| Abstract:
In this talk, we introduce the applications of third-order reduced
biquaternion tensors in color video processing. We first develop
algorithms for computing the singular value decomposition (SVD) of a
third-order reduced biquaternion tensor via a new Ht-product. As
theoretical applications, we define the Moore-Penrose inverse of a
third-order reduced biquaternion tensor and develop its characterizations.
In addition, we discuss the general (or Hermitian) solutions to reduced
biquaternion tensor equation
\( \mathcal{A}\ast_{Ht} \mathcal{X}=\mathcal{B} \)
as well as its least-square solution. Finally, we compress the color video
by this SVD, and the experimental data shows that our method is faster than
the compared scheme.
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