SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS

The paper describes new properties of the singular matrix decomposition. It is shown that permutation of rows or columns of the matrix or matrix rotation by 90 degrees does not change the set of its singular numbers. However, variation the value of at least one matrix element or permutation of any t...

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Bibliographic Details
Main Author: V. V. Starovoitov
Format: Article
Language:Russian
Published: National Academy of Sciences of Belarus, the United Institute of Informatics Problems 2017-06-01
Series:Informatika
Online Access:https://inf.grid.by/jour/article/view/213
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Summary:The paper describes new properties of the singular matrix decomposition. It is shown that permutation of rows or columns of the matrix or matrix rotation by 90 degrees does not change the set of its singular numbers. However, variation the value of at least one matrix element or permutation of any two matrix elements leads to a modification of the whole set of the singular numbers. Examples of image sharpening and contrast enhancement by modification of the singular numbers are given.
ISSN:1816-0301