An Overview of Linear Algebra in Image Processing

Suresh Rasappan, Pugalarasu Rajan

Abstract


Linear algebra plays a crucial role in image processing, providing a powerful mathematical framework for manipulating and analyzing digital images. This article provides a brief introduction to basic linear algebra concepts and techniques commonly used in image processing, including matrix operations, linear transformations. It discuss how these tools can be used to perform operations such as image filtering, compression, registration, and segmentation, and illustrate their use with concrete examples. This work highlight some of the key challenges and open problems in the field of linear algebra and image processing, and suggest future directions for research in this area. This overview aims to provide a broad perspective on the role of linear algebra in image processing, and to stimulate further research in this exciting and rapidly evolving field. For numerical simulation, MATLAB is utilized.

Keywords


Linear Algebra; Linear Operator; Homogeneity; Array Operation; Matrix Operation.

Full Text:

PDF

References


Speiser, J.M., 1986, July. Linear algebra algorithms for matrix-based signal processing. In Highly Parallel Signal Processing and Architectures (Vol. 614, pp. 2-12). SPIE.

Castillo-Rojas, W. and Hernández, C., 2021. Bibliographic Review on Data Mining Techniques Used with Weather Data. Programming and Computer Software, 47, pp.817-829.

Strang, G. and Nguyen, T., 1996. Wavelets and filter banks. SIAM.

Metaxas, D., Axel, L., Fichtinger, G. and Szekely, G. eds., 2008. Medical Image Computing and Computer-Assisted Intervention-MICCAI 2008: 11th International Conference, New York, NY, USA, September 6-10, 2008, Proceedings, Part I (Vol. 5241). Springer.

Meyer-Baese, A. and Schmid, V.J., 2014. Pattern recognition and signal analysis in medical imaging. Elsevier.




DOI: http://dx.doi.org/10.21533/scjournal.v12i2.262

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Suresh Rasappan, Pugalarasu Rajan

ISSN 2233 -1859

Digital Object Identifier DOI: 10.21533/scjournal

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License