Applications of Linear Algebra in Image Processing

Yiwen Zhang

Xi'an Jiaotong-Liverpool University

Abstract：

Linear algebra is an important mathematical foundation of image processing. This paper analyzes its applications in image representation, pre-processing, enhancement, transformation, feature extraction, segmentation, and compression. Matrix and vector operations enable structured image representation and efficient computation, providing theoretical and technical support for modern image processing.

Key Words：

linear algebra; image processing; linear transformation