Descomposición en valores singulares de una matriz: Un repaso por los fundamentos teóricos y sus aplicaciones en el procesamiento de imágenes

This review paper systematizes a detailed, didactical and own construction of the singular value decomposition (SVD). The theory is complemented with relevant applications to image processing. Also, the algorithms of those applications and numerical examples are shown. The way how the document is organized allows it to be useful for students and researchers with interest in the SVD and its applications to image processing.