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Least-squares solutions of the reduced biquaternion matrix equation AX=B and their applications in colour image restoration.
- Source :
-
Journal of Modern Optics . Oct2019, Vol. 66 Issue 18, p1802-1810. 9p. - Publication Year :
- 2019
-
Abstract
- In this study, we derive the expressions of the minimal norm least-squares solution for the reduced biquaternion (RB) matrix equation AX=B by using the e 1 − e 2 form of RB matrices, and the Moore–Penrose generalized inverse. Moreover, we investigate their applications in colour image restoration. Therefore, many useful image restoration methods can be extended to reduced biquaternion algebra without separating the colour image into three channels. To prove the authenticity of our results and to distinguish them from existing ones, some illustrative examples are also given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *IMAGE reconstruction
*COLOR
*EQUATIONS
*MATRICES (Mathematics)
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 09500340
- Volume :
- 66
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Journal of Modern Optics
- Publication Type :
- Academic Journal
- Accession number :
- 139429578
- Full Text :
- https://doi.org/10.1080/09500340.2019.1676474