. The color wheel is often used to explain pleasing color…

Graphics · Computer Science 2018-06-22 Jianchao Tan , Jose Echevarria , Yotam Gingold

The computational cost of exact methods for quantum simulation using classical computers grows exponentially with system size. As a consequence, these techniques can only be applied to small systems. By contrast, we demonstrate that quantum…

Quantum Physics · Physics 2008-12-17 Ivan Kassal , Stephen P. Jordan , Peter J. Love , Masoud Mohseni , Alán Aspuru-Guzik

While gain-loss-coupled photonic platforms have achieved significant success in studying classical parity-time (PT) symmetry, they encounter challenges in demonstrating pure quantum effects due to incompatible operator transformations and…

This paper presents a novel and efficient image enhancement method based on pigment representation. Unlike conventional methods where the color transformation is restricted to pre-defined color spaces like RGB, our method dynamically adapts…

Image and Video Processing · Electrical Eng. & Systems 2025-10-06 Se-Ho Lee , Keunsoo Ko , Seung-Wook Kim

This article investigates Kak neural networks, which can be instantaneously trained, for complex and quaternion inputs. The performance of the basic algorithm has been analyzed and shown how it provides a plausible model of human perception…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Adityan Rishiyur

Counting problems, determining the number of possible states of a large system under certain constraints, play an important role in many areas of science. They naturally arise for complex disordered systems in physics and chemistry, in…

Statistical Mechanics · Physics 2009-05-15 Marc Timme , Frank van Bussel , Denny Fliegner , Sebastian Stolzenberg

Color centers in wide band gap semiconductors are prominent candidates for solid-state quantum technologies due to their attractive properties including optical interfacing, long coherence times, spin-photon and spin-spin entanglement, as…

Quantum Physics · Physics 2024-06-19 Sridhar Majety , Pranta Saha , Victoria A. Norman , Marina Radulaski

Computational color constancy refers to the problem of computing the illuminant color so that the images of a scene under varying illumination can be normalized to an image under the canonical illumination. In this paper, we adopt a deep…

Computer Vision and Pattern Recognition · Computer Science 2016-08-30 Seoung Wug Oh , Seon Joo Kim

Colors play a particularly important role in both designing and accessing Web pages. A well-designed color scheme improves Web pages' visual aesthetic and facilitates user interactions. As far as we know, existing color assessment studies…

Human-Computer Interaction · Computer Science 2012-08-16 Ou Wu

We treat the quaternionic Fourier transform (QFT) applied to quaternion fields and investigate QFT properties useful for applications. Different forms of the QFT lead us to different Plancherel theorems. We relate the QFT computation for…

Rings and Algebras · Mathematics 2013-06-06 Eckhard Hitzer

In this work, we develop a highly efficient representation of functions and differential operators based on Fourier analysis. Using this representation, we create a variational hybrid quantum algorithm to solve static, Schr\"odinger-type,…

We consider a differential model describing neuro-physiological contrast perception phenomena induced by surrounding orientations. The mathematical formulation relies on a cortical-inspired modelling [10] largely used over the last years to…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Marcelo Bertalmío , Luca Calatroni , Valentina Franceschi , Benedetta Franceschiello , Dario Prandi

A brief overview of the status of color transparency experiments is presented. We report on the first complete calculations of color transparency within a perturbative QCD framework. We also comment on the underlying factorization method…

High Energy Physics - Phenomenology · Physics 2009-10-31 John P. Ralston , Pankaj Jain , Bijoy Kundu , Jim Samuelsson

With the rapid progress in quantum hardware and software, the need for verification of quantum systems becomes increasingly crucial. While model checking is a dominant and very successful technique for verifying classical systems, its…

Data Structures and Algorithms · Computer Science 2025-03-07 Xin Hong , Dingchao Gao , Sanjiang Li , Shenggang Ying , Mingsheng Ying

The aim of the study is the description of problem of developing web design for people with color blindness. The objectives of the study are familiarising with the exiting algorithms of simulation color blindness and searching the most…

Human-Computer Interaction · Computer Science 2018-08-08 Anna M. Horlo , Iryna S. Mintii
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