SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS

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...

Full description

Bibliographic Details
Main Author: V. V. Starovoitov
Format: Article
Language:Russian
Published: The United Institute of Informatics Problems of the National Academy of Sciences of Belarus 2017-06-01
Series:Informatika
Online Access:https://inf.grid.by/jour/article/view/213
id doaj-c8d1b216eea54eb7946b11259b5f1281
record_format Article
spelling doaj-c8d1b216eea54eb7946b11259b5f12812021-07-28T21:07:23ZrusThe United Institute of Informatics Problems of the National Academy of Sciences of Belarus Informatika1816-03012017-06-0102(54)7083212SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSISV. V. Starovoitov0Объединенный институт проблем информатики НАН БеларусиThe 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.https://inf.grid.by/jour/article/view/213
collection DOAJ
language Russian
format Article
sources DOAJ
author V. V. Starovoitov
spellingShingle V. V. Starovoitov
SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS
Informatika
author_facet V. V. Starovoitov
author_sort V. V. Starovoitov
title SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS
title_short SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS
title_full SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS
title_fullStr SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS
title_full_unstemmed SINGULAR VALUE DECOMPOSITION IN DIGITAL IMAGE ANALYSIS
title_sort singular value decomposition in digital image analysis
publisher The United Institute of Informatics Problems of the National Academy of Sciences of Belarus
series Informatika
issn 1816-0301
publishDate 2017-06-01
description 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.
url https://inf.grid.by/jour/article/view/213
work_keys_str_mv AT vvstarovoitov singularvaluedecompositionindigitalimageanalysis
_version_ 1721263029355544576

Similar Items