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Image Reconstruction in Linear Algebra

by Andrzej Kędzierawski (SUNY Geneseo) and Olympia Nicodemi (SUNY Geneseo)

This article originally appeared in:
College Mathematics Journal
March, 2001

Subject classification(s): Analysis | Signal Analysis | Image Processing
Applicable Course(s): 2.5 Intro Math Modeling

The main object is to solve the inverse problem of recovering the original scene, represented by a vector or a matrix, from its photograph, represented by a product of a matrix and the original vector or matrix. The solution of the resulting matrix equation gives rise to the reconstruction of the original scene.

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Capsule Course Topic(s):
Linear Algebra | Application: Signal & Image Processing
Linear Algebra | Matrix Invertibility
Linear Algebra | Matrix Multiplication
Linear Algebra | Partitioned Matrices & Block Multiplication
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