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Found 17 papers, 1 papers with code
$L_{2,1}$-Norm Regularized Quaternion Matrix Completion Using Sparse Representation and Quaternion QR Decomposition
Color image completion is a challenging problem in computer vision, but recent research has shown that quaternion representations of color images perform well in many areas.
The Color Clifford Hardy Signal: Application to Color Edge Detection and Optical Flow
This paper introduces the idea of the color Clifford Hardy signal, which can be used to process color images.
Quaternion tensor left ring decomposition and application for color image inpainting
Therefore, in this paper, based on the left quaternion matrix multiplication, we propose the quaternion tensor left ring (QTLR) decomposition, which inherits the powerful and generalized representation abilities of the TR decomposition while leveraging the advantages of quaternions for color pixel representation.
Quaternion Matrix Completion Using Untrained Quaternion Convolutional Neural Network for Color Image Inpainting
To address the two drawbacks of the existing quaternion matrix completion approaches mentioned above, this paper tends to use an untrained quaternion convolutional neural network (QCNN) to directly generate the completed quaternion matrix.
Fixed-time synchronization for quaternion-valued memristor-based neural networks with mixed delays
In this paper, the fixed-time synchronization (FXTSYN) of unilateral coefficients quaternion-valued memristor-based neural networks (UCQVMNNs) with mixed delays is investigated.
Quaternion Tensor Completion with Sparseness for Color Video Recovery
A novel low-rank completion algorithm based on the quaternion tensor is proposed in this paper.
Low Rank Quaternion Matrix Completion Based on Quaternion QR Decomposition and Sparse Regularizer
In contrast to the traditional quaternion matrix completion algorithms based on quaternion singular value decomposition (QSVD), we propose a novel method based on quaternion Qatar Riyal decomposition (QQR).
Quaternion Tensor Train Rank Minimization with Sparse Regularization in a Transformed Domain for Quaternion Tensor Completion
Combining both the global low-rank and local sparse priors of the quaternion tensor, we propose a novel quaternion tensor completion model, i. e., QTT-rank minimization with sparse regularization in a transformed domain.
Quaternion Optimized Model with Sparse Regularization for Color Image Recovery
In addition, the representation of a low-rank structure that is intrinsic to the color image is a vital issue in the quaternion matrix completion problem.
Quaternion-based dynamic mode decomposition for background modeling in color videos
In this study, we propose a quaternion-based DMD (Q-DMD), which extends the DMD by quaternion matrix analysis, so as to completely preserve the inherent color structure of the color image and the color video.
A Robust Lane Detection Associated with Quaternion Hardy Filter
In this article, a robust color-edge feature extraction method based on the Quaternion Hardy filter is proposed.
Low Rank Quaternion Matrix Recovery via Logarithmic Approximation
From one side, unlike the traditional matrix completion method that handles RGB channels separately, the quaternion-based method is able to avoid destroying the structure of images via putting the color image in a pure quaternion matrix.
Quaternion higher-order singular value decomposition and its applications in color image processing
In more recent years, the quaternion has proven to be a very suitable tool for color pixel representation as it can well preserve cross-channel correlation of color channels.
A Robust Color Edge Detection Algorithm Based on Quaternion Hardy Filter
The QHF can be capable of color edge feature enhancement and noise resistance.
Color image recovery using low-rank quaternion matrix completion algorithm
As a new color image representation tool, quaternion has achieved excellent results in color image processing problems.
Numerical Analysis Numerical Analysis Image and Video Processing
A Robust Color Edge Detection Algorithm Based on Quaternion Hardy Filter
This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection.
Facial Expression Classification Using Rotation Slepian-based Moment Invariants
This paper presents a novel kind of rotation moment invariants based on the Slepian functions, which were originally introduced in the method of separation of variables for Helmholtz equations.
