Images are a convenient way for humans to obtain information and knowledge, but they are
often destroyed throughout the collection or distribution process. Therefore, image …

Recently, tensor train rank, defined by a well-balanced matricization scheme, has been
shown the powerful capacity to capture the hidden correlations among different modes of a …

The image nonlocal self-similarity (NSS) prior refers to the fact that a local patch often has
many nonlocal similar patches to it across the image and has been widely applied in many …

The main aim of this paper is to develop the quaternion generalized minimal residual
method (QGMRES) for solving quaternion linear systems. Quaternion linear systems arise …

Low-rank quaternion tensor completion method, a novel approach to recovery color videos
and images, is proposed in this paper. We respectively reconstruct a color image and a color …

The class of quaternion matrix optimization (QMO) problems, with quaternion matrices as
decision variables, has been widely used in color image processing and other engineering …

In recent years, many agriculture-related problems have been evaluated with the integration
of artificial intelligence techniques and remote sensing systems. The rapid and accurate …

This paper studies the eigenvalues of quaternion tensors and their applications. Firstly, we
investigate the definitions and properties of the left and right eigenvalues of the quaternion …

Fine-grained visual classification aims to identify images that belong to multiple
subcategories within the same category. This is a challenging task as there are only subtle …

Edge detection is the prominent method to determine the discontinuities present in an
image. There exists an issue of loss of information and correlation during the extraction of …